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Heat Transfer Handbook part 19
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Heat Transfer Handbook part 19. The Heat Transfer Handbook provides succinct hard data, formulas, and specifications for the critical aspects of heat transfer, offering a reliable, hands-on resource for solving day-to-day issues across a variety of applications. | SPECIAL FUNCTIONS 171 TABLE 3.3 Gamma Function x r x x r x x r x x r x 1.00 1.00000 1.25 0.90640 1.50 0.88623 1.75 0.91906 1.01 0.99433 1.26 0.90440 1.51 0.88659 1.76 0.92137 1.02 0.98884 1.27 0.90250 1.52 0.88704 1.77 0.92376 1.03 0.98355 1.28 0.90072 1.53 0.88757 1.78 0.92623 1.04 0.97844 1.29 0.89904 1.54 0.88818 1.79 0.92877 1.05 0.97350 1.30 0.89747 1.55 0.88887 1.80 0.93138 1.06 0.96874 1.31 0.89600 1.56 0.88964 1.81 0.93408 1.07 0.96415 1.32 0.89464 1.57 0.89049 1.82 0.93685 1.08 0.95973 1.33 0.89338 1.58 0.89142 1.83 0.93969 1.09 0.95546 1.34 0.89222 1.59 0.89243 1.84 0.94261 1.10 0.95135 1.35 0.89115 1.60 0.89352 1.85 0.94561 1.11 0.94740 1.36 0.89018 1.61 0.89468 1.86 0.94869 1.12 0.94359 1.37 0.88931 1.62 0.89592 1.87 0.95184 1.13 0.93993 1.38 0.88854 1.63 0.89724 1.88 0.95507 1.14 0.93642 1.39 0.88785 1.64 0.89864 1.89 0.95838 1.15 0.93304 1.40 0.88726 1.65 0.90012 1.90 0.96177 1.16 0.92980 1.41 0.88676 1.66 0.90167 1.91 0.96523 1.17 0.92670 1.42 0.88636 1.67 0.90330 1.92 0.96877 1.18 0.92373 1.43 0.88604 1.68 0.90500 1.93 0.97240 1.19 0.92089 1.44 0.88581 1.69 0.90678 1.94 0.97610 1.20 0.91817 1.45 0.88566 1.70 0.90864 1.95 0.97988 1.21 0.91558 1.46 0.88560 1.71 0.91057 1.96 0.98374 1.22 0.91311 1.47 0.88563 1.72 0.91258 1.97 0.98768 1.23 0.91075 1.48 0.88575 1.73 0.91467 1.98 0.99171 1.24 0.90852 1.49 0.88595 1.74 0.91683 1.99 0.99581 2.00 1.00000 TABLE 3.4 Incomplete Gamma Function T a x a 1.2 x T a x 0.00 0.91817 0.10 0.86836 0.20 0.80969 0.30 0.75074 0.40 0.69366 0.50 0.63932 0.60 0.58813 0.70 0.54024 0.80 0.49564 0.90 0.45426 1.00 0.41597 172 CONDUCTION HEAT TRANSFER TABLE 3.5 Incomplete Beta Function Bt 0.3 0.5 x Bt 0.3 0.5 0.00 0.00000 0.10 0.64802 0.20 0.94107 0.30 1.18676 0.40 1.41584 0.50 1.64284 0.60 1.87920 0.70 2.13875 0.80 2.44563 0.90 2.86367 1.00 4.55444 The incomplete beta function Bt x y is defined by Bt x y f 1 - t x-1ty 1 dt 3.27 Jo Values of Bt 0.3 0.5 for the range 0 t 1 generated using Maple V Release 6.0 are given in Table 3.5.