非牛顿流体弹性径向渗流的自型问题的近似解
The Approximate Solution of the Self-Similar Problem for Radial Flow of Non-Newtonian Fluids through Porous Media
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摘要: 本文研究了非牛顿流体弹性径向渗流的自型解.设流体服从幂函数律.当指数n等于零时,文中得到了准确解.将此解和文献[1]的近似解作了比较.对于n>1及n<1的各种情形,文中得到了近似解.有算例.Abstract: In this paper,we study the approximate solution of the self-simikar problem for radial flow of non-Newtonian fluids through porous media.Assuming that the fluids obey the exponential function law,we obtain an exact solution for the exponent n=0 and compare it with the approximate solution in ref.[1].For n>1 and n<1,we obtain respectively approximate solutions.Some exampls are presented.
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[1] 刘慈群,非牛顿流体弹性径向渗流近似解,力学与实践,4,4(1982),41-43. [2] 陈文芳著,《非牛顿流体力学》,科学出版社(1984),113.
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