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On the high Weissenberg number limit of the upper convected Maxwell fluid

✍ Scribed by Michael Renardy

Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
423 KB
Volume
165
Category
Article
ISSN
0377-0257

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✦ Synopsis

We consider the equations for time-dependent creeping flow of an upper convected Maxwell fluid in the limit of infinite Weissenberg number. We identify a particular class of solutions which is analogous to potential flow and discuss several examples. We also discuss more general solutions for two-dimensional flow.

πŸ“œ SIMILAR VOLUMES

Well-posedness of the upper convected Ma
Well-posedness of the upper convected Maxwell fluid in the limit of infinite Weissenberg number
✍ Xiaojun Wang; Michael Renardy πŸ“‚ Article πŸ“… 2010 πŸ› John Wiley and Sons 🌐 English βš– 222 KB

## Communicated by W. Sprâßig An iteration scheme is used to show the well-posedness of the initial-boundary value problem for incompressible hypoelastic materials, which arise as a high Weissenberg number limit of viscoelastic fluids. We first assume that the stress is a rank-one matrix T = qq T