A hybrid method for computing the flow of viscoelastic fluids

✍ Scribed by P. D. Ariel

• Publisher: John Wiley and Sons
• Year: 1992
• Tongue: English
• Weight: 731 KB
• Volume: 14
• Category: Article
• ISSN: 0271-2091
• DOI: 10.1002/fld.1650140702

✦ Synopsis

Abstract

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.