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空气常用参数表

M M*p/p0ρ/ρ0T/T0F/F*A/A*p/p0 A/A*M M*p/p0ρ/ρ0T/T0F/F*A/A*p/p0 A/A* 0.010.01100.9999300.9999500.999980 4.56494857.87384057.8697900.410.44180.8907110.9206570.9674740.866151 1.558673 1.388328 0.020.02190.9997200.9998000.999920 3.22916428.94213028.9340300.420.45220.8857220.9169710.9659220.863134 1.528905 1.354185 0.030.03290.9993700.9995500.999820 2.63831419.30054019.2883900.430.46260.8806510.9132170.9643390.860473 1.500718 1.321608 0.040.04380.9988810.9992000.999680 2.28692414.48149014.4652800.440.47290.8754980.9093980.9627230.858150 1.474005 1.290489 0.050.05480.9982520.9987510.999500 2.04787411.59144011.5711800.450.48330.8702670.9055130.9610760.856146 1.448672 1.260732 0.060.06570.9974840.9982020.999281 1.8721089.6659109.6415910.460.49360.8649610.9015660.9593980.854447 1.424629 1.232247 0.070.07660.9965780.9975540.999021 1.7361488.2915258.2631480.470.50380.8595800.8975560.9576890.853039 1.401795 1.204955 0.080.08760.9955330.9968070.998722 1.6271617.2616107.2291710.480.51410.8541280.8934860.9559500.851906 1.380097 1.178780 0.090.09850.9943510.9959620.998383 1.537460 6.461342 6.4248390.490.52430.8486070.8893570.9541800.851037 1.359468 1.153654 0.100.10940.9930310.9950170.998004 1.462122 5.821829 5.7812590.500.53450.8430190.8851700.9523810.850420 1.339844 1.129514 0.110.12040.9915760.9939760.997586 1.397827 5.299230 5.2545890.510.54470.8373670.8809270.9505520.850044 1.321168 1.106303 0.120.13130.9899850.9928360.997128 1.342247 4.864318 4.8156010.520.55480.8316540.8766300.9486950.849898 1.303388 1.083967 0.130.14220.9882590.9916000.996631 1.293691 4.496859 4.4440630.530.56490.8258810.8722790.9468080.849972 1.286454 1.062457 0.140.15310.9864000.9902670.996095 1.250899 4.182400 4.1255200.540.57500.8200500.8678760.9448940.850258 1.270321 1.041727 0.150.16390.9844080.9888380.995520 1.212908 3.910343 3.8493730.550.58510.8141650.8634220.9429510.850747 1.254948 1.021735 0.160.17480.9822850.9873140.994906 1.178971 3.672739 3.6076740.560.59510.8082280.8589200.9409820.851430 1.240294 1.002441 0.170.18570.9800300.9856950.994253 1.148494 3.463509 3.3943440.570.60510.8022410.8543710.9389850.852300 1.2263260.983809 0.180.19650.9776470.9839820.993562 1.121002 3.277926 3.2046540.580.61500.7962070.8497750.9369610.853350 1.2130070.965804 0.190.20740.9751350.9821760.992832 1.096107 3.112259 3.0348730.590.62490.7901270.8451350.9349120.854572 1.2003080.948396 0.200.21820.9724970.9802770.992064 1.073490 2.963520 2.8820130.600.63480.7840040.8404520.9328360.855961 1.1882000.931553 0.210.22900.9697330.9782860.991257 1.052885 2.829294 2.7436590.610.64470.7778410.8357280.9307350.857511 1.1766540.915249 0.220.23980.9668450.9762040.990413 1.034070 2.707602 2.6178320.620.65450.7716390.8309630.9286090.859214 1.1656460.899458 0.230.25060.9638350.9740320.989531 1.016854 2.596812 2.5028980.630.66430.7654020.8261600.9264580.861066 1.1551510.884155 0.240.26140.9607030.9717710.988611 1.001077 2.495562 2.3974950.640.67400.7591310.8213200.9242830.863062 1.1451480.869318 0.250.27220.9574530.9694210.9876540.986600 2.402710 2.3004810.650.68370.7528290.8164430.9220840.865196 1.1356160.854925 0.260.28290.9540850.9669840.9866600.973303 2.317287 2.2108880.660.69340.7464980.8115330.9198620.867464 1.1265350.840957 0.270.29360.9506000.9644600.9856300.961080 2.238471 2.1278910.670.70310.7401400.8065900.9176160.869861 1.1178870.827393 0.280.30430.9470020.9618510.9845620.949841 2.165554 2.0507830.680.71270.7337580.8016160.9153490.872382 1.1096550.814218 0.290.31500.9432910.9591570.9834580.939505 2.097928 1.9789560.690.72230.7273530.7966120.9130590.875024 1.1018220.801413 0.300.32570.9394700.9563800.9823180.930001 2.035065 1.9118820.700.73180.7209280.7915790.9107470.877782 1.0943730.788964 0.310.33640.9355400.9535210.9811420.921265 1.976507 1.8491010.710.74130.7144850.7865190.9084140.880653 1.0872940.776855 0.320.34700.9315030.9505800.9799310.913240 1.921851 1.7902100.720.75080.7080260.7814340.9060600.883633 1.0805710.765072 0.330.35760.9273620.9475600.9786840.905878 1.870745 1.7348570.730.76020.7015520.7763240.9036850.886718 1.0741920.753602 0.340.36820.9231180.9444600.9774030.899131 1.822876 1.6827290.740.76960.6950680.7711910.9012910.889906 1.0681440.742433 0.350.37880.9187730.9412830.9760860.892959 1.777969 1.6335490.750.77890.6885730.7660370.8988760.893192 1.0624170.731552 0.360.38930.9143300.9380290.9747350.887326 1.735778 1.5870730.760.78830.6820710.7608630.8964430.896574 1.0569990.720948 0.370.39990.9097900.9347000.9733500.882197 1.696086 1.5430820.770.79750.6755620.7556700.8939910.900048 1.0518810.710611 0.380.41040.9051560.9312970.9719310.877541 1.658696 1.5013790.780.80680.6690500.7504600.8915200.903613 1.0470530.700531 0.390.42090.9004300.9278210.9704780.873332 1.623433 1.4617880.790.81600.6625360.7452340.8890310.907264 1.0425050.690697 0.400.43130.8956140.9242740.9689920.869543 1.590140 1.4241520.800.82510.6560220.7399920.8865250.911000 1.0382300.681101

M M*p/p0ρ/ρ0T/T0F/F*A/A*p/p0 A/A*M M*p/p0ρ/ρ0T/T0F/F*A/A*p/p0 A/A* 0.810.83430.6495090.7347380.8840010.914817 1.0342190.671735 1.21 1.16580.4070210.5262050.773503 1.112962 1.0334400.420632 0.820.84330.6430000.7294710.8814610.918714 1.0304640.662589 1.22 1.17320.4017110.5212920.770606 1.118655 1.0365720.416402 0.830.85240.6364960.7241930.8789050.922687 1.0269590.653656 1.23 1.18060.3964470.5164030.767707 1.124370 1.0398350.412239 0.840.86140.6300000.7189050.8763320.926735 1.0236960.644928 1.24 1.18790.3912290.5115400.764807 1.130105 1.0432290.408141 0.850.87040.6235120.7136090.8737440.930855 1.0206690.636399 1.25 1.19520.3860580.5067010.761905 1.135860 1.0467530.404107 0.860.87930.6170340.7083060.8711410.935045 1.0178710.628061 1.26 1.20250.3809340.5018880.759002 1.141635 1.0504060.400136 0.870.88820.6105690.7029970.8685230.939304 1.0152970.619909 1.27 1.20970.3758580.4971020.756098 1.147428 1.0541890.396225 0.880.89700.6041170.6976830.8658910.943628 1.0129410.611935 1.28 1.21690.3708290.4923420.753194 1.153240 1.0581000.392373 0.890.90580.5976800.6923650.8632450.948016 1.0107980.604134 1.29 1.22400.3658470.4876090.750289 1.159068 1.0621380.388580 0.900.91460.5912600.6870440.8605850.952466 1.0088630.596500 1.30 1.23110.3609140.4829030.747384 1.164914 1.0663050.384844 0.910.92330.5848580.6817220.8579130.956976 1.0071310.589029 1.31 1.23820.3560290.4782250.744480 1.170775 1.0705980.381164 0.920.93200.5784760.6764000.8552270.961545 1.0055970.581714 1.32 1.24520.3511920.4735750.741576 1.176651 1.0750180.377538 0.930.94070.5721140.6710790.8525300.966171 1.0042580.574550 1.33 1.25220.3464030.4689540.738673 1.182542 1.0795650.373965 0.940.94930.5657750.6657590.8498200.970851 1.0031080.567534 1.34 1.25910.3416630.4643610.735770 1.188448 1.0842390.370444 0.950.95780.5594600.6604430.8470990.975585 1.0021450.560660 1.35 1.26600.3369710.4597970.732869 1.194366 1.0890380.366974 0.960.96630.5531700.6551300.8443660.980371 1.0013650.553924 1.36 1.27290.3323280.4552630.729970 1.200298 1.0939640.363555 0.970.97480.5469050.6498220.8416230.985206 1.0007630.547323 1.37 1.27970.3277330.4507580.727072 1.206242 1.0990150.360184 0.980.98330.5406690.6445200.8388700.990091 1.0003370.540851 1.38 1.28640.3231870.4462830.724176 1.212197 1.1041930.356861

0.990.99160.5344600.6392250.8361060.995023 1.0000840.534505 1.39 1.29320.3186900.4418380.721282 1.218164 1.1094960.353585

1.00 1.00000.5282820.6339380.833333 1.000000 1.0000000.528282 1.40 1.29990.3142410.4374230.718391 1.224141 1.1149260.350355 1.01 1.00830.5221340.6286600.830551 1.005022 1.0000830.522177 1.41 1.30650.3098410.4330390.715502 1.230129 1.1204810.347170 1.02 1.01660.5160180.6233910.827760 1.010087 1.0003300.516188 1.42 1.31310.3054890.4286860.712616 1.236126 1.1261620.344030 1.03 1.02480.5099350.6181330.824960 1.015194 1.0007380.510312 1.43 1.31970.3011850.4243630.709733 1.242132 1.1319690.340932 1.04 1.03300.5038860.6128870.822152 1.020341 1.0013050.504544 1.44 1.32620.2969290.4200720.706854 1.248147 1.1379030.337877 1.05 1.04110.4978720.6076530.819336 1.025528 1.0020290.498882 1.45 1.33270.2927220.4158120.703978 1.254171 1.1439630.334863 1.06 1.04920.4918940.6024320.816513 1.030753 1.0029070.493324 1.46 1.33920.2885630.4115830.701105 1.260201 1.1501500.331891 1.07 1.05730.4859520.5972250.813683 1.036015 1.0039380.487866 1.47 1.34560.2844520.4073860.698236 1.266239 1.1564630.328958 1.08 1.06530.4800470.5920330.810846 1.041312 1.0051190.482505 1.48 1.35200.2803880.4032200.695372 1.272284 1.1629040.326064 1.09 1.07330.4741810.5868560.808003 1.046644 1.0064490.477239 1.49 1.35830.2763720.3990860.692511 1.278336 1.1694710.323209 1.10 1.08120.4683540.5816960.805153 1.052010 1.0079250.472066 1.50 1.36460.2724030.3949840.689655 1.284393 1.1761670.320392 1.11 1.08910.4625670.5765530.802298 1.057408 1.0095470.466983 1.51 1.37080.2684820.3909140.686804 1.290455 1.1829910.317611 1.12 1.09700.4568200.5714270.799437 1.062838 1.0113120.461988 1.52 1.37700.2646070.3868760.683957 1.296523 1.1899430.314867 1.13 1.10480.4511150.5663200.796572 1.068298 1.0132190.457078 1.53 1.38320.2607790.3828700.681115 1.302596 1.1970240.312159 1.14 1.11260.4454510.5612320.793701 1.073787 1.0152670.452251 1.54 1.38940.2569980.3788970.678279 1.308673 1.2042340.309485 1.15 1.12030.4398290.5561640.790826 1.079306 1.0174540.447506 1.55 1.39550.2532620.3749550.675448 1.314753 1.2115740.306846 1.16 1.12800.4342510.5511160.787948 1.084851 1.0197800.442840 1.56 1.40150.2495730.3710450.672622 1.320838 1.2190440.304241 1.17 1.13560.4287160.5460900.785065 1.090424 1.0222420.438251 1.57 1.40750.2459300.3671680.669801 1.326925 1.2266440.301668 1.18 1.14320.4232250.5410850.782179 1.096022 1.0248400.433738 1.58 1.41350.2423320.3633230.666987 1.333016 1.2343760.299129 1.19 1.15080.4177790.5361020.779290 1.101645 1.0275730.429298 1.59 1.41950.2387790.3595110.664178 1.339109 1.2422390.296621 1.20 1.15830.4123770.5311420.776398 1.107292 1.0304400.424930 1.60 1.42540.2352710.3557300.661376 1.345204 1.2502350.294144

M M*p/p0ρ/ρ0T/T0F/F*A/A*p/p0 A/A*M M*p/p0ρ/ρ0T/T0F/F*A/A*p/p0 A/A* 1.61 1.43130.2318080.3519820.658579 1.351301 1.2583640.291699 2.01 1.63750.1258310.2275060.553091 1.593684 1.7016490.214121 1.62 1.43710.2283890.3482660.655789 1.357399 1.2666260.289283 2.02 1.64200.1238880.2249900.550637 1.599648 1.7159710.212587 1.63 1.44290.2250140.3445820.653006 1.363499 1.2750220.286898 2.03 1.64650.1219730.2225000.548192 1.605605 1.7304670.211070 1.64 1.44870.2216830.3409300.650229 1.369600 1.2835530.284542 2.04 1.65090.1200870.2200380.545756 1.611555 1.7451390.209568 1.65 1.45440.2183950.3373110.647459 1.375701 1.2922190.282214 2.05 1.65530.1182290.2176010.543331 1.617498 1.7599890.208082 1.66 1.46010.2151500.3337230.644695 1.381802 1.3010210.279915 2.06 1.65970.1164000.2151900.540915 1.623434 1.7750170.206611 1.67 1.46570.2119480.3301680.641939 1.387904 1.3099600.277643 2.07 1.66400.1145970.2128050.538509 1.629363 1.7902250.205155 1.68 1.47130.2087880.3266440.639190 1.394005 1.3190370.275399 2.08 1.66830.1128230.2104460.536113 1.635285 1.8056140.203714 1.69 1.47690.2056700.3231530.636448 1.400105 1.3282520.273181 2.09 1.67260.1110750.2081120.533726 1.641199 1.8211870.202288 1.70 1.48250.2025940.3196930.633714 1.406205 1.3376060.270990 2.10 1.67690.1093530.2058030.531350 1.647105 1.8369440.200876 1.71 1.48800.1995590.3162640.630987 1.412304 1.3471000.268825 2.11 1.68110.1076580.2035190.528983 1.653004 1.8528860.199478 1.72 1.49350.1965640.3128680.628267 1.418401 1.3567350.266686 2.12 1.68530.1059890.2012590.526626 1.658895 1.8690160.198094 1.73 1.49890.1936110.3095020.625555 1.424497 1.3665110.264571 2.13 1.68950.1043450.1990250.524279 1.664778 1.8853340.196724 1.74 1.50430.1906980.3061690.622851 1.430591 1.3764300.262482 2.14 1.69360.1027260.1968140.521943 1.670654 1.9018430.195368 1.75 1.50970.1878240.3028660.620155 1.436683 1.3864920.260416 2.15 1.69770.1011320.1946280.519616 1.676521 1.9185430.194026 1.76 1.51500.1849900.2995950.617467 1.442772 1.3966980.258375 2.16 1.70180.0995620.1924660.517299 1.682380 1.9354370.192696 1.77 1.52030.1821950.2963540.614787 1.448859 1.4070490.256357 2.17 1.70590.0980170.1903270.514991 1.688232 1.9525250.191380 1.78 1.52560.1794390.2931450.612115 1.454944 1.4175460.254362 2.18 1.70990.0964950.1882120.512694 1.694075 1.9698100.190077 1.79 1.53080.1767200.2899660.609451 1.461025 1.4281900.252390 2.19 1.71390.0949970.1861200.510407 1.699909 1.9872920.188786 1.80 1.53600.1740400.2868180.606796 1.467103 1.4389820.250441 2.20 1.71790.0935220.1840510.508130 1.705736 2.0049750.187509 1.81 1.54110.1713980.2837010.604149 1.473178 1.4499230.248513 2.21 1.72190.0920690.1820050.505863 1.711554 2.0228580.186243 1.82 1.54630.1687920.2806140.601511 1.479249 1.4610130.246608 2.22 1.72580.0906400.1799810.503606 1.717363 2.0409440.184990 1.83 1.55140.1662240.2775570.598881 1.485316 1.4722550.244723 2.23 1.72970.0892320.1779800.501359 1.723164 2.0592340.183749 1.84 1.55640.1636910.2745300.596260 1.491380 1.4836480.242860 2.24 1.73360.0878460.1760010.499122 1.728957 2.0777310.182520 1.85 1.56140.1611950.2715330.593648 1.497439 1.4951940.241018 2.25 1.73740.0864820.1740450.496894 1.734740 2.0964350.181303 1.86 1.56640.1587340.2685660.591045 1.503494 1.5068940.239196 2.26 1.74120.0851390.1721100.494677 1.740515 2.1153490.180098 1.87 1.57140.1563090.2656280.588450 1.509544 1.5187500.237394 2.27 1.74500.0838170.1701960.492470 1.746282 2.1344730.178904 1.88 1.57630.1539180.2627200.585864 1.515590 1.5307610.235612 2.28 1.74880.0825150.1683040.490273 1.752039 2.1538110.177722 1.89 1.58120.1515620.2598410.583288 1.521630 1.5429300.233849 2.29 1.75260.0812340.1664330.488086 1.757788 2.1733630.176551 1.90 1.58610.1492400.2569910.580720 1.527666 1.5552570.232106 2.30 1.75630.0799730.1645840.485909 1.763527 2.1931310.175390 1.91 1.59090.1469510.2541690.578162 1.533697 1.5677430.230382 2.31 1.76000.0787310.1627550.483741 1.769258 2.2131170.174241 1.92 1.59570.1446960.2513770.575613 1.539722 1.5803910.228676 2.32 1.76370.0775090.1609460.481584 1.774980 2.2333230.173103 1.93 1.60050.1424730.2486130.573073 1.545741 1.5932000.226988 2.33 1.76730.0763060.1591580.479437 1.780692 2.2537510.171975 1.94 1.60520.1402830.2458770.570542 1.551755 1.6061720.225319 2.34 1.77090.0751220.1573900.477300 1.786396 2.2744010.170858 1.95 1.60990.1381260.2431700.568020 1.557764 1.6193090.223668 2.35 1.77450.0739570.1556420.475172 1.792090 2.2952770.169752 1.96 1.61460.1359990.2404910.565509 1.563766 1.6326110.222034 2.36 1.77810.0728100.1539140.473055 1.797775 2.3163810.168655 1.97 1.61920.1339050.2378390.563006 1.569762 1.6460800.220418 2.37 1.78170.0716810.1522060.470947 1.803451 2.3377120.167569 1.98 1.62390.1318410.2352150.560513 1.575752 1.6597170.218818 2.38 1.78520.0705700.1505160.468850 1.809118 2.3592750.166493

1.99 1.62840.1298080.2326180.558030 1.581736 1.6735230.217236

2.39 1.78870.0694760.1488460.466762 1.814776 2.3810700.165427

2.00 1.63300.1278050.2300480.555556 1.587713 1.6875000.215670 2.40 1.79220.0683990.1471950.464684 1.820424 2.4031000.164371

M M*p/p0ρ/ρ0T/T0F/F*A/A*p/p0 A/A*M M*p/p0ρ/ρ0T/T0F/F*A/A*p/p0 A/A* 2.41 1.79560.0673400.1455630.462616 1.826063 2.4253660.163324 2.81 1.91670.0362900.0936010.387714 2.043773 3.5335810.128235 2.42 1.79910.0662970.1439500.460558 1.831692 2.4478700.162287 2.82 1.91930.0357410.0925870.386029 2.049018 3.5673680.127502 2.43 1.80250.0652710.1423540.458510 1.837312 2.4706150.161259 2.83 1.92190.0352010.0915850.384352 2.054253 3.6014840.126775 2.44 1.80590.0642610.1407770.456471 1.842923 2.4936020.160241 2.84 1.92460.0346690.0905940.382684 2.059479 3.6359340.126055 2.45 1.80920.0632670.1392180.454442 1.848524 2.5168320.159232 2.85 1.92710.0341460.0896160.381025 2.064696 3.6707190.125340 2.46 1.81260.0622880.1376770.452423 1.854116 2.5403090.158232 2.86 1.92970.0336310.0886480.379374 2.069902 3.7058420.124630 2.47 1.81590.0613260.1361540.450414 1.859699 2.5640350.157241 2.87 1.93230.0331240.0876920.377732 2.075099 3.7413060.123927 2.48 1.81920.0603780.1346480.448414 1.865271 2.5880100.156259 2.88 1.93480.0326250.0867470.376098 2.080287 3.7771130.123229 2.49 1.82250.0594450.1331590.446425 1.870835 2.6122370.155286 2.89 1.93730.0321350.0858130.374473 2.085465 3.8132660.122537 2.50 1.82570.0585280.1316870.444444 1.876388 2.6367190.154321 2.90 1.93980.0316520.0848890.372856 2.090634 3.8497680.121851 2.51 1.82900.0576240.1302330.442474 1.881933 2.6614570.153365 2.91 1.94230.0311760.0839770.371248 2.095793 3.8866220.121170 2.52 1.83220.0567360.1287940.440513 1.887467 2.6864530.152418 2.92 1.94480.0307080.0830750.369648 2.100942 3.9238290.120495 2.53 1.83540.0558610.1273730.438562 1.892992 2.7117090.151479 2.93 1.94720.0302480.0821830.368056 2.106082 3.9613930.119824 2.54 1.83860.0550000.1259680.436620 1.898508 2.7372280.150548 2.94 1.94970.0297950.0813020.366472 2.111213 3.9993170.119160 2.55 1.84170.0541530.1245790.434688 1.904013 2.7630120.149625 2.95 1.95210.0293490.0804310.364897 2.116334 4.0376030.118500 2.56 1.84480.0533190.1232060.432766 1.909510 2.7890630.148711 2.96 1.95450.0289100.0795710.363330 2.121446 4.0762550.117846 2.57 1.84790.0524990.1218490.430853 1.914996 2.8153820.147804 2.97 1.95690.0284790.0787200.361771 2.126548 4.1152740.117197 2.58 1.85100.0516920.1205080.428949 1.920473 2.8419720.146906 2.98 1.95930.0280540.0778790.360220 2.131641 4.1546640.116553 2.59 1.85410.0508970.1191820.427055 1.925940 2.8688360.146015 2.99 1.96160.0276350.0770480.358678 2.136724 4.1944280.115914 2.60 1.85710.0501150.1178710.425170 1.931398 2.8959750.145132 3.00 1.96400.0272240.0762260.357143 2.141799 4.2345680.115281 2.61 1.86020.0493460.1165760.423295 1.936846 2.9233920.144257 3.02 1.96860.0264200.0746120.354098 2.151919 4.3159890.114028 2.62 1.86320.0485890.1152950.421429 1.942284 2.9510890.143389 3.04 1.97320.0256410.0730350.351084 2.162002 4.3989500.112795 2.63 1.86620.0478440.1140290.419572 1.947713 2.9790680.142529 3.06 1.97770.0248870.0714940.348102 2.172048 4.4834750.111581 2.64 1.86910.0471100.1127780.417725 1.953132 3.0073310.141676 3.08 1.98220.0241560.0699880.345151 2.182058 4.5695870.110385 2.65 1.87210.0463890.1115420.415887 1.958541 3.0358810.140831 3.10 1.98660.0234490.0685170.342231 2.192030 4.6573110.109208 2.66 1.87500.0456790.1103200.414058 1.963941 3.0647200.139993 3.12 1.99100.0227630.0670800.339342 2.201966 4.7466700.108049 2.67 1.87790.0449800.1091120.412239 1.969330 3.0938500.139162 3.14 1.99530.0220990.0656760.336483 2.211865 4.8376890.106908 2.68 1.88080.0442920.1079180.410428 1.974711 3.1232740.138338 3.16 1.99950.0214550.0643040.333654 2.221728 4.9303930.105783 2.69 1.88370.0436160.1067380.408627 1.980081 3.1529930.137521 3.18 2.00370.0208320.0629640.330854 2.231555 5.0248080.104676 2.70 1.88650.0429500.1055710.406835 1.985442 3.1830110.136710 3.20 2.00790.0202280.0616540.328084 2.241347 5.1209580.103586 2.71 1.88940.0422950.1044180.405052 1.990793 3.2133290.135907 3.22 2.01200.0196420.0603740.325343 2.251102 5.2188680.102511 2.72 1.89220.0416500.1032790.403278 1.996134 3.2439510.135111 3.24 2.01600.0190750.0591240.322631 2.260822 5.3185660.101453 2.73 1.89500.0410160.1021520.401513 2.001466 3.2748780.134321 3.26 2.02000.0185260.0579020.319947 2.270506 5.4200780.100410 2.74 1.89780.0403910.1010390.399757 2.006788 3.3061130.133538 3.28 2.02390.0179930.0567080.317291 2.280156 5.5234290.099383 2.75 1.90050.0397770.0999390.398010 2.012101 3.3376580.132761 3.30 2.02780.0174770.0555410.314663 2.289770 5.6286470.098371 2.76 1.90330.0391720.0988510.396272 2.017404 3.3695150.131991 3.32 2.03170.0169770.0544010.312063 2.299350 5.7357590.097373 2.77 1.90600.0385770.0977770.394543 2.022697 3.4016880.131227 3.34 2.03550.0164920.0532870.309490 2.308895 5.8447920.096390 2.78 1.90870.0379920.0967140.392822 2.027980 3.4341790.130470 3.36 2.03920.0160220.0521970.306944 2.318406 5.9557740.095422 2.79 1.91140.0374150.0956640.391111 2.033254 3.4669890.129719 3.38 2.04290.0155660.0511330.304425 2.327882 6.0687340.094467 2.80 1.91400.0368480.0946260.389408 2.038518 3.5001230.128974 3.40 2.04660.0151250.0500930.301932 2.337325 6.1836990.093526

M M*p/p0ρ/ρ0T/T0F/F*A/A*p/p0 A/A*M M*p/p0ρ/ρ0T/T0F/F*A/A*p/p0 A/A* 3.42 2.05020.0146970.0490760.299466 2.346733 6.3006980.092598 4.22 2.16440.0049320.0225000.219218 2.69769413.0172200.064207 3.44 2.05370.0142820.0480820.297025 2.356108 6.4197600.091684 4.24 2.16670.0048060.0220880.217603 2.70589113.2462900.063668 3.46 2.05730.0138790.0471110.294610 2.365450 6.5409150.090783 4.26 2.16890.0046840.0216850.216005 2.71406213.4789000.063136 3.48 2.06070.0134890.0461610.292220 2.374758 6.6641920.089894 4.28 2.17110.0045650.0212900.214423 2.72220813.7150900.062611 3.50 2.06420.0131110.0452330.289855 2.384034 6.7896210.089018 4.30 2.17320.0044490.0209030.212857 2.73032813.9549000.062091 3.52 2.06760.0127440.0443250.287515 2.393277 6.9172310.088154 4.32 2.17540.0043370.0205250.211306 2.73842414.1983800.061578 3.54 2.07090.0123890.0434380.285199 2.4024877.0470550.087303 4.34 2.17750.0042280.0201540.209770 2.74649414.4455700.061071 3.56 2.07430.0120440.0425710.282908 2.4116657.1791220.086463 4.36 2.17960.0041210.0197910.208250 2.75454114.6965200.060571 3.58 2.07750.0117090.0417230.280640 2.4208107.3134630.085634 4.38 2.18160.0040180.0194350.206745 2.76256214.9512700.060076 3.60 2.08080.0113850.0408940.278396 2.4299247.4501110.084818 4.40 2.18370.0039180.0190870.205255 2.77056015.2098700.059587 3.62 2.08400.0110700.0400830.276176 2.4390067.5890970.084012 4.42 2.18570.0038200.0187460.203779 2.77853315.4723600.059104 3.64 2.08710.0107650.0392910.273979 2.4480567.7304520.083217 4.44 2.18770.0037250.0184110.202318 2.78648315.7387900.058626 3.66 2.09030.0104690.0385160.271804 2.4570757.8742110.082433 4.46 2.18970.0036330.0180840.200871 2.79440816.0092100.058154 3.68 2.09330.0101820.0377580.269652 2.4660638.0204040.081660 4.48 2.19170.0035430.0177630.199438 2.80231016.2836600.057688 3.70 2.09640.0099030.0370170.267523 2.4750208.1690660.080897 4.50 2.19360.0034550.0174490.198020 2.81018916.5621900.057227 3.72 2.09940.0096330.0362920.265415 2.4839468.3202300.080145 4.52 2.19550.0033700.0171410.196615 2.81804416.8448600.056771 3.74 2.10240.0093700.0355840.263330 2.4928418.4739300.079403 4.54 2.19740.0032880.0168400.195224 2.82587717.1317000.056321 3.76 2.10530.0091160.0348900.261266 2.5017078.6301990.078670 4.56 2.19930.0032070.0165440.193847 2.83368617.4227700.055875 3.78 2.10820.0088690.0342120.259223 2.5105428.7890730.077947 4.58 2.20120.0031290.0162550.192482 2.84147317.7181200.055435 3.80 2.11110.0086290.0335490.257202 2.5193478.9505850.077234 4.60 2.20300.0030530.0159710.191132 2.84923718.0177900.055000 3.82 2.11400.0083960.0329010.255201 2.5281229.1147720.076530 4.62 2.20480.0029780.0156930.189794 2.85697818.3218500.054570 3.84 2.11680.0081710.0322660.253221 2.5368689.2816680.075836 4.64 2.20660.0029060.0154200.188469 2.86469718.6303200.054145 3.86 2.11950.0079510.0316460.251261 2.5455859.4513090.075150 4.66 2.20840.0028360.0151530.187157 2.87239418.9432800.053725 3.88 2.12230.0077390.0310390.249322 2.5542729.6237320.074474 4.68 2.21020.0027680.0148920.185857 2.88006919.2607600.053309 3.90 2.12500.0075320.0304450.247402 2.5629319.7989730.073806 4.70 2.21190.0027010.0146350.184570 2.88772319.5828300.052898 3.92 2.12770.0073320.0298630.245502 2.5715619.9770690.073147 4.72 2.21360.0026370.0143840.183295 2.89535419.9095300.052492 3.94 2.13030.0071370.0292950.243622 2.58016210.1580600.072497 4.74 2.21540.0025730.0141380.182033 2.90296420.2409100.052090 3.96 2.13290.0069480.0287390.241761 2.58873510.3419700.071855 4.76 2.21700.0025120.0138960.180782 2.91055320.5770300.051692

3.98 2.13550.0067640.0281940.239919 2.59728010.5288600.071221

4.78 2.21870.0024520.0136590.179544 2.91812020.9179500.051300

4.00 2.13810.0065860.0276620.238095 2.60579710.7187500.070595 4.80 2.22040.0023940.0134270.178317 2.92566621.2637100.050911 4.02 2.14060.0064130.0271400.236290 2.61428610.9116800.069977 4.82 2.22200.0023380.0131990.177102 2.93319121.6143700.050527 4.04 2.14310.0062450.0266300.234504 2.62274811.1077000.069367 4.84 2.22360.0022830.0129760.175898 2.94069621.9699900.050147 4.06 2.14560.0060820.0261310.232736 2.63118211.3068400.068764 4.86 2.22530.0022290.0127580.174705 2.94818022.3306100.049771 4.08 2.14800.0059230.0256430.230985 2.63958911.5091500.068169 4.88 2.22680.0021770.0125430.173524 2.95564322.6963100.049399 4.10 2.15050.0057690.0251640.229253 2.64797011.7146500.067582 4.90 2.22840.0021260.0123330.172354 2.96308623.0671200.049031 4.12 2.15290.0056190.0246960.227538 2.65632311.9234000.067002 4.92 2.23000.0020760.0121260.171195 2.97050923.4431100.048667 4.14 2.15520.0054740.0242380.225840 2.66465012.1354300.066429 4.94 2.23150.0020280.0119240.170047 2.97791123.8243400.048307 4.16 2.15760.0053330.0237900.224159 2.67295012.3507900.065863 4.96 2.23310.0019810.0117260.168910 2.98529424.2108600.047951 4.18 2.15990.0051950.0233510.222495 2.68122412.5695100.065304 4.98 2.23460.0019350.0115310.167783 2.99265724.6027200.047599 4.20 2.16220.0050620.0229210.220848 2.68947212.7916400.064752

5.00 2.23610.0018900.0113400.166667 3.00000025.0000000.047251

M M*p/p0ρ/ρ0T/T0F/F*A/A*p/p0 A/A*M M*p/p0ρ/ρ0T/T0F/F*A/A*p/p0 A/A* 5.10 2.2433 1.6832E-03 1.0439E-020.161238 3.03642527.0695700.0455649.50 2.3843 3.3141E-05 6.3134E-04 5.2493E-02 4.320848 4.2113E+020.013957 5.20 2.2503 1.5013E-039.6204E-030.156055 3.07237729.2833300.04396310.00 2.3905 2.3563E-05 4.9483E-04 4.7619E-02 4.441083 5.3594E+020.012628 5.30 2.2569 1.3411E-038.8753E-030.151103 3.10787331.6490500.04244410.50 2.3958 1.7008E-05 3.9203E-04 4.3384E-02 4.557855 6.7496E+020.011480 5.40 2.2631 1.1997E-038.1965E-030.146370 3.14292634.1748100.04100011.00 2.4004 1.2448E-05 3.1369E-04 3.9683E-02 4.6714578.4191E+020.010480 5.50 2.2691 1.0748E-037.5775E-030.141844 3.17755136.8689600.03962811.50 2.40459.2279E-06 2.5331E-04 3.6430E-02 4.782140 1.0408E+030.009605 5.60 2.27489.6430E-047.0124E-030.137514 3.21176339.7401800.03832112.00 2.4080 6.9222E-06 2.0628E-04 3.3557E-02 4.890126 1.2762E+030.008834 5.70 2.28038.6635E-04 6.4959E-030.133369 3.24557342.7974300.03707712.50 2.4112 5.2498E-06 1.6931E-04 3.1008E-02 4.995609 1.5529E+030.008152 5.80 2.28557.7941E-04 6.0233E-030.129400 3.27899546.0500000.03589213.00 2.4140 4.0223E-06 1.3998E-04 2.8736E-02 5.098759 1.8761E+030.007546

5.90 2.29057.0214E-04 5.5904E-030.125597 3.31204149.5074700.03476114.00 2.4188 2.4278E-069.7597E-05 2.4876E-02 5.298663 2.6854E+030.006520

6.00 2.2953 6.3336E-04 5.1936E-030.121951 3.34472153.1797800.03368215.00 2.4227 1.5148E-06 6.9680E-05 2.1739E-02 5.490880 3.7552E+030.005688 6.10 2.2998 5.7206E-04 4.8293E-030.118455 3.3770485

7.0771800.03265216.00 2.42599.7309E-07 5.0795E-05 1.9157E-02 5.676259 5.1446E+030.005006 6.20 2.3042 5.1735E-04 4.4947E-030.115101 3.40903161.2102300.03166717.00 2.4286 6.4147E-07 3.7719E-05 1.7007E-02 5.855503 6.9205E+030.004439 6.30 2.3084 4.6845E-04 4.1870E-030.111882 3.44068165.5898700.0307251

8.00 2.4308 4.3272E-07 2.8473E-05 1.5198E-02 6.029199

9.1593E+030.003963 6.40 2.3124 4.2468E-04 3.9037E-030.108790 3.47200770.2273600.02982419.00 2.4327 2.9800E-07 2.1813E-05 1.3661E-02 6.197845 1.1946E+040.003560 6.50 2.3163 3.8547E-04 3.6427E-030.105820 3.50301875.1343100.02896220.00 2.4343 2.0908E-07 1.6935E-05 1.2346E-02 6.361869 1.5377E+040.003215 6.60 2.3200 3.5028E-04 3.4020E-030.102965 3.53372480.3227100.02813622.00 2.4369 1.0810E-07 1.0572E-05 1.0225E-02 6.677478 2.4607E+040.002660 6.70 2.3235 3.1867E-04 3.1797E-030.100221 3.56413385.8048700.02734424.00 2.4389 5.9126E-08 6.8704E-068.6059E-03 6.978458 3.7832E+040.002237 6.80 2.3269 2.9024E-04 2.9744E-030.097580 3.59425391.5935100.02658425.00 2.4398 4.4535E-08 5.6114E-067.9365E-037.124071 4.6305E+040.002062

6.90 2.3302 2.6464E-04 2.7845E-030.095039 3.6240929

7.7016900.02585626.00 2.4405 3.3914E-08 4.6191E-067.3421E-037.266705 5.6236E+040.001907

7.00 2.3333 2.4156E-04 2.6088E-030.092593 3.653657104.1429000.02515628.00 2.4417 2.0259E-08 3.1969E-06 6.3371E-037.5437368.1212E+040.001645 7.10 2.3364 2.2072E-04 2.4460E-030.090236 3.682955110.9309000.02448430.00 2.4427 1.2535E-08 2.2688E-06 5.5249E-037.810783 1.1439E+050.001434 7.20 2.3393 2.0189E-04 2.2950E-030.087966 3.711994118.0799000.02383932.00 2.44357.9973E-09 1.6458E-06 4.8591E-038.068867 1.5763E+050.001261 7.30 2.3421 1.8485E-04 2.1550E-030.085778 3.740780125.6046000.02321834.00 2.4442 5.2418E-09 1.2172E-06 4.3066E-038.318843 2.1309E+050.001117 7.40 2.3448 1.6942E-04 2.0249E-030.083668 3.769320133.5200000.02262136.00 2.4448 3.5190E-099.1565E-07 3.8432E-038.561440 2.8319E+050.000997 7.50 2.3474 1.5543E-04 1.9040E-030.081633 3.797619141.8415000.02204638.00 2.4453 2.4135E-09 6.9945E-07 3.4507E-038.797280 3.7065E+050.000895 7.60 2.3499 1.4273E-04 1.7915E-030.079669 3.825684150.5849000.02149240.00 2.4457 1.6875E-09 5.4167E-07 3.1153E-039.026902 4.7853E+050.000808 7.70 2.3523 1.3119E-04 1.6868E-030.077773 3.853520159.7665000.02095942.00 2.4460 1.2005E-09 4.2472E-07 2.8265E-039.250778 6.1021E+050.000733 7.80 2.3546 1.2069E-04 1.5893E-030.075942 3.881133169.4030000.02044644.00 2.44638.6757E-10 3.3679E-07 2.5760E-039.4693227.6943E+050.000668

7.90 2.3569 1.1114E-04 1.4984E-030.074173 3.908528179.5114000.01995046.00 2.4466 6.3607E-10 2.6982E-07 2.3574E-039.6828999.6031E+050.000611

8.00 2.3591 1.0243E-04 1.4135E-030.072464 3.935710190.1094000.01947348.00 2.4468 4.7251E-10 2.1821E-07 2.1654E-039.891836 1.1873E+060.000561 8.10 2.36129.4485E-05 1.3343E-030.070812 3.962683201.2148000.01901250.00 2.4470 3.5528E-10 1.7799E-07 1.9960E-0310.096430 1.4555E+060.000517 8.20 2.36328.7231E-05 1.2603E-030.069214 3.989454212.8461000.018567

8.30 2.36528.0602E-05 1.1911E-030.067668 4.016026225.0221000.018137

8.40 2.36717.4537E-05 1.1264E-030.066173 4.042404237.7622000.017722

8.50 2.3689 6.8984E-05 1.0658E-030.064725 4.068591251.0862000.017321

8.60 2.3707 6.3895E-05 1.0090E-030.063323 4.094593265.0142000.016933

8.70 2.3724 5.9228E-059.5582E-040.061966 4.120412279.5672000.016558

8.80 2.3740 5.4943E-059.0590E-040.060650 4.146053294.7661000.016195

8.90 2.3757 5.1006E-058.5904E-040.059375 4.171520310.6328000.015844

9.00 2.3772 4.7386E-058.1504E-040.058140 4.196816327.1893000.015504

M1M2p2/p1ρ2/ρ1T2/T1p02/p01p02/p1M1M2p2/p1ρ2/ρ1T2/T1p02/p01p02/p1M1M2p2/p1ρ2/ρ1T2/T1p02/p01p02/p1 1.00 1.000000 1.000000 1.000000 1.000000 1.000000 1.892929 1.410.735536 2.152783 1.706988 1.2611590.955665 3.084376 1.820.612091 3.697800 2.390934 1.5465920.803763 4.761848 1.010.990132 1.023450 1.016694 1.0066450.999999 1.915214 1.420.731436 2.185800 1.724303 1.2676430.953063 3.119800 1.830.609931 3.740383 2.406712 1.5541460.799272 4.808412 1.020.980520 1.047133 1.033441 1.0132490.999990 1.937897 1.430.727408 2.219050 1.741600 1.2741440.950390 3.155505 1.840.607802 3.783200 2.422438 1.5617320.794761 4.855242 1.030.971154 1.071050 1.050240 1.0198140.999967 1.960968 1.440.723451 2.252533 1.758878 1.2806650.947648 3.191492 1.850.605701 3.826250 2.438112 1.5693490.790232 4.902336 1.040.962026 1.095200 1.067088 1.0263450.999923 1.984423 1.450.719562 2.286250 1.776135 1.2872050.944837 3.227759 1.860.603629 3.869533 2.453733 1.5769990.785686 4.949696 1.050.953125 1.119583 1.083982 1.0328430.999853 2.008253 1.460.715740 2.320200 1.793370 1.2937650.941958 3.264305 1.870.601585 3.913050 2.469301 1.5846800.781125 4.997319 1.060.944445 1.144200 1.100921 1.0393120.999751 2.032453 1.470.711983 2.354383 1.810582 1.3003460.939012 3.301131 1.880.599569 3.956800 2.484814 1.5923930.776549 5.045208 1.070.935977 1.169050 1.117903 1.0457530.999612 2.057018 1.480.708290 2.388800 1.827770 1.3069480.936001 3.338235 1.890.597579 4.000783 2.500274 1.6001380.771959 5.093360 1.080.927713 1.194133 1.134925 1.0521700.999431 2.081942 1.490.704659 2.423450 1.844933 1.3135710.932925 3.375616 1.900.595617 4.045000 2.515679 1.6079160.767357 5.141777 1.090.919647 1.219450 1.151985 1.0585640.999204 2.107220 1.500.701089 2.458333 1.862069 1.3202160.929787 3.413275 1.910.593680 4.089450 2.531030 1.6157260.762743 5.190458 1.100.911770 1.245000 1.169082 1.0649380.998928 2.132847 1.510.697578 2.493450 1.879177 1.3268840.926586 3.451210 1.920.591769 4.134133 2.546325 1.6235680.758119 5.239403 1.110.904078 1.270783 1.186213 1.0712940.998599 2.158820 1.520.694125 2.528800 1.896257 1.3335740.923324 3.489420 1.930.589883 4.179050 2.561565 1.6314440.753486 5.288611 1.120.896563 1.296800 1.203377 1.0776340.998213 2.185134 1.530.690729 2.564383 1.913308 1.3402880.920003 3.527906 1.940.588022 4.224200 2.576749 1.6393520.748844 5.338083 1.130.889219 1.323050 1.220571 1.0839600.997768 2.211785 1.540.687388 2.600200 1.930327 1.3470260.916624 3.566667 1.950.586185 4.269583 2.591877 1.6472940.744195 5.387818 1.140.882042 1.349533 1.237793 1.0902740.997261 2.238769 1.550.684101 2.636250 1.947315 1.3537870.913188 3.605701 1.960.584372 4.315200 2.606949 1.6552680.739540 5.437816 1.150.875024 1.376250 1.255042 1.0965770.996690 2.266084 1.560.680867 2.672533 1.964270 1.3605730.909697 3.645010 1.970.582582 4.361050 2.621964 1.6632760.734879 5.488078 1.160.868162 1.403200 1.272315 1.1028720.996052 2.293725 1.570.677685 2.709050 1.981192 1.3673840.906151 3.684592 1.980.580816 4.407133 2.636922 1.6713170.730214 5.538603 1.170.861451 1.430383 1.289610 1.1091590.995345 2.321690 1.580.674553 2.745800 1.998079 1.3742200.902552 3.724446 1.990.579072 4.453450 2.651823 1.6793920.725545 5.589390 1.180.854884 1.457800 1.306927 1.1154410.994569 2.349977 1.590.671471 2.782783 2.014931 1.3810810.898901 3.764573 2.000.577350 4.500000 2.666667 1.6875000.720874 5.640441 1.190.848459 1.485450 1.324262 1.1217190.993720 2.378581 1.600.668437 2.820000 2.031746 1.3879690.895200 3.804972 2.010.575651 4.546783 2.681453 1.6956420.716201 5.691754 1.200.842171 1.513333 1.341615 1.1279940.992798 2.407502 1.610.665451 2.857450 2.048524 1.3948820.891450 3.845642 2.020.573972 4.593800 2.696181 1.7038170.711527 5.743330 1.210.836014 1.541450 1.358983 1.1342680.991802 2.436735 1.620.662511 2.895133 2.065264 1.4018220.887653 3.886584 2.030.572315 4.641050 2.710851 1.7120270.706853 5.795168 1.220.829987 1.569800 1.376364 1.1405410.990731 2.466280 1.630.659616 2.933050 2.081965 1.4087890.883809 3.927796 2.040.570679 4.688533 2.725463 1.7202710.702180 5.847268 1.230.824083 1.598383 1.393757 1.1468160.989583 2.496133 1.640.656766 2.971200 2.098627 1.4157830.879921 3.969279 2.050.569063 4.736250 2.740016 1.7285480.697508 5.899631 1.240.818301 1.627200 1.411160 1.1530940.988359 2.526294 1.650.653958 3.009583 2.115248 1.4228040.875988 4.011031 2.060.567467 4.784200 2.754511 1.7368600.692839 5.952256 1.250.812636 1.656250 1.428571 1.1593750.987057 2.556759 1.660.651194 3.048200 2.131827 1.4298530.872014 4.053053 2.070.565890 4.832383 2.768947 1.7452060.688174 6.005143 1.260.807085 1.685533 1.445989 1.1656610.985677 2.587527 1.670.648471 3.087050 2.148365 1.4369300.867999 4.095345 2.080.564334 4.880800 2.783325 1.7535860.683512 6.058292 1.270.801645 1.715050 1.463412 1.1719530.984219 2.618596 1.680.645789 3.126133 2.164860 1.4440350.863944 4.137906 2.090.562796 4.929450 2.797643 1.7620010.678855 6.111702 1.280.796312 1.744800 1.480839 1.1782510.982682 2.649964 1.690.643147 3.165450 2.181311 1.4511680.859851 4.180735 2.100.561277 4.978333 2.811902 1.7704500.674203 6.165375 1.290.791084 1.774783 1.498267 1.1845580.981067 2.681631 1.700.640544 3.205000 2.197719 1.4583300.855721 4.223833 2.110.559777 5.027450 2.826102 1.7789340.669558 6.219309 1.300.785957 1.805000 1.515695 1.1908730.979374 2.713594 1.710.637979 3.244783 2.214081 1.4655210.851556 4.267199 2.120.558294 5.076800 2.840243 1.7874530.664919 6.273505 1.310.780929 1.835450 1.533122 1.1971980.977602 2.745851 1.720.635452 3.284800 2.230398 1.4727420.847356 4.310833 2.130.556830 5.126383 2.854324 1.7960060.660288 6.327962 1.320.775998 1.866133 1.550546 1.2035330.975752 2.778403 1.730.632962 3.325050 2.246669 1.4799910.843124 4.354734 2.140.555383 5.176200 2.868345 1.8045940.655666 6.382681 1.330.771159 1.897050 1.567965 1.2098800.973824 2.811246 1.740.630508 3.365533 2.262893 1.4872700.838860 4.398903 2.150.553953 5.226250 2.882307 1.8132180.651052 6.437661 1.340.766412 1.928200 1.585379 1.2162390.971819 2.844381 1.750.628089 3.406250 2.279070 1.4945790.834565 4.443339 2.160.552541 5.276533 2.896209 1.8218760.646447 6.492903 1.350.761753 1.959583 1.602785 1.2226120.969737 2.877805 1.760.625705 3.447200 2.295199 1.5019180.830242 4.488041 2.170.551145 5.327050 2.910052 1.8305690.641853 6.548406 1.360.757181 1.991200 1.620182 1.2289980.967579 2.911518 1.770.623354 3.488383 2.311279 1.5092870.825891 4.533010 2.180.549766 5.377800 2.923834 1.8392970.637269 6.604169 1.370.752692 2.023050 1.637569 1.2353980.965345 2.945519 1.780.621038 3.529800 2.327310 1.5166870.821513 4.578246 2.190.548403 5.428783 2.937557 1.8480610.632697 6.660194 1.380.748286 2.055133 1.654945 1.2418140.963035 2.979806 1.790.618753 3.571450 2.343292 1.5241170.817111 4.623748 2.200.547056 5.480000 2.951220 1.8568600.628136 6.716480 1.390.743959 2.087450 1.672307 1.2482460.960652 3.014378 1.800.616501 3.613333 2.359223 1.5315780.812684 4.669516 2.210.545725 5.531450 2.964822 1.8656940.623588 6.773027 1.400.739709 2.120000 1.689655 1.2546940.958194 3.049235 1.810.614281 3.655450 2.375104 1.5390690.808234 4.715549 2.220.544409 5.583133 2.978365 1.8745630.619053 6.829835

M1M2p2/p1ρ2/ρ1T2/T1p02/p01p02/p1M1M2p2/p1ρ2/ρ1T2/T1p02/p01p02/p1M1M2p2/p1ρ2/ρ1T2/T1p02/p01p02/p1 2.230.543108 5.635050 2.991848 1.8834680.614531 6.886903 2.640.5004777.964533 3.493651 2.2797170.4452239.450636 3.050.47230010.686250 3.902465 2.7383340.31450212.450020 2.240.541822 5.687200 3.005271 1.8924090.610023 6.944232 2.650.4996508.026250 3.504679 2.2901530.4415579.518615 3.060.47173710.757530 3.911387 2.7503120.31180012.528600 2.250.540552 5.739583 3.018634 1.9013850.6055307.001822 2.660.4988308.088200 3.515651 2.3006260.4379169.586854 3.070.47117910.829050 3.920263 2.7623280.30912012.607450 2.260.539295 5.792200 3.031936 1.9103960.6010517.059673 2.670.4980198.150383 3.526569 2.3111370.4342989.655352 3.080.47062610.900800 3.929092 2.7743810.30646212.686550 2.270.538053 5.845050 3.045179 1.9194440.5965887.117784 2.680.4972168.212800 3.537431 2.3216850.4307059.724109 3.090.47007710.972780 3.937875 2.7864730.30382612.765910 2.280.536826 5.898133 3.058362 1.9285270.5921407.176155 2.690.4964218.275450 3.548238 2.3322700.4271369.793124 3.100.46953411.045000 3.946612 2.7986030.30121112.845530 2.290.535612 5.951450 3.071485 1.9376460.5877097.234787 2.700.4956348.338333 3.558991 2.3428920.4235909.862399 3.110.46899511.117450 3.955303 2.8107710.29861812.925400 2.300.534411 6.005000 3.084548 1.9468010.5832957.293680 2.710.4948548.401450 3.569689 2.3535520.4200699.931933 3.120.46846111.190130 3.963948 2.8229770.29604613.005540 2.310.533224 6.058783 3.097551 1.9559910.5788977.352832 2.720.4940828.464800 3.580333 2.3642490.41657210.001730 3.130.46793111.263050 3.972548 2.8352200.29349613.085930 2.320.532051 6.112800 3.110495 1.9652180.5745177.412245 2.730.4933178.528383 3.590923 2.3749840.41309910.071780 3.140.46740611.336200 3.981103 2.8475020.29096713.166590 2.330.530890 6.167050 3.123378 1.9744810.5701547.471919 2.740.4925608.592200 3.601458 2.3857560.40965010.142090 3.150.46688511.409580 3.989613 2.8598220.28845813.247500 2.340.529743 6.221533 3.136202 1.9837790.5658107.531852 2.750.4918108.656250 3.611940 2.3965650.40622610.212660 3.160.46636911.483200 3.998078 2.8721800.28597113.328660 2.350.528608 6.276250 3.148967 1.9931140.5614847.592046 2.760.4910688.720533 3.622369 2.4074120.40282510.283490 3.170.46585811.557050 4.006499 2.8845760.28350513.410090 2.360.527486 6.331200 3.161671 2.0024850.5571777.652499 2.770.4903328.785050 3.632744 2.4182960.39944910.354570 3.180.46535011.631130 4.014875 2.8970100.28105913.491780 2.370.526376 6.386383 3.174316 2.0118920.5528897.713213 2.780.4896048.849800 3.643066 2.4292180.39609710.425920 3.190.46484711.705450 4.023208 2.9094820.27863313.573720 2.380.525278 6.441800 3.186902 2.0213360.5486217.774187 2.790.4888828.914783 3.653335 2.4401770.39276810.497520 3.200.46434911.780000 4.031496 2.9219920.27622913.655920 2.390.524192 6.497450 3.199429 2.0308160.5443737.835420 2.800.4881678.980000 3.663551 2.4511730.38946410.569390 3.210.46385411.854780 4.039741 2.9345400.27384413.738380 2.400.523118 6.553333 3.211896 2.0403320.5401447.896914 2.810.4874599.045450 3.673715 2.4622080.38618410.641510 3.220.46336411.929800 4.047943 2.9471270.27148013.821100 2.410.522055 6.609450 3.224304 2.0498840.5359367.958667 2.820.4867589.111133 3.683827 2.4732790.38292710.713890 3.230.46287812.005050 4.056101 2.9597510.26913513.904070 2.420.521004 6.665800 3.236653 2.0594730.5317488.020681 2.830.4860649.177050 3.693886 2.4843890.37969510.786530 3.240.46239512.080530 4.064216 2.9724140.26681113.987310 2.430.519964 6.722383 3.248943 2.0690980.5275818.082954 2.840.4853769.243200 3.703894 2.4955360.37648610.859430 3.250.46191712.156250 4.072289 2.9851150.26450614.070800 2.440.518936 6.779200 3.261174 2.0787600.5234358.145487 2.850.4846949.309583 3.713850 2.5067200.37330210.932580 3.260.46144312.232200 4.080319 2.9978540.26222114.154550 2.450.517918 6.836250 3.273347 2.0884590.5193118.208279 2.860.4840199.376200 3.723755 2.5179420.37014111.006000 3.270.46097312.308380 4.088307 3.0106310.25995614.238560 2.460.516911 6.893533 3.285461 2.0981940.5152088.271331 2.870.4833509.443050 3.733608 2.5292020.36700311.079670 3.280.46050712.384800 4.096253 3.0234460.25771014.322830 2.470.515915 6.951050 3.297516 2.1079650.5111268.334643 2.880.4826879.510133 3.743411 2.5405000.36389011.153610 3.290.46004412.461450 4.104158 3.0362990.25548314.407350 2.480.5149307.008800 3.309514 2.1177730.5070678.398214 2.890.4820309.577450 3.753162 2.5518350.36080011.227800 3.300.45958612.538330 4.112020 3.0491910.25327614.492140 2.490.5139547.066783 3.321452 2.1276180.5030308.462045 2.900.4813809.645000 3.762864 2.5632070.35773311.302250 3.310.45913112.615450 4.119841 3.0621200.25108714.577180 2.500.5129897.125000 3.333333 2.1375000.4990158.526136 2.910.4807359.712783 3.772514 2.5746180.35469011.376950 3.320.45868012.692800 4.127621 3.0750880.24891814.662480 2.510.5120347.183450 3.345156 2.1474180.4950228.590486 2.920.4800969.780800 3.782115 2.5860660.35167011.451920 3.330.45823212.770380 4.135360 3.0880940.24676714.748040 2.520.5110897.242133 3.356921 2.1573740.4910528.655095 2.930.4794639.849050 3.791666 2.5975520.34867411.527150 3.340.45778812.848200 4.143059 3.1011390.24463514.833850 2.530.5101547.301050 3.368629 2.1673660.4871058.719964 2.940.4788369.917533 3.801167 2.6090760.34570111.602630 3.350.45734812.926250 4.150717 3.1142210.24252114.919920 2.540.5092287.360200 3.380279 2.1773940.4831818.785092 2.950.4782159.986250 3.810619 2.6206380.34275111.678370 3.360.45691213.004530 4.158334 3.1273420.24042615.006260 2.550.5083127.419583 3.391871 2.1874600.4792808.850480 2.960.47759910.055200 3.820021 2.6322370.33982311.754380 3.370.45647913.083050 4.165912 3.1405010.23834915.092850 2.560.5074067.479200 3.403407 2.1975630.4754028.916127 2.970.47698910.124380 3.829374 2.6438740.33691911.830640 3.380.45604913.161800 4.173449 3.1536980.23629015.179690 2.570.5065097.539050 3.414885 2.2077020.4715478.982033 2.980.47638410.193800 3.838679 2.6555490.33403811.907150 3.390.45562313.240780 4.180947 3.1669340.23424915.266800 2.580.5056207.599133 3.426307 2.2178790.4677159.048199 2.990.47578510.263450 3.847935 2.6672620.33118011.983930 3.400.45520013.320000 4.188406 3.1802080.23222615.354170 2.590.5047417.659450 3.437671 2.2280930.4639079.114624 3.000.47519110.333330 3.857143 2.6790120.32834412.060960 3.410.45478113.399450 4.195825 3.1935200.23022015.441790 2.600.5038717.720000 3.448980 2.2383430.4601239.181308 3.010.47460210.403450 3.866303 2.6908010.32553112.138260 3.420.45436513.479130 4.203205 3.2068700.22823215.529670 2.610.5030107.780783 3.460231 2.2486310.4563629.248251 3.020.47401910.473800 3.875414 2.7026270.32274012.215810 3.430.45395213.559050 4.210547 3.2202590.22626215.617810 2.620.5021577.841800 3.471427 2.2589560.4526259.315453 3.030.47344110.544380 3.884478 2.7144910.31997212.293620 3.440.45354313.639200 4.217850 3.2336850.22430915.706200 2.630.5013137.903050 3.482567 2.2693180.4489129.382915 3.040.47286810.615200 3.893495 2.7263940.31722612.371690 3.450.45313713.719580 4.225115 3.2471510.22237315.794860

M1M2p2/p1ρ2/ρ1T2/T1p02/p01p02/p1M1M2p2/p1ρ2/ρ1T2/T1p02/p01p02/p1M1M2p2/p1ρ2/ρ1T2/T1p02/p01p02/p1 3.460.45273413.800200 4.232341 3.2606540.22045415.883770 3.870.43861717.306380 4.498265 3.8473460.15493219.751280 4.280.42811121.204800 4.713462 4.4987740.10980124.052230 3.470.45233413.881050 4.239530 3.2741960.21855315.972940 3.880.43832317.396800 4.504069 3.8624630.15361919.851030 4.290.42789021.304780 4.718173 4.5154730.10889724.162540 3.480.45193813.962130 4.246680 3.2877760.21666816.062370 3.890.43803217.487450 4.509842 3.8776190.15231719.951030 4.300.42767021.405000 4.722861 4.5322110.10800224.273110 3.490.45154414.043450 4.253794 3.3013940.21479916.152060 3.900.43774317.578330 4.515586 3.8928130.15102720.051290 4.310.42745121.505450 4.727525 4.5489870.10711424.383940 3.500.45115414.125000 4.260870 3.3150510.21294816.242000 3.910.43745517.669450 4.521301 3.9080460.14974920.151810 4.320.42723321.606130 4.732166 4.5658020.10623524.495030 3.510.45076714.206780 4.267908 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8.580000 5.66532817.4005800.00448610

9.4403043.000.378490 2.1570E+03 5.983819360.47210 2.4255E-062.3812E+03 5.200.41251931.380000 5.063670 6.1970860.05296635.2797409.300.389058100.73830 5.67209517.7603400.004267111.8222044.000.378466 2.2585E+03 5.984544377.38880 2.1630E-062.4932E+03 5.300.41127332.605000 5.093382 6.4014440.04912636.6315209.400.388826102.92000 5.67866318.1239800.004061114.2299045.000.378444 2.3623E+03 5.985222394.69440 1.9339E-062.6078E+03 5.400.41009333.853330 5.121780 6.6096810.04560138.0090609.500.388601105.12500 5.68503918.4915200.003866116.6634046.000.378424 2.4685E+03 5.985856412.38880 1.7332E-062.7249E+03 5.500.40897435.125000 5.148936 6.8217980.04236139.4123509.600.388383107.35330 5.69123118.8629400.003683119.1226047.000.378404 2.5770E+03 5.986450430.47220 1.5571E-062.8447E+03 5.600.40791236.420000 5.1749177.0377930.03938340.8414109.700.388172109.60500 5.69724519.2382500.003510121.6076048.000.378386 2.6878E+03 5.987007448.94440 1.4019E-062.9670E+03 5.700.40690337.738330 5.1997877.2576700.03664342.2962209.800.387967111.88000 5.70308819.6174400.003346124.1183049.000.378369 2.8010E+03 5.987531467.80550 1.2650E-063.0919E+03 5.800.40594439.080000 5.2236027.4814270.03412043.7767909.900.387768114.17830 5.70876620.0005300.003191126.6547050.000.378353 2.9165E+03 5.988024487.05550 1.1438E-063.2194E+03 5.900.40503140.445000 5.2464207.7090660.03179545.28312010.000.387575116.50000 5.71428620.3875000.003045129.21700

MωμMωμMωμMωμMωμMωμ1.000.000090.0000 1.408.987045.5847 1.8020.725133.7490 2.2031.732527.0357 2.6041.414722.6199 3.0049.757419.4712 1.010.044781.9307 1.419.275645.1715 1.8121.013933.5377 2.2131.991426.9035 2.6141.639222.5284 3.0149.949919.4039 1.020.125778.6351 1.429.565044.7670 1.8221.302133.3293 2.2232.249426.7726 2.6241.862822.4378 3.0250.141719.3371 1.030.229476.1376 1.439.855344.3709 1.8321.589833.1237 2.2332.506626.6430 2.6342.085522.3478 3.0350.332819.2708 1.040.351074.0576 1.4410.146443.9830 1.8421.876932.9207 2.2432.762926.5148 2.6442.307422.2586 3.0450.523119.2049 1.050.487472.2472 1.4510.438143.6028 1.8522.163332.7204 2.2533.018426.3878 2.6542.528522.1702 3.0550.712719.1395 1.060.636770.6300 1.4610.730543.2302 1.8622.449232.5228 2.2633.273026.2621 2.6642.748822.0824 3.0650.901619.0745 1.070.797369.1603 1.4711.023542.8649 1.8722.734432.3276 2.2733.526826.1376 2.6742.968221.9954 3.0751.089719.0100 1.080.968067.8084 1.4811.316942.5066 1.8823.019032.1349 2.2833.779626.0144 2.6843.186821.9091 3.0851.277118.9459 1.09 1.147966.5534 1.4911.610942.1552 1.8923.302931.9447 2.2934.031725.8923 2.6943.404521.8234 3.0951.463818.8823 1.10 1.336265.3800 1.5011.905241.8103 1.9023.586131.7569 2.3034.282825.7715 2.7043.621521.7385 3.1051.649718.8191 1.11 1.532164.2767 1.5112.199941.4718 1.9123.868731.5714 2.3134.533125.6518 2.7143.837621.6542 3.1151.835018.7563 1.12 1.735063.2345 1.5212.494941.1395 1.9224.150631.3882 2.3234.782525.5332 2.7244.052921.5706 3.1252.019518.6939 1.13 1.944562.2461 1.5312.790140.8132 1.9324.431831.2072 2.3335.031025.4158 2.7344.267421.4876 3.1352.203318.6320 1.14 2.160061.3056 1.5413.085640.4927 1.9424.712331.0285 2.3435.278725.2995 2.7444.481021.4053 3.1452.386418.5705 1.15 2.381060.4082 1.5513.381240.1778 1.9524.992030.8519 2.3535.525525.1843 2.7544.693821.3237 3.1552.568818.5094 1.16 2.607359.5497 1.5613.677039.8683 1.9625.271130.6774 2.3635.771525.0702 2.7644.905921.2427 3.1652.750518.4487 1.17 2.838558.7267 1.5713.972839.5642 1.9725.549430.5050 2.3736.016524.9572 2.7745.117121.1623 3.1752.931518.3884 1.18 3.074357.9362 1.5814.268739.2653 1.9825.826930.3347 2.3836.260724.8452 2.7845.327521.0825 3.1853.111818.3285 1.19 3.314257.1756 1.5914.564538.9713 1.9926.103730.1664 2.3936.504124.7343 2.7945.537121.0034 3.1953.291418.2691 1.20 3.558256.4427 1.6014.860438.6822 2.0026.379830.0000 2.4036.746524.6243 2.8045.745920.9248 3.2053.470318.2100 1.21 3.806055.7354 1.6115.156138.3978 2.0126.655029.8356 2.4136.988124.5154 2.8145.953920.8469 3.2153.648618.1513 1.22 4.057255.0520 1.6215.451838.1181 2.0226.929629.6730 2.4237.228924.4075 2.8246.161120.7695 3.2253.826118.0929 1.23 4.311754.3909 1.6315.747337.8428 2.0327.203329.5123 2.4337.468724.3005 2.8346.367520.6928 3.2354.002918.0350 1.24 4.569453.7507 1.6416.042737.5719 2.0427.476229.3535 2.4437.707724.1945 2.8446.573120.6166 3.2454.179117.9774 1.25 4.829953.1301 1.6516.337937.3052 2.0527.748429.1964 2.4537.945924.0895 2.8546.777920.5410 3.2554.354617.9202 1.26 5.093152.5280 1.6616.632937.0427 2.0628.019729.0411 2.4638.183123.9854 2.8646.982020.4659 3.2654.529417.8634 1.27 5.359051.9433 1.6716.927636.7842 2.0728.290328.8875 2.4738.419523.8823 2.8747.185220.3914 3.2754.703617.8069 1.28 5.627251.3752 1.6817.222036.5296 2.0828.560028.7357 2.4838.655123.7800 2.8847.387720.3175 3.2854.877017.7508 1.29 5.897750.8226 1.6917.516136.2789 2.0928.829028.5855 2.4938.889823.6786 2.8947.589420.2441 3.2955.049817.6951 1.30 6.170350.2849 1.7017.809936.0319 2.1029.097128.4369 2.5039.123623.5782 2.9047.790320.1713 3.3055.222017.6397 1.31 6.444949.7612 1.7118.103435.7885 2.1129.364428.2899 2.5139.356523.4786 2.9147.990520.0990 3.3155.393517.5847 1.32 6.721349.2510 1.7218.396435.5487 2.1229.630928.1446 2.5239.588623.3799 2.9248.189820.0272 3.3255.564317.5300 1.33 6.999548.7535 1.7318.689135.3124 2.1329.896528.0008 2.5339.819923.2820 2.9348.388419.9559 3.3355.734517.4756 1.347.279448.2682 1.7418.981435.0795 2.1430.161327.8585 2.5440.050323.1850 2.9448.586319.8852 3.3455.904017.4216 1.357.560747.7946 1.7519.273234.8499 2.1530.425327.7178 2.5540.279823.0888 2.9548.783319.8149 3.3556.072817.3680 1.367.843547.3321 1.7619.564634.6235 2.1630.688427.5785 2.5640.508522.9934 2.9648.979719.7452 3.3656.241117.3147 1.378.127646.8803 1.7719.855434.4003 2.1730.950727.4407 2.5740.736322.8988 2.9749.175219.6760 3.3756.408617.2617 1.388.413046.4387 1.7820.145834.1802 2.1831.212227.3043 2.5840.963322.8051 2.9849.370019.6072 3.3856.575617.2090 1.398.699546.0070 1.7920.435733.9631 2.1931.472827.1693 2.5941.189422.7121 2.9949.564119.5390 3.3956.741917.1567

MωμMωμMωμMωμMωμMωμ3.4056.907517.1046 3.8063.043815.2575 4.2068.333213.7742 4.6072.919212.5559 5.0076.920211.53709.0099.3181 6.3794 3.4157.072517.0529 3.8163.185715.2165 4.2168.455913.7408 4.6173.025912.5282 5.1077.840911.30779.1099.6457 6.3090 3.4257.236917.0016 3.8263.327115.1757 4.2268.578213.7076 4.6273.132212.5006 5.2078.732411.08759.2099.9667 6.2401 3.4357.400716.9505 3.8363.468015.1351 4.2368.700013.6746 4.6373.238212.4732 5.3079.596210.87579.30100.2812 6.1728 3.4457.563916.8997 3.8463.608315.0948 4.2468.821313.6417 4.6473.343812.4459 5.4080.433210.67199.40100.5894 6.1069 3.4557.726416.8493 3.8563.748115.0547 4.2568.942313.6090 4.6573.449112.4187 5.5081.244810.47579.50100.8915 6.0423 3.4657.888316.7991 3.8663.887415.0147 4.2669.062813.5764 4.6673.554012.3916 5.6082.031910.28669.60101.1876 5.9792 3.4758.049616.7493 3.8764.026214.9750 4.2769.182913.5440 4.6773.658612.3647 5.7082.795610.10429.70101.4780 5.9173 3.4858.210216.6998 3.8864.164514.9355 4.2869.302613.5118 4.6873.762812.3378 5.8083.53689.92829.80101.7628 5.8567 3.4958.370316.6505 3.8964.302314.8962 4.2969.421813.4797 4.6973.866612.3111 5.9084.25659.75839.90102.0422 5.7973 3.5058.529816.6016 3.9064.439514.8572 4.3069.540613.4477 4.7073.970112.2845 6.0084.95559.594110.00102.3163 5.7392 3.5158.688616.5529 3.9164.576314.8183 4.3169.659013.4159 4.7174.073312.2580 6.1085.63479.435312.00106.8786 4.7802 3.5258.846916.5045 3.9264.712514.7796 4.3269.777013.3843 4.7274.176112.2316 6.2086.29489.281814.00110.1798 4.0960 3.5359.004516.4564 3.9364.848314.7412 4.3369.894613.3528 4.7374.278612.2054 6.3086.93669.133216.00112.6759 3.5833 3.5459.161616.4086 3.9464.983614.7029 4.3470.011813.3215 4.7474.380712.1792 6.4087.56088.989318.00114.6278 3.1847 3.5559.318016.3611 3.9565.118314.6649 4.3570.128513.2903 4.7574.482512.1532 6.5088.16828.849920.00116.1953 2.8660 3.5659.473916.3139 3.9665.252614.6270 4.3670.244913.2593 4.7674.583912.1273 6.6088.75928.714722.00117.4813 2.6053 3.5759.629116.2669 3.9765.386414.5893 4.3770.360813.2284 4.7774.685012.1015 6.7089.33468.583724.00118.5553 2.3880 3.5859.783816.2202 3.9865.519714.5519 4.3870.476313.1976 4.7874.785812.0758 6.8089.89508.456526.00119.4654 2.2042 3.5959.937916.1738 3.9965.652514.5146 4.3970.591413.1670 4.7974.886212.0502 6.9090.44098.333128.00120.2465 2.0467 3.6060.091516.1276 4.0065.784814.4775 4.4070.706213.1366 4.8074.986312.02477.0090.97278.213230.00120.9242 1.9102 3.6160.244416.0817 4.0165.916714.4406 4.4170.820513.1062 4.8175.086011.99937.1091.49128.096832.00121.5176 1.7908 3.6260.396816.0361 4.0266.048014.4039 4.4270.934413.0761 4.8275.185511.97417.2091.99667.983634.00122.0416 1.6854 3.6360.548615.9908 4.0366.178914.3674 4.4371.048013.0460 4.8375.284611.94897.3092.48967.873536.00122.5076 1.5918 3.6460.699815.9456 4.0466.309314.3311 4.4471.161113.0161 4.8475.383311.92397.4092.97047.766438.00122.9247 1.5080 3.6560.850415.9008 4.0566.439314.2950 4.4571.273812.9864 4.8575.481811.89897.5093.43977.662340.00123.3003 1.4325 3.6661.000515.8562 4.0666.568814.2590 4.4671.386212.9567 4.8675.579911.87417.6093.89777.560842.00123.6402 1.3643 3.6761.150115.8119 4.0766.697814.2232 4.4771.498212.9273 4.8775.677711.84937.7094.34487.462144.00123.9493 1.3023 3.6861.299015.7678 4.0866.826314.1876 4.4871.609712.8979 4.8875.775211.82477.8094.78147.365946.00124.2317 1.2457 3.6961.447415.7239 4.0966.954414.1522 4.4971.720912.8687 4.8975.872311.80027.9095.20807.272148.00124.4905 1.1937 3.7061.595315.6804 4.1067.082014.1170 4.5071.831712.8396 4.9075.969211.77578.0095.62477.180850.00124.7287 1.1460 3.7161.742615.6370 4.1167.209214.0819 4.5171.942212.8106 4.9176.065711.75148.1096.03197.091652.00124.9486 1.1019 3.7261.889315.5939 4.1267.335914.0470 4.5272.052212.7818 4.9276.161911.72728.2096.43007.004754.00125.1522 1.0611 3.7362.035515.5510 4.1367.462114.0123 4.5372.161912.7531 4.9376.257711.70318.3096.8192 6.919956.00125.3414 1.0232 3.7462.181215.5084 4.1467.587913.9778 4.5472.271212.7246 4.9476.353311.67918.4097.1999 6.837158.00125.51750.9879 3.7562.326315.4660 4.1567.713213.9434 4.5572.380112.6961 4.9576.448611.65518.5097.5722 6.756360.00125.68190.9550 3.7662.470915.4239 4.1667.838113.9092 4.5672.488712.6678 4.9676.543511.63138.6097.9365 6.677462.00125.83570.9242 3.7762.614915.3819 4.1767.962613.8752 4.5772.596812.6396 4.9776.638211.60768.7098.2930 6.600364.00125.97980.8953 3.7862.758415.3402 4.1868.086613.8414 4.5872.704612.6116 4.9876.732511.58398.8098.6419 6.525066.00126.11530.8682 3.7962.901415.2988 4.1968.210113.8077 4.5972.812112.5837 4.9976.826511.56048.9098.9836 6.451468.00126.24280.8426

室内和室外空气设计参数

第四章室内和室外空气设计参数 4.1内空气设计参数 4.1.1舒适性空调室内空气设计参数 舒适性空调泛指生活环境中如居室、办公室、餐厅等对温度、湿度没有太高的精度要求的空调方式。舒适性空调室内空气的温度、相对湿度要求见表4-1所示。 表4-1 舒适性空调室内设计温湿度及风速 部分建筑的室内空气设计温、湿度见表4-2所示。民用建筑空气调节房间室内计算温度见表1-4-3所示。 表4-2 部分建筑的室内空气设计温、湿度 表4-3 民用建筑空气调节房间室内计算温度

4.1.2工艺性空调室内空气设计参数 工艺性空调室内空气设计参数见表4-4至表4-5所示。 表4-4 工艺性空调室内空气设计参数

表4-5 机械工业部分室内参数要求 4.1.3电子计算机房的温、湿度要求 电子计算机房的温、湿度标准值见表4-6所示。电子计算机房的温、湿度条件见表4-7所示。 表4-6 温、湿度标准值 表4-7 电子计算机房的温、湿度条件

4.2 室外空气设计参数 1、 夏季空调室外计算干球温度t K 室外气象参数可按下面简化公式计算 夏季空调室外计算干球温度 t K = 0.47 t x + 0.53 t r (℃) 式中 t x ——累年最热月平均温度 (℃) t r ——累年极端最高温度 (℃) 2、 夏季空调室的计算湿球温度t s (平均每年不保证50小时) 湿球温度t s 应分区计算 (1) 北部地区 黑龙江、吉林、辽宁、新疆、青海、甘肃、宁夏、内蒙和西藏等省、自治区计算公式如下 t s = 0.72 t sx + 0.28 t sr (℃) (2) 中部地区 陕西、山西、北京、天津、河北、河南、山东、上海、江苏、安徽和湖北的

空气物理性质与压力

空气物理性质 空气的组成: 成分 氮氧氩二氧化碳其他 体积(%)78.09 20.95 0.93 0.03 0.078 重量(%)75.53 23.14 1.28 0.05 0.075 空气的密度: 空气具有一定的质量,质量常用密度来表示。密度是单位体积内空气的质量,用ρ表示。ρ=M/V 式中M、V分别为气体的质量与体积。 空气的粘度: 空气质点相对运动时产生阻力的性质。空气粘度的变化只受温度变化的影响,而压力变化 对其影响甚微,可忽略不记。 空气的运动粘度与温度的关系: t(oC) 0 5 10 20 30 40 60 80 100 v(m2s-1) 0.136 0.142 0.147 0.157 0.166 0.176 0.196 0.21 0.238 (10-4) 空气的压缩性与膨胀性: 当气体的压力变化时体积随之改变的性质称为气体的压缩性;气体因温度变化体积随之改变的性质称为气体的膨胀性。空气的压缩性和膨胀性都远大于液体的压缩性和膨胀性。气体的 体积随温度和压力的变化规律服从气体状态方程。 mym2005-09-29 09:54 气动控制系统设计计算 气动控制系统的设计步骤 气动控制系统是由电气信号处理部分和气压功率输出部分所组成的闭环控制系统。通常,气动控制系统的设计步骤为: 1)明确气动控制系统的设计要求; 2)确定控制方案,拟定控制系统原理图; 3)确定气压控制系统动力元件参数,选择反馈元件; 4)计算控制系统的动态参数,设计校正装置并选择元件。

mym2005-09-29 09:54 气动比例、伺服控制 气动比例伺服控制系统是由电气信号处理部分和气动功率输出部分所组成的闭环控制系统。 气动比例、伺服控制系统与液压比例、伺服控制系统比较有如下特点: 1)能源产生和能量储存简单。 2)体积小、重量轻。 3)温度变化对气动比例、伺服机构的工作性能影响很小。 4)气动系统比较安全,不易发生火灾,并且不会造成环境污染。 5)由于气体的可压缩性,气动系统的响应速度低,在工作压力和负载大小相同时,液压系统的响应速度约为气动系统的50倍。同时,液压系统的刚度约为相当的气动系统的400倍。6)由于气动系统没有泵控系统,只有阀控系统,阀控系统的效率较低。阀控液压系统和气动伺服系统的总效率分别为60%和30%左右。 7)由于气体的粘度很小,润滑性能不好。在同样加工精度情况下,气动部件的漏气和运动副之间的干摩擦相对较大,负载易出现爬行现象。 综合分析,气动控制系统适用于输出功率不大(气动控制系统的极限功率约为4kW),动态性能要求不高,工作环境比较恶劣的高温或低温,并对防火有较高要求的场合。

暖通空调设计中关于室外气象参数的文献综述

关于室外气象参数的文献综述 通过对《建筑热过程》这门课程的学习,使我体会到在做暖通空调设计时,室外气象参数的重要性。所以,需要对室外气象参数的来源、处理、计算方法、使用等等做进一步学习。 空调设计气象参数,包括设计干球温度、湿球温度和太阳辐射,是建筑空调系统设计必要和基本的数据。它们同时作用于建筑物,.是导致围护结构的传热和通过渗透和通风直接进行质交换的驱动势。在空调系统中同时发生的设计气象条件是确定空调系统容量的峰值冷负荷所必需的条件。不适当的设计气象数据将造成容量过大或偏小的HV AC系统,会导致不必要的额外初投资和较低的部分负荷效率,或者经常不能提供充足的制冷量。 1.室外空气计算参数的数据来源及分析比较 原始数据来源于中国气象局气象信息中心气象室编制的我国地面气象资料数据集和气象辐射资料数据集。我国地面气象资料数据集由我国地面气候观测网国家基准气候站和国家基本气象站连续定时探测大气变化所记录的各种气象要素资料组成。基准气候站每天进行24次定时观测,基本气象站每天进行4次定时观测,分别为02:00、08:00、14:00、20:00。 采用国家气象信息中心气象资料室提供的26城市1978年1月1月至2007年12月31日的地面气候资料为观测基础数据,按我国规范的确定方法和国外不保证率的方法为基础,对室外空气计算参数的确定方法进行讨论,并更新了部分城市的主要室外空气计算参数,主要结论如下: (1)分别计算统计年限为10年、15年、20年及30年的室外空气计算参数,参考气象学上的规定并综合冬夏室外空气计算参数的变化与累年气温的变化规律,认为30年是比较适宜的统计期。 (2)我国空调室外空气计算参数与ASHRAE相比,数值处于保证级别比较高的水平,只是形式不够灵活,不能让设计师在设计时根据建筑的不同用途、实际需要来选择对应的设计值。而且我国现在还不能提供满足统计要求的逐时气温数据,使用不保证率的方法条件还不够成熟。 (3)与GBJ19一87相比,夏季空调干球计算温度变化不大,大部分城市温度增长在1℃以内,个别城市如乌鲁木齐、徐州的夏季空调设计温度甚至低于原规范的设计参数;采暖城市30年统计期的采暖室外计算温度增幅较为明显,大部分上升了2一3℃,部分北方城市10年统计期的冬季采暖及空调设计参数呈现出下降趋势,有的甚至与30年的统计数据持平。 (4)对负荷计算方法进行分析并对比新老30年的计算参数,我国北方地区采暖室外计

第二章湿空气的物理性质及其焓湿图

第2章 创造满足人类生产、空气环境的主体又是通风工程的处理对象,2.1 湿空气的物理性质 2.1.1 空气的组成 通风工程的媒介是空气,(N 2)、氧(O 2)、氩(Ar )、二氧化碳(CO 2体;多数成分如氮(N 2)、氧(O 2)、氩(Ar 定,少数成分如二氧化碳(CO 2)组成。目前推荐的干空气标准成分见表2-1和图表2-1 注:该表中气体成分随时间和场所的不同,有较大变化; *氡有放射能,由Rn 220和Rn 222两种同位素构成,因为同位素混合物的原子量变化,所以不作规定。(Rn 220半衰期54s ,Rn 222半衰期3.83日)

2.1.2 湿空气的物理性质 通风空调的空气成分与人们平时所说的“空气”实际是干空气加水蒸汽的混合物,即湿空气。 在湿空气中水蒸汽的含量虽少,但其变化却对空气环境的干燥和潮湿程度产生重要影响,且使湿空气的物理性质随之改变[4]。因此研究湿空气中水蒸汽含量的调节在通风空调中占有重要地位。 地球表面的湿空气中,尚有悬浮尘埃、烟雾、微生物及化学排放物等,由于这些物质并不影响湿空气的热力学特性,因此本章不涉及这些内容。 1、压力 空气分子永不停息、无规则的热运动对容器壁面产生的压强,习惯叫做空气的绝对静压,是气体状态的基本参量之一。海平面的标准大气压为101325Pa 。压力的单位有Pa 、mbar 等,大气压力各单位之间的换算见表2-2。 大气压力随海拔高度而变化,可由以下经验公式计算: 2559.550)105577.21(H P P ??-=-,Pa (2-1) 式中 P 0——海平面大气压力,Pa ; H ——海拔高度,m 。 当海平面P 0=101325Pa 时,可作出海拔高度和大气压力变化关系的曲线,大气压力随海拔高度的变化如图2-2所示。大气压力值一般在士5%范围内波动。 -1 1 2 3 4 5 6 7 8 405060708090100110 大气压 P /k P a 海拔高度 /km 图2-2 大气压与海拔高度的关系 湿空气各组分气体的分压力遵循道尔顿定律。即: i P P ∑= (2-2) 对于理想气体遵循的状态方程为: mRT PV = 或 RT P =υ (2-3)

空气物性参数表

空气物性参数表 工程热力学研究的对象是热能转化成机械能的规律和方法,以及提高转化效率的途径。热力学第一定律说明了能量在传递和转化时的数量关系,即某一物体失去的热量必然等于另一物体所得到的热量。热力学第二定律是研究能量传递和转移过程进行的方向、条件和深度等规律问题,其中最根本的是关于方向的问题。热不可能自发地、不付代价地、从低温物体传至高温物体。 1. 导热:也称热传导,是指物体各部分之间不发生相对位移时,依靠分子、原子及自由电子等微观粒子的热运动而产生的热量传递现象。例如,物体内部热量从温度较高的部分传递到温度较低的部分,以及温度较高的物体把热量传递给与之接触的温度较低的另一物体都是导热现象。 2. 热对流:简称对流,是指流体内部各部分之间发生相对位移,冷热流体相互掺混而引起的热量传递现象。热对流现象仅能发生在流体内部,而且必然伴随有导热现象。 3. 热辐射:物体通过电磁波来传递能量的方式称为辐射。物体会因各种原因发出辐射能,其中因热的原因而发出辐射能的现象称为热辐射。(由物体表面直接向外界发射可见和不可见射线,在空间传递能量的现象称为热辐射。它是一种非接触传递能量的方式。)

4. 温度:是指物体冷热的程度。是指物质微观粒子(分子、电子等)热运动激烈程度的衡量。 5. 导热系数λ(导热率):它表示物质导热能力的大小。由实验取得。单位:W/m.℃ 6. 换热系数α(放热系数、给热系数):表示当流体与壁面间的温差为1℃时,在单位时间内,通过单位面积的热量。放热系数的大小反映出对流换热过程的强烈程度。单位:W/m2.℃ 7. 传热系数k:传热温差为1℃时,在单位时间内,通过单位面积的热量。它反映传热过程的强烈程度。单位:W/m2.℃ 8. 导温系数α(热扩散率):表示物体中热扩散的快慢程度。是材料传播温度变化能力大小的指标。α=λ/ρc 由实验取得。单位:m2/s 9. 热阻Rt:热转移过程中的阻力称为热阻。Rt=△t/Q 10. 比热c:物体温度升高1度所需的热量叫热容,单位物量的物体温度升高1度所需的热量叫比热容,简称比热。根据计量物量的单位不同,有质量比热、容积比热、摩尔比热之分。质量比热单位:kJ/kg.℃;

采暖通风设计规范·室内外计算参数·室外空气计算参数

暖通知识 第2.2.1条采暖室外计算温度,应采历年平均不保证5天的日平均温度。 注:本条及本节其他文中所谓"不保证"。系针对室外空气温度状况而言,"历年平均不保证",系针对累年不保证总天数或小时数的历年平均值而言。 第2.2.2条冬季通风室外计算温度,应采用累年最冷月平均温度。 第2.2.3条夏季通风室外计算温度,应采用历年最热月14时的月平均温度的平均值。 第2.2.4条夏季通风室外计算相对湿度,应采用历年最热月14时的月平均相对湿度的平均值。 第2.2.5条冬季空气调节室外计算温度,应采用历年平均不保证1天的日平均温度。 第2.2.6条冬季空调节室外计算相对湿度,应采用累年最冷月平均相对湿度。 第2.2.7条夏季空气调节室外计算干球温度,应采用历年平均不保证50h的干球温度。 注:统计干温球温度时,宜采用当地气象台站每天4次的定时温度记录,并以每次记录值代表6h的温度值核算。第2.2.8条夏季空气调节室外计算湿球温度,应采用历年平均不保证50h的湿球温度。 第2.2.9条夏季空气调节室外计算日平均温度,应采用历年平均不保证5天的日平均温度。 第2.2.10条夏季空气调节室外计算逐时温度,可按下式确定: tsh=twp+βΔtr(2.2.10-1)

式中:tsh---室外计算逐时温度(℃) twp---夏季空气调节室外计算日平均温度(℃),按本规范第2.2.9条采用。 β---室外温度逐时变化系数,按2.2.10采用; Δtr---夏季室外计算平均日较差,应按下式计算:室外温度逐时变化系数 560)this.width=560"> 式中:Δtr---夏季空气调节室外计算干球温度(℃),按本规范第2.2.7条采用。其他符号意义同式(2.2.10-1)。 第2.2.11条当室内温湿度必须全年保证时,应另行确定空气调节室外计算参数。 更多文章https://www.doczj.com/doc/498919927.html,/ 长沙地暖 cscnwk 仅在部分时间(如夜间)工作的空气调节系统,可不遵守本规范第2.2.7条至第2.2.10条的规定。 第2.2.12条冬季室外平均风速,应采用累年最冷三个月各月平均风速的平均值。冬季室外最多风向的平均风速,应采用累年最冷三个月最多风向(静风除外)的各月平均风速的平均值。 夏季室外平均风速,应采用累年最热三个月各月平均风速的平均值。 第2.2.13条冬季最多风向及其频率,应采用累年最冷三个月的最多风向及其平均频率。 夏季最多风向及其频率,应采用累年最热三个月的最多风向及其平均频率。 年最多风向及其频率,应采用累年最多风向及其平均频率。 第2.2.14条冬季室外大气压力,应采用累年最冷三个月各月平均大气压力的平均值。 第2.2.15条冬季日照百分率,应采用累年最冷三个月各月月

空气物性参数表

物性参数: 物性参数主要是材料在制工方面能否达到要求的数据。不同材料有不同的物性参数。比如尼龙,就有很多数据要求,有冲击强度,拉伸强度,融溶指数等等。 传热学中的参数: 工程热力学研究的对象是热能转化成机械能的规律和方法,以及提高转化效率的途径。热力学第一定律说明了能量在传递和转化时的数量关系,即某一物体失去的热量必然等于另一物体所得到的热量。热力学第二定律是研究能量传递和转移过程进行的方向、条件和深度等规律问题,其中最根本的是关于方向的问题。热不可能自发地、不付代价地、从低温物体传至高温物体。 1. 导热:也称热传导,是指物体各部分之间不发生相对位移时,依靠分子、原子及自由电子等微观粒子的热运动而产生的热量传递现象。例如,物体内部热量从温度较高的部分传递到温度较低的部分,以及温度较高的物体把热量传递给与之接触的温度较低的另一物体都是导热现象。 2. 热对流:简称对流,是指流体内部各部分之间发生相对位移,冷热流体相互掺混而引起的热量传递现象。热对流现象仅能发生在流体内部,而且必然伴随有导热现象。 3. 热辐射:物体通过电磁波来传递能量的方式称为辐射。物体会因各种原因发出辐射能,其中因热的原因而发出辐射能的现象称为

热辐射。(由物体表面直接向外界发射可见和不可见射线,在空间传递能量的现象称为热辐射。它是一种非接触传递能量的方式。) 4. 温度:是指物体冷热的程度。是指物质微观粒子(分子、电子等)热运动激烈程度的衡量。 5. 导热系数λ(导热率):它表示物质导热能力的大小。由实验取得。单位:W/m.℃ 6. 换热系数α(放热系数、给热系数):表示当流体与壁面间的温差为1℃时,在单位时间内,通过单位面积的热量。放热系数的大小反映出对流换热过程的强烈程度。单位:W/m2.℃,但是与导热系数不同,它不是物性参数。 7. 传热系数k:传热温差为1℃时,在单位时间内,通过单位面积的热量。它反映传热过程的强烈程度。单位:W/m2.℃ 8. 导温系数α(热扩散率):表示物体中热扩散的快慢程度。是材料传播温度变化能力大小的指标。α=λ/ρc 由实验取得。单位:m2/s 9. 热阻Rt:热转移过程中的阻力称为热阻。Rt=△t/Q 10. 比热c:物体温度升高1度所需的热量叫热容,单位物量的物体温度升高1度所需的热量叫比热容,简称比热。根据计量物量的单位不同,有质量比热、容积比热、摩尔比热之分。质量比热单位:kJ/kg.℃;容积比热单位:kJ/m3.℃;摩尔比热单位:kJ/mol.℃。定压比热用cp表示;定容比热用cv表示。

空气的物理性质

空气的物理性质 .温度 温度是描述空气冷热程度的物理量,主要有三种标定方法:摄氏温标、华氏温标和绝对温标(又称热力学温标或开氏温标)。 2.压力 空气的压力就是当地的大气压,用符号p表示。常用单位有国际单位帕(Pa);工程单位kfg/cm2;液柱高单位毫米汞柱高和毫米水柱高。 3.湿度 空气湿度是指空气中含水蒸气量的多少,有以下几种表示方法: (1)绝对湿度。即每平方米空气中含有水蒸气的质量,用符号γZ表示,单位为kg/m3。如果在某一温度下,空气中水蒸气的含量达到了最大值,此时的绝对湿度称为饱和空气的绝对湿度,用γB表示。 (2)相对湿度。为了能准确说明空气中的干湿程度,在空调中采用了相对湿度这个参数,它是空气的绝对湿度γZ与同温度下饱和空气的绝对湿度γB的比值,用符号φ表示。4.比焓 空气的焓值是指空气中含有的总热量,通常以干空气的单位质量为基准,称作比焓,工程上简称焓。因此,空气的比焓是指1kg干空气的焓和与它相对应的水蒸气的焓的总和,用符号h表示,单位是kj/kg。 5.密度和比容 空气的密度是指每立方米空气中干空气的质量与水蒸气的质量之和,用ρ表示,单位为kg/m3。 空气的比容是指单位质量的空气所占有的容积,用符号ν表示,单位为m3/kg。因此空气的密度与比容互为倒数关系。 湿空气是水蒸汽和干空气的混合物。完全不含水蒸汽的空气称为干空气,干空气本身是氮、氧及少量其它气体的混合物,其成分比较稳定。大气中的空气或多或少都含有水蒸汽,因此人们在日常生活及工程上遇到的都是湿空气。随地理位置、季节、气候等条件影响,大气成分有些变动。通常认为干空气各组分的标准容积分数如下表: 在某些过程如干燥、空气调节等问题中,空气中的水蒸汽起着特殊作用,所以我们必须研究气体和蒸汽的混合物的热力性质,特别是干空气和水蒸汽的混合物—湿空气的热力性质。

空气物性参数表

空气物性参数表 湿空气热物性计算示例A ●分子量 Maw=Ma-(Ma-Mw)pw/paw 式中,Maw为湿空气分子量,g/mol;Ma为干空气的分子量,28.97g/mol;Mw为水蒸气的分子量,18.02g/mol;pw为湿空气中水蒸气的分压力,Pa;paw为湿空气的总压力,Pa。 计算示例:设湿空气总压力为101325Pa,其中水蒸气的分压力为3000Pa,则此时湿空气的分子量为: Maw=28.97-(28.97-18.02)*3000/101325 =28.65 g/mol ●湿空气中水蒸气分压力

pw=φps 式中,pw为湿空气中水蒸气的分压力,Pa;φ为湿空气的相对湿度,无因次;ps为湿空气温度下纯水的饱和蒸气压力(也为湿空气温度下饱和湿空气中水蒸气的分压力),Pa。 纯水的饱和蒸气压力的估算式为(0~100℃): ln(ps)=25.4281-5173.55/(Ts+273) 式中,ps为水的饱和蒸气压,Pa;Ts为水的温度,℃。 计算示例:设湿空气温度为36℃,相对湿度为70%,则湿空气中水蒸气分压力的计算过程为: 该温度下纯水的饱和蒸气压为: ln(ps)=25.4281-5173.55/(36+273)=8.6852 ps =e8.6852=5915 Pa

湿空气中的水蒸气分压力为: pw=φps=0.7*5915=4140.5Pa ●湿空气的露点温度 湿空气中水蒸气开始凝结的温度为其露点温度,等于其湿空气中水蒸气分压力下纯水的饱和温度,其估算式为(0~80℃): Td=5266.77/(25.7248-ln(pw))-273 式中,Td为湿空气的露点温度,℃;pw为湿空气中水蒸气的分压力,Pa。 计算示例:接上例,温度为36℃,相对湿度为70%的湿空气,其露点温度计算过程为: 湿空气中水蒸气分压力为4140.5Pa,则其对应的露点温度为:

空气处理机组选择计算说明

空气处理机组选择计算 1 电算表格内容、适用范围和使用说明 1.1 空气状态点计算表 已知某空气状态点的任意2个常用参数,求其他参数: 1、已知干、湿球温度; 2、已知干球温度、相对湿度; 3、已知干球温度、含湿量; 4、已知干球温度、焓值; 5、已知含湿量、焓值。 1.2 一次回风空气处理机组的选择计算表 基本已知数据:冬夏季室内热湿负荷、人员所需新风量、冬夏季新风状态、冬季加湿方式(仅限于“等焓”或“等温”加湿) 注:冬季当室内热湿负荷低于设计工况时,空气处理机组则需要较大的加热和加湿量,因此冬季工况表中填入的热湿负荷值应适当考虑开机时室内较低负荷的数值。 1.2.1夏季工况计算表 1、表1:已知室内温湿度,求空气处理机组的送风量、送风参数、冷却量、冷凝水量等。适用于 允许采用最大送风温差的一般典型空气处理机组的选型计算。见图1.2.1-1处理过程1(实线)。 2、表2:已知室内温度、允许送风温差,求空气处理机组的送风量、送风参数、冷却量、冷凝水 量和室内相对湿度等。可用于要求较小送风温差、但又不采用二次加热或二次回风的空调系统 能否满足要求。见图1.2.1-1(例如下送风舒适性空调),可根据计算结果校核室内相对湿度 2 处理过程2(虚线)。 100% 图1.2.1-1 采用最大送风温差的一次回风系统夏季处理过程 3、表3:已知室内温湿度、允许送风温差,求空气处理机组的送风量、送风参数、冷却量、再热 量、冷凝水量等。适用于要求较小的送风温差,不再热不能满足室内湿度要求的情况,以及热湿比较小,采用再热才能将送风状态点处理至热湿比线上的情况等。见图1.2.1-2处理过程。

中央空调室内外空气计算参数

中央空调室、内外空气计算参数 中央空调空气计算-夏季空调室外计算干、湿球温度 夏季空调室外计算干球温度,应采用历年平均不保证50h的干球温度;夏季空调室外计算湿球温度,应采用历年平均不保证50h的湿球温度。 中央空调空气计算-夏季空调室外计算日平均温度和逐时温度 夏季计算经围护结构传入室内的热量时,应按不稳定传热过程计算,因此,必须已知室外设计日的室外平均温度和逐时温度。夏季空调室外计算日平均温度应采用历年平均不保证5天的日平均温度。 中央空调空气计算-冬季空调室外计算温度、湿度的确定 1、由于冬季空调系统加热、加湿所需费用,小于夏季冷却、减湿的费用,为便于计算,冬季围护结构传热按稳定传热计算,不考虑室外气温的波动。冬季采用空调设备送热风时,计算其围护结构传热和计算冬季新风负荷,采用同一冬季空调室外计算温度。 2、冬季空调室外计算温度,应采用历年平均不保证一天的日平均温度。 3、若冬季不使用空调设备送热风,仅采用采暖装置补偿房间失热时,计算围护结构传热应采用采暖室外计算温度。 4、由于冬季室外空气含湿量低于夏季,且变化量很小,不必给出湿球温度,只给出冬季室外计算相对湿度值。 5、冬季空调室外计算相对湿度应采用累年最冷月平均相对湿度。 中央空调空气计算-舒适性空调室内温、湿度标准 根据《采暖通风与空气调节设计规范》规定,舒适性空调室内计算参数如下:夏季温度24-28度,相对湿度40%-65%,风速不大于0.3m/s;冬季温度18-22度,相对湿度40%-60%,风速不大于0.2m/s。 如果在中央空调空气计算过程中,出现任何一点误差,或误差超出了规定范围,特别是将高温季节中罕见的高温或高湿的数值,按这种方式计算出的结果去配置设备的话,则会因为设备各项指标过高而形成浪费,所以参数计算这一环节的重要性则不言而喻了。可以咨询柯伊梅尔。

民用建筑供暖通风与空气调节设计规范GB50736-2012

前 言 根据住房和城乡建设部建标[2008]102号文件“关于印发《2008年工程建设国家标准制定、修订计划(第一批)》的通知”,由中国建筑科学研究院主编,会同国内有关设计、科研和高等院校等单位组成编制组,共同编制本标准。 在标准编制过程中,编制组进行了广泛深入的调查研究,总结了国内实践经验,吸收了发达国家相关设计标准的最新成果,认真分析了我国暖通空调行业的现状和发展,多次征求了国内各有关单位以及业内专家的意见,通过反复讨论、修改和完善,形成征求意见稿。 本规范共分11章和10个附录。主要内容是:总则,术语,室内空气计算参数,室外设计计算参数,供暖,通风,空气调节,冷热源,监测与控制,消声与隔振,绝热与防腐。 本规范以黑体字标志的条文为强制性条文,必须严格执行。 本规范由住房和城乡建设部负责管理和对强制性条文进行解释,中国建筑科学研究院负责具体技术内容的解释。 本规范在执行过程中,请各单位注意总结经验,积累资料,随时将有关意见和建议反馈给中国建筑科学研究院暖通空调规范编制组(北京市北三环东路30号,邮政编码100013),以供今后修订时参考。 本规范主编单位、参编单位名单: 主 编 单 位:中国建筑科学研究院 参 编 单 位:北京市建筑设计研究院 中国建筑设计研究院 国家气象信息中心 中国建筑东北设计研究院 清华大学 上海建筑设计研究院 华东建筑设计研究院 天津市建筑设计院 天津大学 哈尔滨工业大学 同济大学 中国建筑西北设计研究院 中国建筑西南设计研究院 中南建筑设计院 山东省建筑设计研究院 深圳市建筑设计研究总院 新疆建筑设计研究院 贵州省建筑设计研究院

中建(北京)国际设计顾问有限公司华南理工大学建筑设计研究院 开利空调销售服务(上海)有限公司特灵空调系统(中国)有限公司 同方股份有限公司 丹佛斯(上海)自动控制有限公司 际高建业有限公司 新疆绿色使者空气环境技术有限公司北京普来福环境技术有限公司 昆山台佳机电有限公司 杭州华电华源环境工程有限公司 远大空调有限公司 安徽省宁国安泽电工有限公司 广东美的商用空调设备有限公司 北京天正工程软件有限公司 北京鸿业同行科技有限公司 西门子楼宇科技(天津)有限公司欧文斯科宁(中国)投资有限公司北京联合迅杰科技有限公司 妥思空调设备(苏州)有限公司

空气状态参数计算关系式

1.1 计算机程序编制的常用公式 为了满足空调系统和设备进行数学模拟的需要,必须根据湿空气各状态之间的关系式编制计算程序。在实际工程中多利用测定空气干、湿球温度的方法,再计算其它参数,以下按这种做法,顺序给出编制计算机程序用的各种关系式。 1) 输入量:t 、t S 、B 、V 2) 输出量:P q,b 、P q 、?、d 、i 、ρ、 l υ、l t 3) 关系式: a) T=273.15+t ● 当t=-100℃~0℃时 234,1234576ln()/ln()q b p C T C C T C T C T C T C T =++++++ 式中: 5359.56741-=C 3925247.62=C 851020747825.0-?=C 23109677843.0-?-=C 126109484024.0-?-=C 641062215701.0-?=C 1635019.47=C ● 当t=0~200℃时 )ln(/)ln(133122111098,T C T C T C T C C T C p b q +++++= 式中: 2206.58008-=C 4111041764768.0-?=C 3914993.19=C 7121014452093.0-?-=C 04860239.010-=C 5459673.613=C 以上公式用)()ln(,T f p b q =表示。 b) B t t A p p s b q q )(',--= 式中:)()'ln(,s b q T f p = s s T T +=15.273 0.00001(65 6.75)A u =+ U 为通过湿球温度计的空气流速 式中B ,q p 及b q p ,的单位为Pa c) ,q q b p p φ= d) 干空气q q kg kg p B p d /622.0-=或干空气q q kg g p B p d /622-= e) 干空气kg kJ t d t i /)84.12501(001.001.1++= T p T B q 00132.000348.0-=ρ

空气比热容温度对照表

干空气的物理性质 温度t/℃\x09密度ρ/kg·m-3 比定压热容cp/kJ·kg-1·K-1\x09导热系数λ/10-2W·m-1·K-1\x09 粘度μ/10-5Pa·s\x09普兰德数Pr 质量的物质,在温度升高时,所吸收的热量与该物质的质量和升高的温度乘积之比,称做这种物质的比热容(比热),用符号c表示。其国际单位制中的单位是焦耳每千克开尔文或焦耳每千克每摄氏度。 J是指焦耳,K是指热力学温标,即令1千克的物质的温度上升(或下降)1开尔文所需的能量。 根据此定理,便可得出以下公式:Q为吸收(或放出)的热量;m 是物体的质量,ΔT是吸热(或放热)后温度的变化量,初中的教材里把ΔT写成Δt,其实这是不规范的(我们生活中常用℃作为温度的单位,很少用K,而且ΔT=Δt,因此中学阶段都用Δt,但国际或更高等的科学领域仍用ΔT)。 物质的比热容与所进行的过程有关。 在工程应用上常用的有定压比热容Cp、定容比热容Cv和饱和状态比热容三种。 定压比热容Cp:是单位质量的物质在压力不变的条件下,温度升高或下降1℃或1K所吸收或放出的能量。 定容比热容Cv:是单位质量的物质在容积(体积)不变的条件下,温度升高或下降1℃或1K吸收或放出的能量。

饱和状态比热容:是单位质量的物质在某饱和状态时,温度升高或下降1℃或1K所吸收或放出的热量。 比热容是指没有相变化和化学变化时,一定量均相物质温度升高1K所需的热量。 利用比热容的概念可以类推出表示1mol物质升高1K所需的热量的摩尔热容。与比热相关的热量计算公式:Q=cmΔT 即Q吸(放)=cm(T初-T末)其中c为比热,m为质量,Q为能量热量。吸热时为Q=cmΔT升(用实际升高温度减物体初

室内空气计算参数的确定

§3-1室内空气计算参数的确定 一、计算空调冷(热)、湿负荷的目的 为了保持室内良好的空气环境,及时消除室内、外干扰因素而形成的冷(热)、湿负荷,必须进行空调负荷计算,以便选取合适的空气处理设备以及制冷机。 二、室内空气计算参数 1、舒适性空调 根据我国《采暖通风与空气调节设计规范》(GBJ19-87)中的规定: 夏季:温度=26±20C,相对湿度=40~65%,风速≤0.3m/s; 冬季:温度=20±20C,相对湿度=40~60%,风速≤0.2m/s。 2、工艺性空调 由生产工艺过程的特殊要求决定。 §3-2室外空气计算参数的确定 确定室外空气计算参数的作用: (1)计算通过围护结构传入室内的热量或室内传至室外的热量时,要以室外空气计算温度为依据; (2)加热或冷却满足卫生和正压需要的新风所需要的热量或冷量与室外空气计算干湿球温度有关。 一、夏季空调室外空气计算参数 1、夏季空调室外空气计算干湿球温度 确定夏季空调室外空气计算干湿球温度的作用:(1)作为新风符合的计算温度;(2)作为围护结构传热的最高计算温度;(3)确定室外新风状态点。 2、夏季空调室外空气计算日平均温度和逐时温度 其作用是:计算围护结构传热应当考虑室外温度的波动的影响以及围护结构对温度的衰减和延迟作用,应按照不稳定传热计算。因此,除了干球温度以外,还需要知道设计日的室外日平均温度和逐时温度。 二、冬季空调室外空气计算参数 1、冬季空调室外空气计算干球温度 冬季空调系统加热加湿所需费用小于夏季冷却减湿费用,为了便于计算,冬季围护结构传热可按稳定传热计算,而不考虑室外气温的波动,只给定一个室外空气计算干球温度作为来计算围护结构传热和新风负荷。 2、冬季空调室外空气计算相对湿度 由于冬季室外空气的含湿量远较夏季小,其变化也很小,只采用室外空气计算相对湿度确定室外新风计算状态。 以上室外空气计算参数均可以在空气调节设计手册中查到。 <<返回 §2-4空调房间的冷(热)、湿负荷计算 一、瞬时得热量与冷负荷的关系及计算 结论:得热量和冷负荷有时相等,有时不等。围护结构的蓄热特性决定了两者的关系。对流得热可直接形成冷负荷,而辐射得热先传给室内物体蓄热,不能立刻成为冷负荷。当室内物体的蓄热饱和后,辐射得热才全部成为冷负荷。

原始气象数据对建筑设计 室外计算参数的影响

西安建大科技/总63期/2006年第1期 * 作者简介:张 明,男,西安建筑科技大学建筑学院硕士研究生。 18 ●科研论文 原始气象数据对建筑设计 室外计算参数的影响 张明* 杨柳 (西安建筑科技大学建筑学院) 【摘要】 本文根据暖通规范的室外空气计算参数的确定方法,对1971-2000年的原始气象资料进行了统计计算,将得出的室外空气计算参数与暖通规范中的室外空气计算参数进行了比较分析。 [关键词] 室外空气计算参数 暖通规范 建筑设计 原始气象数据 1 室外计算参数的确定 在采暖热负荷计算中,如何确定室外计算温度等参数是一个相当重要的问题。单纯从技术观点来看,使采暖系统的最大出力,恰好等于当地出现最冷天气时所需要的热负荷,是最理想的,但这往往同采暖系统的经济性相违背。研究一下气象资料就可以看出,最冷的天气并不是每年都会出现。如果采暖设备是根据历年最不利条件选择的,即把室外计算温度定得过低,那么,在采暖运行期的绝大多数时间里,就会显得设备能力富裕过多,造成浪费;反之,如果把室外计算温度定得过高,则在较长的时间里不能保证必要的室内温度,达不到采暖的目的和要求。因此,正确地确定和合理地采用室外计算参数是一个技术与经济统一的问题。 《采暖通风与空气调节设计规范》(GB50019-2003)(以下简称暖通规范)对室外空气计算参数的具体内容和统计方法都提出了一定的要求,室外计算参数的统计年份 宜取近30年,不足30年者,按照实有年份采用,但不得少于10年,本文涉及的194个站点的实有年份均超过10年,大部分均为1971-2000年的观测数据,有些站点为1951-2000年的观测数据,因此完全满足规范的统计要求。下面分别介绍各项参数的含义和统计方法。 1、采暖室外计算温度 应采用历年平均不保证5天的日平均温度 2、冬季通风室外计算温度 应采用累年最冷月平均温度。“累年最冷月”,系指累年逐月平均气温最低的月份。 3、夏季通风室外计算温度 采用历年最热月14时的月平均温度的平均值。 4、夏季通风室外计算相对湿度 采用历年最热月14时的月平均相对湿度的平均值。 5、冬季空气调节室外计算温度采用历年平均不保证1天的日平均温度。 6、冬季空气调节室外计算相对湿度 采用累年最冷月平均相对湿度。

室外空气计算参数_secret

室外空气计算参数 1.1.1 采暖、通风和空气调节系统设计所采用的室外空气计算参数可参照《采暖通风与空气调节设计规范》(GB 50019—2003)。 1.1.2 采暖室外计算温度应采用历年平均不保证5天的日平均温度。 1.1.3 注:①冬季使用的局部送风、补偿局部排风和消除有害物质的全面通风等的进风应采用采暖室外计算温度。 ②“累年”指多年(不少于3年)。特指整编气象资料时,所采用的以往一段连续年份的累计。以下各条有“累年”词者,与此同义。 1.1.4 夏季通风通风室外计算温度应采用历年最热月14时的月平均温度的平均值。注:“历年”指逐年。特指整编气象资料时,所采用的以往一段连续年份的累计。以下各条有“历年”词者,与此同义。 1.1.5 夏季通风室外计算相对湿度应采用历年最热月14时的月平均相对温度的平均值。 1.1.6 冬季空气调节室外计算温度应采用历年平均不保证1天的日干均温度。注:冬季不用空气调节系统而仅用采暖系统时,应采用采暖室外计算温度。 1.1.7 冬季空气凋节室外计算相对湿度应采用累年最冷月平均相对温度。 1.1.8 夏季空气调节室外计算干球温度应采用历年干均不保证50h的干球温度。夏季空气调节新风的计算温度采用夏季空气调节室外计算干干球温度。注:当室内温湿度必须全年保证时,应另外确定空气调节计算参数。

1.1.9 夏季空气调节室外计算相对湿度应采用历年平均不保证50h的湿球温度。 1.1.10 夏季空气凋节室外计算日干均温度应采用历年平均不保证5天的日平均温度。 1.1.11 Δtr=(twg-twp)/0.52 表1.2.11室外温度逐时变化系数

室内和室外空气设计参数

第四章室内和室外空气设计参数 4. 1内空气设计参数 4.1.1舒适性空调室内空气设计参数 舒适性空调泛指生活环境中如居室、办公室、餐厅等对温度、湿度没有太高的精度要求的空调方式。舒适性空调室内空气的温度、相对湿度要求见表4-1所示。 表4-1 舒适性空调室内设计温湿度及风速 部分建筑的室内空气设计温、湿度见表4-2所示。民用建筑空气调节房间室内计算温度见表1-4-3所示 表4-2 部分建筑的室内空气设计温、湿度 表4-3民用建筑空气调节房间室内计算温度

4.1.2工艺性空调室内空气设计参数 工艺性空调室内空气设计参数见表4-4至表4-5所示 表4-4工艺性空调室内空气设计参数

表4-5 机械工业部分室内参数要求 4.1.3电子计算机房的温、湿度要求 电子计算机房的温、湿度标准值见表4-6所示。电子计算机房的温、湿度条件见表4-7所示。 表4-6 温、湿度标准值 表4-7 电子计算机房的温、湿度条件

房间名称 温度 相对湿度% 4.2室外空气设计参数 1、 夏季空调室外计算干球温度 t K 室外气象参数可按下面简化公式计算 夏季空调室外计算干球温度 t K = 0.47 t x + 0.53 t r ( C ) 式中t x ――累年最热月平均温度 (C ) t r ――累年极端最高温度 (C ) 2、 夏季空调室的计算湿球温度 t s (平均每年不保证 50小时) 湿球温度t s 应分区计算 (1) 北部地区 黑龙江、吉林、辽宁、新疆、青海、甘肃、宁夏、内蒙和西藏等省、自治区 计算公式如下 t s = 0.72 t sx + 0.28 t sr ( C ) (2) 中部地区

空气物性参数表

空气物性参数表 空气是指地球大气层中的气体混合。它主要由78%的氮气、21%氧气、还有1%的稀有气体和杂质组成的混合物。空气的成分不是固定的,随着高度的改变、气压的改变,空气的组成比例也会改变。但是长期以来人们一直认为空气是一种单一的物质,直到后来法国科学家拉瓦锡通过实验首先得出了空气是由氧气和氮气组成的结论。19世纪末,科学家们又通过大量的实验发现,空气里还有氦、氩、氙、氖等稀有气体。 在自然状态下空气是无味无臭的。 空气中的氧气对于所有需氧生物来说是必需。所有动物都需要呼吸氧气,植物利用空气中的二氧化碳进行光合作用,二氧化碳是近乎所有植物的唯一的碳的来源。 氮 氮气是一种化学上非常惰性的气体,但不属于惰性气体。只有通过固氮它才进入氮循环,能够被生物所利用。生物的氨基酸需要氮。通过反硝化作用氮回到空气中。在技术上人们使用哈柏法将空气中的氮加工为肥料。固氮与反硝化作用基本上互相抵消,对空气中的氮的浓度没有影响。在深潜的过程中(潜水深度大于60米)压缩空气瓶中的氮会被氦代替,否则的话血液中溶的氮会导致氮麻醉。

氧 氧是一种重要的氧化剂,它使得空气具有氧化的作用。几乎所有化学燃烧和生理呼吸都需要氧。空气中的氧是通过光合作用产生的。在整个地球历史中通过光合作用所产生的氧的总量约是今天空气中氧的总量的20倍。 氩 氩是一种惰性气体。它基本上不参加化学反应。因此在焊接时氩用来当作保护气。此外由于它相对于空气而言导热性比较差,因此它也被用来作为气密窗玻璃之间的隔热气体。 水蒸气 按照空气湿度的不同空气中可以含0至4%体积比的水蒸气。一般空气中水蒸气的含量在0.1%体积比(极地)至3%体积比(热带)之间。地面附近的水蒸气平均含量为1.3%。

第二节 空气的物理性质

第二节 空气的物理性质、气体状态方程及流动规律 一、空气的组成成份及空气的物理性质 1.空气的组成成份 大气中的空气主要是由氮、氧、氩、二氧化碳,水蒸气以及其它一些气体等若干种气体混合组成的。含有水蒸气的空气为湿空气。大气中的空气基本上都是湿空气。而把不含有水蒸气的空气称为干空气。在距地面20 km 以内,空气组成几乎相同。在基准状态(0℃,绝对压力为101325 Pa ,相对湿度为0)下地面附近的干空气的组成见表11-1。 空气中氮气所占比例最大,由于氮气的化学性质不活泼,具有稳定性,不会自燃, 所以空气作为工作介质可以用 在易燃、易爆场所。 2.空气的密度 单位体积空气的质量,称为空气的密度ρ(kg/m 3),其公式为 ρ =m / V (11-1) 式中 ρ — 空气密度; m — 空气的质量(kg ); V — 空气的体积(m 3 )。 气体密度与气体压力和温度有关,压力增加,密度增加,而温度上升,密度减少。在基准状态下,干空气的密度为 1.293 kg/m 3,在温度 t (℃)、压力(MPa )下的干空气的密度 可用下式计算 (11-2) 式中 ρ0 — 基准状态下的干空气密度; p — 绝对压力(MPa ); ρ — 干空气的密度; t — 温度(℃),其中(273+t )为绝对温度(K )。 对于湿空气的密度可用下式计算 (11-3) 式中 ρ' — 湿空气的密度; p — 湿空气的全压力(MPa ); φ — 空气的相对湿度(%); p b — 温度为t ℃时饱和空气中水蒸气的分压力(MPa )。 3.空气的粘性 空气在流动过程中产生的内摩擦阻力的性质叫做空气的粘性,用粘度表示其大小。空气的粘度受压力的影响很小,一般可忽略不计。随温度的升高,空气分子热运动加剧,因此,空气的粘度随温度的升高而略有增加。粘度随温度的变化关系见表11-2。 气体与液体和固体相比具有明显的压缩性和膨胀性。空气的体积较易随压力和温度的变化而变化。例如,对于大气压下的气体等温压缩,压力增大0.1 MPa ,体积减小一半。而将油的压力增大18 MPa ,其体积仅缩小1%。在压力不变、温度变化 1℃时,气体体积变化约1/273,而水的体积只改变1/20000,空气体积变化的能力是水的73倍。气体体积在外界作用下容易产生变化,气体的可压缩性导致气压传动系统刚度差,定位精度低。 气体体积随温度和压力的变化规律遵循气体状态方程。 5.空气的湿度

详细干空气物性特性参数

干空气物性特性参数 t ℃T K T K ρ Kg/m3 Cp KJ/Kg. ℃ 102λ W/m.℃ 106μ Pa.s Pr 0 273.15 1.293 1.005 2.44 17.2 0.707 1 274.15 1.2884 1.005 2.447 17.24 0.7068 2 275.15 1.2838 1.005 2.454 17.28 0.7066 3 276.15 1.2792 1.005 2.461 17.32 0.7064 4 277.1 5 1.274 6 1.005 2.468 17.36 0.7062 5 278.15 1.27 1.005 2.475 17.4 0.706 6 279.15 1.2654 1.005 2.482 17.44 0.7058 7 280.15 1.2608 1.005 2.489 17.48 0.7056 8 281.15 1.2562 1.005 2.496 17.52 0.7054 9 282.15 1.2516 1.005 2.503 17.56 0.7052 10 283.15 1.247 1.005 2.51 17.6 0.705 11 284.15 1.2428 1.005 2.518 17.65 0.7048 12 285.15 1.2386 1.005 2.526 17.7 0.7046 13 286.15 1.2344 1.005 2.534 17.75 0.7044 14 287.15 1.2302 1.005 2.542 17.8 0.7042 15 288.15 1.226 1.005 2.55 17.85 0.704 16 289.15 1.2218 1.005 2.558 17.9 0.7038 17 290.15 1.2176 1.005 2.566 17.95 0.7036 18 291.15 1.2134 1.005 2.574 18 0.7034 19 292.15 1.2092 1.005 2.582 18.05 0.7032 20 293.15 1.205 1.005 2.59 18.1 0.703 21 294.15 1.201 1.005 2.598 18.15 0.7028 22 295.15 1.197 1.005 2.606 18.2 0.7026 23 296.15 1.193 1.005 2.614 18.25 0.7024 24 297.15 1.189 1.005 2.622 18.3 0.7022 25 298.15 1.185 1.005 2.63 18.35 0.702 26 299.15 1.181 1.005 2.638 18.4 0.7018 27 300.15 1.177 1.005 2.646 18.45 0.7016 28 301.15 1.173 1.005 2.654 18.5 0.7014 29 302.15 1.169 1.005 2.662 18.55 0.7012 30 303.15 1.165 1.005 2.67 18.6 0.701 31 304.15 1.1613 1.005 2.679 18.65 0.7008 32 305.15 1.1576 1.005 2.688 18.7 0.7006 33 306.15 1.1539 1.005 2.697 18.75 0.7004 34 307.15 1.1502 1.005 2.706 18.8 0.7002 35 308.15 1.1465 1.005 2.715 18.85 0.7 36 309.15 1.1428 1.005 2.724 18.9 0.6998 37 310.15 1.1391 1.005 2.733 18.95 0.6996

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