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非牛顿流体蠕动传输的数学建模

Mathematical modelling of peristaltic transport of a non-Newtonian fluid.

作者信息

Mernone A, Mazumdar J

机构信息

Department of Applied Mathematics, University of Adelaide, South Australia.

出版信息

Australas Phys Eng Sci Med. 1998 Sep;21(3):126-40.

PMID:9848947
Abstract

The paper considers the phenomena of peristaltic transport of a non-Newtonian fluid represented as a power law fluid. The governing equations are the modified Navier-Stokes equations and the continuity equation in axisymmetric form. A solution is sought in terms of a perturbation series and it is shown the close proximity between analytical and numerical solutions when considering stream functions for various values of the flow behaviour index.

摘要

本文研究了以幂律流体表示的非牛顿流体蠕动传输现象。控制方程为修正的轴对称形式的纳维-斯托克斯方程和连续性方程。通过微扰级数寻求解,并表明在考虑不同流动行为指数值的流函数时,解析解和数值解非常接近。

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