Finite Element Analysis of Non-Newtonian Fluid Flow in 2-D Branching Channel

Article Contents

Article Navigation > Applied Mathematics and Mechanics > 1986 > 7(10): 929-936

Su Ming-de. Finite Element Analysis of Non-Newtonian Fluid Flow in 2-D Branching Channel[J]. Applied Mathematics and Mechanics, 1986, 7(10): 929-936.

Citation:

Su Ming-de. Finite Element Analysis of Non-Newtonian Fluid Flow in 2-D Branching Channel[J]. Applied Mathematics and Mechanics, 1986, 7(10): 929-936.

Citation:

Su Ming-de. Finite Element Analysis of Non-Newtonian Fluid Flow in 2-D Branching Channel[J]. Applied Mathematics and Mechanics, 1986, 7(10): 929-936.

Abstract

This paper presents finite element analysis of non-Newtonian fluid flow in 2-d branching channel. The Galerkin method and mixed finite element method are used. Here the fluid is considered as incompressible, non-Newtonian fluid with Oldyord differential-type constitutive equation. The non-linear algebraic equation system which is formulated with finite element method is solved by means of continuous differential method. The results show that finite element method is suitable for the analysis of non-Newtonian fluid flow with complex geometry.

[1]	Pedley,T.J.,The Fluid Mechanics of Largr Blood Vessels,Cabmbrige University Press(1980).
[2]	Bramley,J.S.and S.C.D.Dennis,A numerical treatment of 2-dimensional in a branching channel,Eighth International Conference on Numerical Methods in Fluid Dynamics,Lecture Notes in Physics,Vol.170(1982).
[3]	Perrera,M.G.N.and J.K.Walters,Long-range memory effects in flows involving abrupt changes in geometry,Part I,J of Non-Newtonian Fluid Mechanics,2(1977),49-81.
[4]	Kawahara,Mutsuto and Norio Takeuchi,Mixed finite element method for analysis of viscoelastic fluid flow,Computer and fluid,5(1977),33-45.
[5]	李庆阳,用连续微分法解非线性方程组.数值方法和计算机应用,1(1980),53.