A HYBRID METHOD FOR COMPUTING THE FLOW OF VISCOELASTIC FLUIDS

被引:70
作者
ARIEL, PD
机构
[1] Department of Mathematics and Statistics, University of Calgary, Calgary, Alberta
关键词
VISCOELASTIC FLUID; FINITE DIFFERENCES; SHOOTING METHOD; STAGNATION POINT FLOW; STRETCHING SHEET; ROTATING DISK;
D O I
10.1002/fld.1650140702
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
A hybrid method for computing the flow of viscoelastic and second-order fluids is presented. It combines the features of the finite difference technique and the shooting method. The method is accurate because it uses central differences. Its convergence is at least superlinear. The method is applied to obtain the solutions to three problems of flow of Walters 'B' fluid: (a) flow near a stagnation point, (b) flow over a stretching sheet and (c) flow near a rotating disk. Numerical results reveal some new characteristics of flows which are not easy to demonstrate using the perturbation technique.
引用
收藏
页码:757 / 774
页数:18
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