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Finite element technique to solve the elastic strain for Leonov fluid flow

類別:期刊論文

學年 / 學期:78-1

出版日期:1989-09-01 00:00:00

著者:林國賡; Lin, Gwo-geng; Tseng, Hsieng-cheng; Ju, Yi-shi

單位:淡江大學化學工程與材料工程學系

出版者:Chicheste: John Wiley & Sons Ltd.

著錄名稱、卷期、頁數:International journal for numerical methods in fluids 9(9), pp.1059-1072

摘要:The finite element method is used to find the elastic strain (and thus the stress) for given velocity fields of the Leonov model fluid. With a simple linearization technique and the Galerkin formulation, the quasi-linear coupled first-order hyperbolic differential equations together with a non-linear equality constraint are solved over the entire domain based on a weighted residual scheme. The proposed numerical scheme has yielded efficient and accurate convective integrations for both the planar channel and the diverging radial flows for the Leonov model fluid. Only the strain in the inflow plane is required to be prescribed as the boundary conditions. In application, it can be conveniently incorporated in an existing finite element algorithm to simulate the Leonov viscoelastic fluid flow with more complex geometry in which the velocity field is not known a priori and an iterative procedure is needed.

關鍵字:Viscoelastic flow;Leonov model;Convective integration;Finite element method

語言:en

ISSN:0271-2091

期刊性質:國外

國別:GBR

出版型式:紙本