Mae 423 Project
Given x or y (m) k (w/m*K) Qv (w/m^3) h (w/m^2*K) Te © Bi
0.1 Initial guess (K)= 30 150000 70 333 0.23 Nodal Temp. Iteration 1 2 1 373.000 373.000 2 385.500 385.500 3 391.750 394.875 4 396.438 457.902 5 420.951 463.537 6 423.776 512.091 7 444.335 517.732 8 447.438 554.817 9 463.596 560.450 10 466.639 589.573 11 479.496 594.750 12 482.227 618.151 13 492.644 622.675 14 494.986 641.765 15 503.537 645.614 16 505.502 661.328 17 512.579 664.555 18 514.208 677.559 19 520.090 680.245 20 521.434 691.037 21 526.335 693.263 22 527.440 702.232 23 531.527 704.074 24 532.435 711.534 25 535.844 713.056 26 536.590 719.263 27 539.435 720.521 28 540.048 725.686 29 542.420 726.725 30 542.924 731.022 31 544.902 731.882 32 545.317 735.456 33 546.965 736.167 34 547.307 739.140 35 548.680 739.728 36 548.962 742.201 37 550.105 742.688 38 550.338 744.743 39 551.290 745.147 40 551.482 746.856 41 552.274 747.190 42 552.433 748.611 43 553.092 748.887
373
3 373.000 385.500 506.866 514.230 600.292 607.582 671.263 678.454 728.067 734.770 774.482 780.459 812.719 817.906 844.332 848.761 870.515 874.261 892.220 895.371 910.223 912.864 925.161 927.370 937.558 939.402 947.848 949.386 956.389 957.672 963.480 964.548 969.367 970.257 974.254 974.995 978.312 978.929 981.682 982.195 984.479 984.906 986.802
David Walton 16-Mar-07
4 373.000 385.500 393.505 502.038 508.979 594.183 600.688 668.466 674.533 729.270 734.813 779.350 784.316 820.704 825.084 854.894 858.715 883.184 886.488 906.603 909.442 925.999 928.425 942.069 944.133 955.385 957.137 966.424 967.905 975.577 976.826 983.167 984.219 989.462 990.346 994.684 995.426 999.016 999.638 1002.611 1003.132 1005.594 1006.030
5 373.000 385.500 496.099 505.228 612.932 620.558 711.597 718.308 793.695 799.730 861.706 867.153 917.962 922.855 964.477 968.836 1002.941 1006.790 1034.755 1038.125 1061.077 1064.006 1082.864 1085.393 1100.903 1103.075 1115.843 1117.700 1128.220 1129.801 1138.478 1139.819 1146.980 1148.115 1154.029 1154.987 1159.875 1160.682 1164.723 1165.401 1168.744 1169.314 1172.081
6 373.000 385.500 391.750 447.050 451.504 502.029 505.687 549.039 552.216 588.383 591.220 621.047 623.602 648.087 650.383 670.450 672.499 688.943 690.756 704.237 705.829 716.891 718.277 727.363 728.562 736.032 737.064 743.212 744.095 749.159 749.913 754.088 754.728 758.173 758.714 761.559 762.017 764.367 764.753 766.696 767.020 768.627 768.900
7 373.000 385.500 394.875 429.904 435.566 469.249 476.019 503.569 510.104 532.413 538.156 556.424 561.269 576.385 580.396 592.987 596.277 606.802 609.491 618.302 620.496 627.875 629.665 635.844 637.305 642.475 643.670 647.994 648.971 652.584 653.386 656.403 657.061 659.579 660.119 662.219 662.664 664.415 664.781 666.240 666.541 667.757 668.005
44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95
553.223 553.771 553.880 554.336 554.426 554.805 554.880 555.195 555.257 555.519 555.570 555.788 555.830 556.011 556.046 556.196 556.226 556.351 556.375 556.479 556.499 556.585 556.602 556.673 556.687 556.747 556.758 556.808 556.817 556.858 556.866 556.900 556.907 556.935 556.940 556.964 556.969 556.988 556.992 557.008 557.011 557.025 557.027 557.039 557.041 557.050 557.052 557.060 557.061 557.067 557.069 557.074
750.068 750.298 751.279 751.469 752.285 752.442 753.120 753.251 753.814 753.923 754.391 754.480 754.869 754.944 755.267 755.329 755.597 755.648 755.871 755.914 756.099 756.134 756.288 756.318 756.445 756.470 756.576 756.596 756.684 756.701 756.774 756.788 756.849 756.861 756.911 756.921 756.963 756.971 757.005 757.012 757.041 757.047 757.071 757.075 757.095 757.099 757.115 757.119 757.132 757.135 757.146 757.149
987.157 988.731 989.026 990.333 990.578 991.663 991.867 992.767 992.937 993.685 993.825 994.446 994.563 995.079 995.176 995.604 995.685 996.040 996.107 996.402 996.458 996.703 996.749 996.953 996.991 997.160 997.192 997.332 997.359 997.476 997.498 997.594 997.613 997.693 997.708 997.775 997.788 997.843 997.853 997.899 997.908 997.946 997.954 997.985 997.991 998.018 998.023 998.045 998.049 998.067 998.070 998.085
1008.070 1008.434 1010.125 1010.428 1011.830 1012.084 1013.246 1013.457 1014.421 1014.597 1015.397 1015.543 1016.207 1016.329 1016.879 1016.981 1017.437 1017.522 1017.901 1017.972 1018.286 1018.345 1018.606 1018.654 1018.871 1018.911 1019.091 1019.125 1019.274 1019.302 1019.426 1019.450 1019.552 1019.572 1019.657 1019.673 1019.744 1019.758 1019.816 1019.828 1019.876 1019.886 1019.926 1019.934 1019.968 1019.974 1020.002 1020.007 1020.031 1020.035 1020.054 1020.058
1172.558 1174.849 1175.249 1177.146 1177.481 1179.052 1179.332 1180.635 1180.868 1181.948 1182.143 1183.038 1183.200 1183.943 1184.078 1184.694 1184.807 1185.317 1185.412 1185.835 1185.914 1186.265 1186.330 1186.622 1186.676 1186.918 1186.963 1187.164 1187.202 1187.369 1187.400 1187.538 1187.564 1187.679 1187.701 1187.796 1187.814 1187.893 1187.908 1187.974 1187.986 1188.041 1188.051 1188.097 1188.105 1188.143 1188.150 1188.181 1188.187 1188.213 1188.218 1188.240
770.230 770.459 771.559 771.751 772.663 772.823 773.578 773.712 774.338 774.450 774.969 775.062 775.492 775.570 775.927 775.992 776.287 776.342 776.587 776.632 776.835 776.873 777.042 777.073 777.213 777.239 777.356 777.377 777.474 777.492 777.572 777.587 777.653 777.666 777.721 777.731 777.777 777.786 777.824 777.831 777.863 777.868 777.895 777.900 777.921 777.925 777.944 777.947 777.962 777.965 777.977 777.980
669.017 669.223 670.065 670.235 670.936 671.076 671.659 671.775 672.260 672.356 672.760 672.839 673.174 673.240 673.519 673.573 673.805 673.850 674.043 674.081 674.241 674.272 674.405 674.430 674.541 674.562 674.654 674.672 674.748 674.763 674.826 674.839 674.891 674.901 674.945 674.954 674.990 674.997 675.027 675.033 675.058 675.063 675.084 675.088 675.105 675.108 675.123 675.125 675.137 675.139 675.149 675.151
96 97 98 99 100
557.075 557.079 557.080 557.084 557.085
757.158 757.160 757.168 757.169 757.176
998.088 998.101 998.103 998.114 998.116
1020.074 1020.077 1020.090 1020.093 1020.104
1188.244 1188.262 1188.265 1188.280 1188.283
777.990 777.992 778.001 778.002 778.009
675.160 675.161 675.168 675.169 675.175
3 Project
8 373.000 385.500 509.991 520.480 604.120 616.568 680.669 692.909 743.630 754.591 795.626 805.016 838.696 846.562 874.442 880.958 904.143 909.511 928.836 933.247 949.371 952.992 966.448 969.421 980.650 983.092 992.460 994.468 1002.279 1003.931 1010.442 1011.803 1017.228 1018.350 1022.869 1023.794 1027.556 1028.320 1031.452 1032.083 1034.689 1035.210 1037.379
9 373.000 833.464 845.541 1018.227 1034.813 1155.778 1172.395 1265.986 1281.097 1356.086 1369.274 1430.377 1441.632 1491.861 1501.346 1542.837 1550.773 1585.136 1591.750 1620.253 1625.752 1649.412 1653.979 1673.629 1677.420 1693.742 1696.887 1710.447 1713.056 1724.321 1726.486 1735.845 1737.641 1745.416 1746.906 1753.365 1754.602 1759.967 1760.993 1765.450 1766.302 1770.004 1770.711
10 373.000 380.022 582.185 593.459 740.510 751.612 868.003 878.371 972.318 981.754 1058.212 1066.650 1129.132 1136.575 1187.766 1194.261 1236.279 1241.900 1276.439 1281.271 1309.697 1313.830 1337.249 1340.770 1360.081 1363.069 1379.007 1381.535 1394.697 1396.831 1407.709 1409.506 1418.500 1420.011 1427.452 1428.720 1434.878 1435.942 1441.040 1441.931 1446.153 1446.898 1450.397
11 373.000 790.397 812.658 1079.639 1098.750 1327.176 1343.857 1534.275 1549.170 1706.170 1719.579 1848.451 1860.503 1966.119 1976.878 2063.420 2072.945 2143.893 2152.255 2210.469 2217.753 2265.566 2271.870 2311.179 2316.603 2348.954 2353.597 2380.246 2384.205 2406.175 2409.539 2427.666 2430.515 2445.483 2447.890 2460.256 2462.285 2472.508 2474.215 2482.670 2484.104 2491.101 2492.303
12 373.000 385.500 496.099 504.790 599.185 606.190 688.559 694.558 763.838 769.151 826.484 831.255 878.386 882.677 921.323 925.161 956.830 960.236 986.195 989.192 1010.486 1013.103 1030.587 1032.856 1047.226 1049.182 1061.004 1062.681 1072.417 1073.849 1081.874 1083.091 1089.710 1090.743 1096.207 1097.080 1101.594 1102.330 1106.061 1106.680 1109.766 1110.286 1112.839
13 373.000 385.500 394.875 402.345 428.924 440.731 466.271 477.070 499.425 508.396 527.572 534.835 551.199 557.034 570.968 575.648 587.487 591.243 601.282 604.302 612.796 615.229 622.399 624.364 630.407 631.997 637.080 638.370 642.639 643.688 647.268 648.123 651.122 651.820 654.329 654.900 656.997 657.465 659.217 659.601 661.064 661.378 662.599
14 373.000 385.500 396.630 460.448 482.357 535.558 555.490 600.147 616.714 654.431 667.882 699.831 710.673 737.756 746.477 769.420 776.438 795.846 801.501 817.891 822.456 836.273 839.966 851.594 854.589 864.360 866.792 874.991 876.972 883.842 885.458 891.210 892.530 897.341 898.421 902.441 903.327 906.683 907.410 910.211 910.808 913.144 913.636
15 373.000 380.022 490.296 514.791 589.120 612.001 670.409 689.465 737.624 753.158 793.499 806.081 840.051 850.220 878.862 887.080 911.220 917.867 938.194 943.578 960.671 965.040 979.395 982.948 994.989 997.883 1007.970 1010.332 1018.775 1020.706 1027.765 1029.346 1035.244 1036.540 1041.464 1042.529 1046.637 1047.512 1050.938 1051.658 1054.514 1055.107 1057.486
16 373.000 385.500 394.875 402.345 422.003 437.276 453.772 470.984 483.766 500.445 510.300 525.543 533.194 546.730 552.717 564.542 569.259 579.481 583.218 591.989 594.963 602.449 604.827 611.188 613.095 618.484 620.019 624.570 625.809 629.644 630.647 633.873 634.687 637.396 638.058 640.330 640.869 642.772 643.212 644.804 645.164 646.495 646.790
17 373.000 385.500 396.630 441.812 470.066 502.659 533.239 557.410 587.045 605.384 632.628 646.761 671.078 682.093 703.410 712.066 730.535 737.382 753.253 758.697 772.256 776.604 788.135 791.621 801.393 804.197 812.454 814.716 821.677 823.508 829.364 830.849 835.768 836.976 841.101 842.085 845.540 846.344 849.235 849.892 852.309 852.847 854.866
1037.810 1039.614 1039.970 1041.470 1041.766 1043.013 1043.257 1044.294 1044.497 1045.359 1045.527 1046.243 1046.382 1046.978 1047.093 1047.588 1047.683 1048.095 1048.174 1048.516 1048.581 1048.865 1048.920 1049.156 1049.201 1049.397 1049.434 1049.597 1049.628 1049.763 1049.789 1049.902 1049.923 1050.016 1050.034 1050.112 1050.126 1050.191 1050.203 1050.257 1050.267 1050.311 1050.320 1050.356 1050.364 1050.394 1050.400 1050.425 1050.430 1050.451 1050.455 1050.473
1773.787 1774.374 1776.928 1777.415 1779.537 1779.941 1781.704 1782.039 1783.503 1783.782 1784.998 1785.229 1786.239 1786.431 1787.270 1787.429 1788.126 1788.258 1788.837 1788.947 1789.427 1789.518 1789.917 1789.993 1790.325 1790.388 1790.663 1790.715 1790.944 1790.987 1791.177 1791.213 1791.371 1791.401 1791.532 1791.556 1791.665 1791.686 1791.776 1791.793 1791.868 1791.882 1791.945 1791.957 1792.008 1792.018 1792.061 1792.069 1792.105 1792.112 1792.141 1792.147
1451.019 1453.919 1454.438 1456.842 1457.276 1459.268 1459.630 1461.282 1461.584 1462.955 1463.206 1464.343 1464.552 1465.495 1465.670 1466.452 1466.597 1467.247 1467.367 1467.906 1468.007 1468.454 1468.538 1468.909 1468.978 1469.287 1469.344 1469.600 1469.648 1469.861 1469.900 1470.077 1470.110 1470.256 1470.284 1470.405 1470.428 1470.529 1470.548 1470.632 1470.648 1470.718 1470.731 1470.788 1470.799 1470.847 1470.856 1470.896 1470.904 1470.937 1470.943 1470.971
2498.096 2499.103 2503.900 2504.743 2508.717 2509.421 2512.714 2513.303 2516.032 2516.523 2518.786 2519.196 2521.072 2521.414 2522.970 2523.254 2524.545 2524.782 2525.853 2526.051 2526.939 2527.103 2527.841 2527.978 2528.589 2528.703 2529.211 2529.306 2529.727 2529.806 2530.156 2530.221 2530.511 2530.566 2530.807 2530.852 2531.052 2531.090 2531.256 2531.287 2531.425 2531.451 2531.566 2531.587 2531.683 2531.701 2531.779 2531.794 2531.860 2531.872 2531.927 2531.937
1113.276 1115.389 1115.755 1117.505 1117.811 1119.260 1119.517 1120.718 1120.932 1121.927 1122.106 1122.931 1123.080 1123.764 1123.888 1124.456 1124.559 1125.030 1125.116 1125.507 1125.579 1125.902 1125.962 1126.231 1126.281 1126.504 1126.545 1126.731 1126.765 1126.919 1126.947 1127.075 1127.099 1127.205 1127.224 1127.312 1127.329 1127.402 1127.415 1127.476 1127.487 1127.538 1127.547 1127.589 1127.597 1127.631 1127.638 1127.667 1127.672 1127.696 1127.700 1127.720
662.858 663.875 664.088 664.936 665.112 665.818 665.963 666.551 666.671 667.161 667.259 667.667 667.748 668.088 668.155 668.437 668.493 668.727 668.774 668.969 669.007 669.169 669.201 669.336 669.362 669.474 669.496 669.589 669.607 669.684 669.699 669.763 669.776 669.829 669.840 669.884 669.892 669.929 669.936 669.967 669.973 669.998 670.003 670.024 670.028 670.046 670.049 670.064 670.067 670.079 670.081 670.091
915.582 915.988 917.609 917.943 919.294 919.570 920.695 920.922 921.858 922.046 922.825 922.980 923.628 923.757 924.296 924.402 924.850 924.938 925.311 925.384 925.694 925.754 926.012 926.062 926.276 926.317 926.495 926.530 926.677 926.706 926.829 926.852 926.954 926.974 927.059 927.075 927.146 927.159 927.218 927.229 927.277 927.287 927.327 927.335 927.368 927.375 927.403 927.408 927.431 927.436 927.455 927.458
1057.975 1059.956 1060.359 1062.009 1062.342 1063.715 1063.990 1065.132 1065.360 1066.310 1066.499 1067.289 1067.445 1068.102 1068.231 1068.777 1068.884 1069.338 1069.427 1069.804 1069.878 1070.192 1070.252 1070.513 1070.564 1070.780 1070.822 1071.002 1071.037 1071.186 1071.215 1071.340 1071.363 1071.467 1071.486 1071.572 1071.589 1071.660 1071.674 1071.733 1071.744 1071.793 1071.803 1071.844 1071.851 1071.885 1071.892 1071.920 1071.925 1071.949 1071.953 1071.973
647.901 648.143 649.071 649.270 650.043 650.207 650.852 650.987 651.524 651.635 652.083 652.175 652.547 652.623 652.933 652.996 653.254 653.305 653.520 653.563 653.742 653.777 653.926 653.955 654.078 654.103 654.205 654.225 654.311 654.327 654.398 654.412 654.471 654.483 654.532 654.541 654.582 654.590 654.624 654.630 654.658 654.664 654.687 654.691 654.711 654.715 654.731 654.734 654.747 654.750 654.761 654.763
855.308 856.993 857.356 858.762 859.060 860.232 860.477 861.454 861.656 862.470 862.637 863.315 863.452 864.016 864.130 864.600 864.693 865.084 865.162 865.487 865.551 865.821 865.874 866.099 866.143 866.330 866.366 866.522 866.552 866.681 866.706 866.813 866.834 866.923 866.940 867.014 867.029 867.090 867.102 867.153 867.163 867.206 867.214 867.249 867.256 867.285 867.291 867.315 867.320 867.340 867.344 867.361
1050.476 1050.491 1050.494 1050.506 1050.508
1792.172 1792.176 1792.197 1792.201 1792.218
1470.976 1470.999 1471.003 1471.022 1471.025
2531.982 2531.991 2532.028 2532.035 2532.067
1127.724 1127.741 1127.744 1127.757 1127.760
670.093 670.102 670.103 670.110 670.111
927.474 927.477 927.491 927.493 927.504
1071.976 1071.992 1071.996 1072.009 1072.011
654.772 654.774 654.782 654.783 654.789
867.364 867.378 867.380 867.392 867.394
18 373.000 380.022 455.076 486.710 528.493 561.974 590.598 622.769 643.903 673.640 689.743 716.449 728.928 752.445 762.218 782.654 790.368 807.965 814.090 829.143 834.029 846.843 850.757 861.624 864.769 873.957 876.494 884.242 886.294 892.815 894.479 899.957 901.309 905.906 907.007 910.857 911.756 914.979 915.714 918.408 919.010 921.261 921.754
19 373.000 385.500 394.875 420.854 427.113 448.697 461.425 477.582 492.312 504.421 518.972 528.180 541.644 548.741 560.792 566.322 576.902 581.245 590.420 593.854 601.745 604.474 611.218 613.397 619.135 620.881 625.746 627.149 631.261 632.394 635.861 636.777 639.695 640.437 642.888 643.492 645.548 646.040 647.763 648.164 649.605 649.934 651.139
20 373.000 385.500 470.667 480.762 527.784 548.147 579.782 604.281 627.152 651.996 669.119 692.490 705.578 726.708 736.852 755.522 763.462 779.719 785.981 800.000 804.968 816.974 820.934 831.164 834.333 843.015 845.561 852.906 854.957 861.155 862.813 868.032 869.375 873.762 874.853 878.534 879.422 882.507 883.232 885.814 886.406 888.566 889.051
21 373.000 676.169 684.911 756.658 775.344 815.111 839.222 866.206 891.583 911.289 935.730 950.609 973.033 984.482 1004.475 1013.394 1030.906 1037.915 1053.075 1058.622 1071.641 1076.053 1087.168 1090.693 1100.140 1102.968 1110.970 1113.246 1120.005 1121.843 1127.538 1129.026 1133.816 1135.023 1139.045 1140.027 1143.400 1144.200 1147.025 1147.678 1150.041 1150.576 1152.551
923.634 924.039 925.607 925.940 927.247 927.521 928.611 928.837 929.744 929.931 930.686 930.840 931.469 931.596 932.120 932.225 932.661 932.747 933.110 933.182 933.483 933.542 933.793 933.842 934.051 934.091 934.265 934.298 934.442 934.470 934.590 934.613 934.713 934.732 934.814 934.830 934.899 934.912 934.969 934.980 935.028 935.037 935.076 935.084 935.117 935.123 935.150 935.155 935.178 935.182 935.201 935.204
651.408 652.414 652.635 653.475 653.656 654.357 654.506 655.091 655.214 655.701 655.802 656.208 656.291 656.629 656.698 656.979 657.036 657.270 657.317 657.512 657.550 657.712 657.744 657.879 657.906 658.018 658.040 658.133 658.151 658.229 658.244 658.308 658.321 658.374 658.385 658.429 658.438 658.475 658.482 658.512 658.518 658.544 658.549 658.570 658.574 658.592 658.595 658.610 658.612 658.625 658.627 658.637
890.856 891.253 892.760 893.086 894.343 894.611 895.660 895.881 896.755 896.936 897.664 897.814 898.421 898.544 899.049 899.151 899.571 899.656 900.005 900.075 900.366 900.424 900.666 900.713 900.915 900.954 901.121 901.154 901.293 901.320 901.436 901.458 901.554 901.573 901.653 901.668 901.735 901.747 901.802 901.813 901.859 901.868 901.906 901.913 901.945 901.951 901.977 901.982 902.004 902.008 902.026 902.030
1152.989 1154.638 1154.998 1156.375 1156.670 1157.818 1158.061 1159.019 1159.219 1160.016 1160.181 1160.846 1160.982 1161.535 1161.647 1162.108 1162.200 1162.584 1162.660 1162.979 1163.043 1163.308 1163.360 1163.581 1163.624 1163.808 1163.844 1163.996 1164.026 1164.153 1164.177 1164.283 1164.303 1164.391 1164.408 1164.480 1164.494 1164.555 1164.566 1164.617 1164.626 1164.668 1164.676 1164.711 1164.717 1164.746 1164.752 1164.776 1164.780 1164.800 1164.804 1164.820
935.220 935.223 935.236 935.238 935.249
658.639 658.647 658.649 658.656 658.657
902.045 902.048 902.060 902.062 902.073
1164.824 1164.837 1164.840 1164.851 1164.854