Title

Viscoelastic stresses in the stagnation flow of a dilute polymer solution

Authors

Authors

R. A. Van Gorder; K. Vajravelu;F. T. Akyildiz

Comments

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Abbreviated Journal Title

J. Non-Newton. Fluid Mech.

Keywords

Stress singularities; Stagnation flow; Upper convected Maxwell fluid; Exact solution; Partial differential equations; FLUID; WAKE; Mechanics

Abstract

In this paper, we consider viscoelastic stresses T-11, T-12 and T-22 arising in the stagnation flow of a dilute polymer solution; in particular. we consider an upper convected Maxwell (UCM) fluid. We present exact solutions to the coupled partial differential equations describing the viscoelastic stresses and deduce the results for the stress T-22 of Becherer et al. [P. Becherer, A.N. Morozov, W. van Saarloos, Scaling of singular structures in extensional flow of dilute polymer solutions, J. Non-Newtonian Fluid Mech. 153 (2008) 183-190]. As we considered the viscoelastic stresses over two spatial variables, we are able to study the effect of variable boundary data at the inflow. As such. our results are applicable to a wider range of fluid flow problems. (C) 2009 Elsevier B.V. All rights reserved.

Journal Title

Journal of Non-Newtonian Fluid Mechanics

Volume

161

Issue/Number

1-3

Publication Date

1-1-2009

Document Type

Article

Language

English

First Page

94

Last Page

100

WOS Identifier

WOS:000268939600011

ISSN

0377-0257

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