Thermosolutal convection in a rotating viscoelastic Walters fluid

Authors

  • Lidia Palese Università degli Studi di Bari

DOI:

https://doi.org/10.1478/AAPP.97S1A20

Keywords:

Stability, Energy Method

Abstract

In this paper we study the nonlinear Lyapunov stability of the thermodiffusive equilibrium of a viscoelastic rotating Walters fluid, in a horizontal rotating layer heated and salted from below. We reformulate the nonlinear stability problem, projecting the initial perturbation evolution equations on some suitable subspaces of the space of kinematically admissible functions. In this way we preserve the contribution of the Coriolis term and, jointly, all nonlinear terms vanish. When the viscoelasticy parameter vanishes, that is for the classical rotating Bénard problem, if instability occurs as stationary convection, the linear and nonlinear stability bounds are equal.

Author Biography

  • Lidia Palese, Università degli Studi di Bari
    Dipartimento di Matematica Professore Associato Dipartimento di Matematica, Via E. Orabona 4, 70125 Bari

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Published

2019-05-20

Issue

Vol 97, SUPPL NO 1 (2019): Thermocon 2016

Section

THERMOCON 2016 (Conference Proceedings)

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