Title

Viscoelastic Stresses In The Stagnation Flow Of A Dilute Polymer Solution

Keywords

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

Abstract

In this paper, we consider viscoelastic stresses T11, T12 and T22 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 T22 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. © 2009 Elsevier B.V. All rights reserved.

Publication Date

9-1-2009

Publication Title

Journal of Non-Newtonian Fluid Mechanics

Volume

161

Issue

1-3

Number of Pages

94-100

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.1016/j.jnnfm.2009.04.009

Socpus ID

67650609861 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/67650609861

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