Linear stability of homogeneous elongational flow of the upper convected Maxwell fluid
β Scribed by Michael Renardy; Yuriko Renardy
- Publisher
- Elsevier Science
- Year
- 2009
- Tongue
- English
- Weight
- 349 KB
- Volume
- 160
- Category
- Article
- ISSN
- 0377-0257
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π SIMILAR VOLUMES
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-di
## Communicated by W. SprΓΆΓig 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