A SIMPLE SOLUTION FOR BOUNDARY LAYER FLOW OF POWER LAW FLUIDS PAST A SEMI-INFINITE FLAT PLATE

被引:10
作者
HSU, CC
机构
[1] South Dakota State University, Brookings, South Dakota
关键词
D O I
10.1002/aic.690150313
中图分类号
TQ [化学工业];
学科分类号
0817 ;
摘要
The steady, two‐dimensional, incompressible laminar boundary‐layer flow of power law fluids past a semi‐infinite flat plate is studied analytically by the method of series expansion and the method of steepest descent (Meksyn's method). The shear stress of the fluids considered is proportional to the nth power of the velocity gradient. The solution obtained is a series of gamma function with the coefficient being a function of the material constant, n. The first ten terms of the series solution are then considered for the sum to determine the velocity gradient at the plate, fηη(0). The results obtained for fηη(0) and the coefficient of skin friction are in excellent agreement with the numerical solutions available in the range of 0.1 ≤ n ≤ 2.5. Copyright © 1969 American Institute of Chemical Engineers
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页码:367 / &
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