Viscoelastic stresses in the stagnation flow of a dilute polymer solution

    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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