Nonlinear stability of flows of Jeffreys fluids at low Weissenberg numbers
โ Scribed by Michael Renardy
- Publisher
- Springer
- Year
- 1995
- Tongue
- English
- Weight
- 498 KB
- Volume
- 132
- Category
- Article
- ISSN
- 0003-9527
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โฆ Synopsis
We consider the stability of steady flows of viscoelastic fluids of Jeffreys type. For sufficiently small Weissenberg numbers, but arbitrary Reynolds numbers, it is proved that the flow is stable to small disturbances if the spectrum of the linearized operator is in the left half plane.
๐ SIMILAR VOLUMES
Elastic effects on the hydrodynamic instability of inviscid parallel shear flows are investigated through a linear stability analysis. We focus on the upper convected Maxwell model in the limit of infinite Weissenberg and Reynolds numbers. We study the effects of elasticity on the instability of a f