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
Copyright Status
Unknown
Socpus ID
67650609861 (Scopus)
Source API URL
https://api.elsevier.com/content/abstract/scopus_id/67650609861
STARS Citation
Van Gorder, Robert A.; Vajravelu, K.; and Akyildiz, F. Talay, "Viscoelastic Stresses In The Stagnation Flow Of A Dilute Polymer Solution" (2009). Scopus Export 2000s. 11689.
https://stars.library.ucf.edu/scopus2000/11689