二维分岔槽道内非牛顿流体流动的有限元分析
Finite Element Analysis of Non-Newtonian Fluid Flow in 2-D Branching Channel
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摘要: 本文介绍二维分岔槽道内非牛顿流体流动的有限元分析.采用Galerkin法及混合有限元法,流体看作不可压缩的非牛顿流体,满足Oldyord微分型本构方程.由有限元法形成的非线性代数方程组用连续微分法求解.结果表明有限元法适于分析复杂流场中非牛顿流体的流动.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.
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[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. -
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