APENDICES DE TABLAS, Diapositivas de Mecánica

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Fig. A.2 Gurney-Lurie chart for a flat plate (1923) Ind Eng Chem 15. Used with permission

Fig. A.3 Gurney-Lurie chart for a long cylinder (1923) Ind Eng Chem 15. Used with permission

Fig. A.5 Heisler chart for determining the midplane temperature of a flat plate (1947) T ASME 69. Used with permission

Fig. A.6 Heisler chart for determining the centerline temperature of a long cylinder (1947) T ASME 69. Used with permission

Fig. A.7 Heisler chart for determining the center temperature of a sphere (1947) T ASME 69. Used with permission

Fig. A.8 Pressure- enthalpy diagram for HFC 134a with permission from DuPont

Table A.1 (continued)

Table A.5 Error function x erf (x) erfc (x)

• 0.2 0.9900 0.
• 0.4 0.9604 0.
• 0.6 0.9120 0.
• 0.8 0.8463 0.
• 1.0 0.7652 0.
• 1.2 0.6711 0.
• 1.4 0.5669 0.
• 1.6 0.4554 0.
• 1.8 0.3400 0.
• 2.0 0.2239 0.
• 2.2 0.1104 0.
• 2.4 0.0025 0.
• 2.4048 0.0000 0.
• 2.6 0.0968 0.
• 2.8 0.1850 0.
• 3.0 0.2601 0.
• 3.2 0.3202 0.
• 3.4 0.3643 0.
• 3.6 0.3918 0.
• 3.8 0.4026 0.
• 4.0 0.3971 0.
• 4.2 0.3766 0.
• 4.4 0.3423 0.
• 4.6 0.2961 0.
• 4.8 0.2404 0.
• 5.0 0.1776 0.
• 5.2 0.1103 0.
• 5.4 0.0412 0.
• 5.5201 0.0000 0.
• 5.6 0.0270 0.
• 5.8 0.0917 0.
• 6.0 0.1506 0.
• 6.2 0.2017 0.
• 6.4 0.2433 0.
• 6.6 0.2740 0.
• 6.8 0.2931 0.
• 7.0 0.3001 0.
• 7.2 0.2951 0.
• 7.4 0.2786 0.
• 7.6 0.2516 0.
• 7.8 0.2154 0.
• 8.0 0.1717 0.
• 8.2 0.1222 0.
• 8.4 0.0692 0.
• 8.6 0.0146 0.
• 8.6537 0.0000 0. x J 0 (x) J 1 (x)
• 8.8 0.0392 0.
• 9.0 0.0903 0.
• 9.2 0.1367 0.
• 9.4 0.1768 0.
• 9.6 0.2090 0.
• 9.8 0.2323 0.
• 10.0 0.2459 0.
• 10.2 0.2496 0.
• 10.4 0.2434 0.
• 10.6 0.2276 0.
• 10.8 0.2032 0.
• 11.0 0.1712 0.
• 11.2 0.1330 0.
• 11.4 0.0902 0.
• 11.6 0.0446 0.
• 11.7915 0.0000 0.
• 11.8 0.0020 0.
• 12.0 0.0477 0.
• 12.2 0.0908 0.
• 12.4 0.1296 0.
• 12.6 0.1626 0.
• 12.8 0.1887 0.
• 13.0 0.2069 0.
• 13.2 0.2167 0.
• 13.4 0.2177 0.
• 13.6 0.2101 0.
• 13.8 0.1943 0.
• 14.0 0.1711 0.
• 14.2 0.1414 0.
• 14.4 0.1065 0.
• 14.6 0.0679 0.
• 14.8 0.0271 0.
• 14.9309 0.0000 0.
• 15.0 0.0142 0.
• 16.0 0.1749 0.
• 17.0 0.1699 0.
• 18.0 0.0134 0.
• 18.0711 0.0000 0.
• 20.0 0.1670 0.
• Bi d 1 d 2 d 3 d 4 d 5 d Table A.2 First six roots of the equation: d tan d = Bi
• 0 0 3.1416 6.2832 9.4248 12.5664 15.
• 0.10 0.3111 3.1731 6.2991 9.4354 12.5743 15.
• 0.15 0.3779 3.1886 6.3070 9.4407 12.5783 15.
• 0.20 0.4328 3.2039 6.3148 9.4459 12.5823 15.
• 0.25 0.4792 3.2191 6.3226 9.4512 12.5862 15.
• 0.30 0.5218 3.2341 6.3305 9.4565 12.5902 15.
• 0.35 0.5591 3.2489 6.3383 9.4618 12.5942 15.
• 0.40 0.5932 3.2636 6.3461 9.4670 12.5981 15.
• 0.45 0.6248 3.2780 6.3539 9.4722 12.6021 15.
• 0.50 0.6533 3.2923 6.3616 9.4775 12.6060 15.
• 0.55 0.6798 3.3064 6.3693 9.4827 12.6100 15.
• 0.60 0.7051 3.3204 6.3770 9.4879 12.6139 15.
• 0.65 0.7283 3.3341 6.3846 9.4931 12.6178 15.
• 0.70 0.7506 3.3477 6.3923 9.4983 12.6218 15.
• 0.75 0.7713 3.3611 6.3998 9.5035 12.6257 15.
• 0.80 0.7910 3.3744 6.4074 9.5087 12.6296 15.
• 0.85 0.8096 3.3873 6.4149 9.5139 12.6335 15.
• 0.90 0.8274 3.4003 6.4224 9.5190 12.6375 15.
• 0.95 0.8442 3.4130 6.4299 9.5242 12.6414 15.
• 1.0 0.8603 3.4256 6.4373 9.5293 12.6453 15.
• 1.2 0.9181 3.4742 6.4667 9.5498 12.6609 15.
• 1.4 0.9663 3.5201 6.4955 9.5700 12.6764 15.
• 1.6 1.0083 3.5636 6.5237 9.5901 12.6918 15.
• 1.8 1.0448 3.6049 6.5513 9.6099 12.7071 15.
• 2.0 1.0769 3.6436 6.5783 9.6296 12.7223 15.
• 2.2 1.1052 3.6803 6.6047 9.6489 12.7374 15.
• 2.4 1.1305 3.7151 6.6305 9.6681 12.7524 15.
• 2.6 1.1533 3.7480 6.6556 9.6870 12.7673 15.
• 2.8 1.1738 3.7792 6.6801 9.7056 12.7820 15.
• 3.0 1.1925 3.8088 6.7040 9.7240 12.7967 15.
• 3.5 1.2323 3.8761 6.7609 9.7688 12.8326 15.
• 4.0 1.2646 3.9352 6.8140 9.8119 12.8678 15.
• 4.5 1.2913 3.9873 6.8635 9.8532 12.9020 15.
• 5.0 1.3138 4.0336 6.9096 9.8928 12.9352 16.
• 6.0 1.3496 4.1116 6.9924 9.9667 12.9988 16.
• 7.0 1.3766 4.1746 7.0640 10.0339 13.0584 16.
• 8.0 1.3978 4.2264 7.1263 10.0949 13.1141 16.
• 9.0 1.4149 4.2694 7.1806 10.1502 13.1660 16.
• 10 1.4289 4.3058 7.2281 10.2003 13.2142 16.
• 12 1.4505 4.3636 7.3070 10.2869 13.3004 16.
• 14 1.4664 4.4074 7.3694 10.3586 13.3746 16.
• 16 1.4786 4.4416 7.4198 10.4184 13.4386 16.
• 18 1.4883 4.4690 7.4610 10.4688 13.4939 16.
• 20 1.4961 4.4915 7.4954 10.5117 13.5420 16.
• 25 1.5105 4.5330 7.5603 10.5947 13.6378 16.
• 30 1.5202 4.5615 7.6057 10.6543 13.7085 16.
• 35 1.5272 4.5822 7.6391 10.6989 13.7625 16.
• 40 1.5325 4.5979 7.6647 10.7334 13.8048 16.
• Table A.3 First six roots of the equation: d J 1 (d)-Bi J 0 (d) =
• Bi d 1 d 2 d 3 d 4 d 5 d
• 0 0.0348 3.8317 7.0156 10.1735 13.3237 16.
• 0.10 0.4421 3.8577 7.0298 10.1833 13.3312 16.
• 0.15 0.5375 3.8706 7.0369 10.1882 13.3349 16.
• 0.20 0.6181 3.8835 7.0440 10.1931 13.3387 16.
• 0.25 0.6861 3.8963 7.0511 10.1980 13.3424 16.
• 0.30 0.7464 3.9090 7.0582 10.2029 13.3462 16.
• 0.35 0.8026 3.9217 7.0652 10.2078 13.3499 16.
• 0.40 0.8524 3.9343 7.0723 10.2127 13.3537 16.
• 0.45 0.8984 3.9469 7.0793 10.2176 13.3574 16.
• 0.50 0.9412 3.9593 7.0864 10.2224 13.3611 16.
• 0.55 0.9812 3.9716 7.0934 10.2272 13.3649 16.
• 0.60 1.0184 3.9840 7.1003 10.2322 13.3686 16.
• 0.65 1.0538 3.9963 7.1073 10.2370 13.3723 16.
• 0.70 1.0872 4.0084 7.1143 10.2419 13.3761 16.
• 0.75 1.1196 4.0205 7.1213 10.2468 13.3798 16.
• 0.80 1.1495 4.0324 7.1282 10.2516 13.3835 16.
• 0.85 1.1780 4.0443 7.1351 10.2565 13.3872 16.
• 0.90 1.2049 4.0561 7.1420 10.2613 13.3910 16.
• 0.95 1.2309 4.0678 7.1489 10.2661 13.3947 16.
• 1.0 1.2558 4.0795 7.1557 10.2709 13.3984 16.
• 1.2 1.3457 4.1249 7.1830 10.2902 13.4132 16.
• 1.4 1.4226 4.1689 7.2099 10.3093 13.4279 16.
• 1.6 1.4892 4.2112 7.2364 10.3283 13.4427 16.
• 1.8 1.5476 4.2519 7.2626 10.3471 13.4573 16.
• 2.0 1.5991 4.2910 7.2884 10.3657 13.4718 16.
• 2.2 1.6451 4.3287 7.3136 10.3843 13.4863 16.
• 2.4 1.6868 4.3644 7.3385 10.4026 13.5007 16.
• 2.6 1.7241 4.3988 7.3629 10.4208 13.5151 16.
• 2.8 1.7579 4.4318 7.3868 10.4388 13.5293 16.
• 3.0 1.7884 4.4634 7.4103 10.4565 13.5433 16.
• 3.5 1.8545 4.5364 7.4671 10.5001 13.5782 16.
• 4.0 1.9078 4.6019 7.5200 10.5422 13.6124 16.
• 4.5 1.9523 4.6604 7.5704 10.5829 13.6459 16.
• 5.0 1.9898 4.7133 7.6178 10.6222 13.6784 16.
• 6.0 2.0490 4.8033 7.7039 10.6963 13.7413 16.
• 7.0 2.0935 4.8771 7.7797 10.7645 13.8007 16.
• 8.0 2.1285 4.9384 7.8464 10.8270 13.8566 16.
• 9.0 2.1566 4.9897 7.9051 10.8842 13.9090 16.
• 10 2.1795 5.0332 7.9569 10.9363 13.9580 17.
• 12 2.2147 5.1027 8.0437 11.0274 14.0464 17.
• 14 2.2405 5.1555 8.1128 11.1035 14.1232 17.
• 16 2.2601 5.1967 8.1689 11.1674 14.1898 17.
• 18 2.2756 5.2298 8.2150 11.2215 14.2478 17.
• 20 2.2880 5.2568 8.2534 11.2677 14.2983 17.
• 25 2.3108 5.3068 8.3262 11.3575 14.3996 17.
• 30 2.3262 5.3410 8.3771 11.4222 14.4749 17.
• 35 2.3372 5.3659 8.4146 11.4706 14.5323 17.
• 40 2.3455 5.3847 8.4432 11.5081 14.5774 17.
• Bi d 1 d 2 d 3 d 4 d 5 d Table A.4 First six roots of the equation: d cot d = 1-Bi
• 0 0 4.4934 7.7252 10.9041 14.0662 17.
• 0.10 0.5423 4.5157 7.7382 10.9133 14.0733 17.
• 0.15 0.6609 4.5268 7.7447 10.9179 14.0769 17.
• 0.20 0.7593 4.5379 7.7511 10.9225 14.0804 17.
• 0.25 0.8453 4.5490 7.7577 10.9270 14.0839 17.
• 0.30 0.9208 4.5601 7.7641 10.9316 14.0875 17.
• 0.35 0.9895 4.5711 7.7705 10.9362 14.0910 17.
• 0.40 1.0528 4.5822 7.7770 10.9408 14.0946 17.
• 0.45 1.1121 4.5932 7.7834 10.9453 14.0981 17.
• 0.50 1.1656 4.6042 7.7899 10.9499 14.1017 17.
• 0.55 1.2161 4.6151 7.7963 10.9544 14.1053 17.
• 0.60 1.2644 4.6261 7.8028 10.9591 14.1088 17.
• 0.65 1.3094 4.6370 7.8091 10.9636 14.1124 17.
• 0.70 1.3525 4.6479 7.8156 10.9682 14.1159 17.
• 0.75 1.3931 4.6587 7.8219 10.9727 14.1195 17.
• 0.80 1.4320 4.6696 7.8284 10.9773 14.1230 17.
• 0.85 1.3931 4.6587 7.8219 10.9727 14.1195 17.
• 0.90 1.5044 4.6911 7.8412 10.9865 14.1301 17.
• 0.95 1.5383 4.7017 7.8476 10.9910 14.1336 17.
• 1.0 1.5708 4.7124 7.8540 10.9956 14.1372 17.
• 1.2 1.6887 4.7544 7.8794 11.0137 14.1513 17.
• 1.4 1.7906 4.7954 7.9045 11.0318 14.1654 17.
• 1.6 1.8797 4.8356 7.9295 11.0498 14.1795 17.
• 1.8 1.9586 4.8750 7.9542 11.0677 14.1935 17.
• 2.0 2.0288 4.9132 7.9787 11.0855 14.2074 17.
• 2.2 2.0916 4.9502 8.0028 11.1033 14.2213 17.
• 2.4 2.1483 4.9861 8.0267 11.1208 14.2352 17.
• 2.6 2.1996 5.0209 8.0502 11.1382 14.2490 17.
• 2.8 2.2463 5.0545 8.0733 11.1555 14.2627 17.
• 3.0 2.2889 5.0870 8.0962 11.1727 14.2763 17.
• 3.5 2.3806 5.1633 8.1516 11.2149 14.3101 17.
• 4.0 2.4556 5.2329 8.2045 11.2560 14.3433 17.
• 4.5 2.5180 5.2963 8.2550 11.2960 14.3760 17.
• 5.0 2.5704 5.3540 8.3029 11.3348 14.4079 17.
• 6.0 2.6536 5.4544 8.3913 11.4086 14.4699 17.
• 7.0 2.7165 5.5378 8.4703 11.4772 14.5288 17.
• 8.0 2.7654 5.6077 8.5406 11.5408 14.5847 17.
• 9.0 2.8044 5.6669 8.6030 11.5994 14.6374 17.
• 10 2.8363 5.7172 8.6587 11.6532 14.6869 17.
• 12 2.8851 5.7981 8.7527 11.7481 14.7771 17.
• 14 2.9206 5.8597 8.8282 11.8281 14.8560 17.
• 16 2.9476 5.9080 8.8898 11.8959 14.9251 17.
• 18 2.9687 5.9467 8.9406 11.9535 14.9855 18.
• 20 2.9857 5.9783 8.9831 12.0029 15.0384 18.
• 25 3.0166 6.0368 9.0637 12.0994 15.1450 18.
• 30 3.0372 6.0766 9.1201 12.1691 15.2245 18.
• 35 3.0521 6.1055 9.1616 12.2213 15.2855 18.
• 40 3.0632 6.1273 9.1933 12.2618 15.3334 18.
• 0.05 0.056372 0.
• 0.10 0.112463 0.
• 0.15 0.167996 0.
• 0.20 0.222703 0.
• 0.25 0.276326 0.
• 0.30 0.328627 0.
• 0.35 0.379382 0.
• 0.40 0.428392 0.
• 0.45 0.475482 0.
• 0.50 0.520500 0.
• 0.55 0.563323 0.
• 0.60 0.603856 0.
• 0.65 0.642029 0.
• 0.70 0.677801 0.
• 0.75 0.711155 0.
• 0.80 0.742101 0.
• 0.85 0.770668 0.
• 0.90 0.796908 0.
• 0.95 0.820891 0.
• 1.0 0.842701 0.
• 1.1 0.880205 0.
• 1.2 0.910314 0.
• 1.3 0.934008 0.
• 1.4 0.952285 0.
• 1.5 0.966105 0.
• 1.6 0.976348 0.
• 1.7 0.983790 0.
• 1.8 0.989091 0.
• 1.9 0.992790 0.
• 2.0 0.995322 0.
• 2.1 0.997021 0.
• 2.2 0.998137 0.
• 2.3 0.998857 0.
• 2.4 0.999311 0.
• 2.5 0.999593 0.
• 2.6 0.999764 0.
• 2.7 0.999866 0.
• 2.8 0.999925 0.
• 2.9 0.999959 0.
• 3.0 0.999978 0.