Convective Instability in a Rapidly Rotating Viscoelastic Layer

I. A. Eltayeb*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

19 Citations (Scopus)

Abstract

The linear stability of a highly rotating horizontal viscoelastic fluid layer heated from below is studied in the Boussinesq approximation, when the fluid is governed by relations due to Oldroyd. The problem is solved by using singular perturbation methods. The effect of elasticity is shown to destabilize the layer, in general. However, the degree of destabilization depends crucially on the retardation time of the fluid as well as on the type of boundary under consideration. The reason for the destabilization is traced down to the inhibition of viscous dissipation by elasticity.

Original languageEnglish
Pages (from-to)599-604
Number of pages6
JournalZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik
Volume55
Issue number10
DOIs
Publication statusPublished - 1975

ASJC Scopus subject areas

  • Computational Mechanics
  • Applied Mathematics

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