Some results in the nonlinear stability for rotating Bénard problem with rigid boundary condition

Authors

  • Paolo Falsaperla University of Catania, department of Mathematics and Informatics
  • Andrea Giacobbe University of Padua, department of Mathematics
  • Giuseppe Mulone University of Catania. Department of Mathematics and Informatics

DOI:

https://doi.org/10.1478/AAPP.91S1A9

Abstract

The scope of this article is to expose the stabilizing properties of rotation and solute gradient for the Bénard problem with (at least one-sided) rigid boundary conditions. We perform a linear investigation of the critical threshold for the rotating Bénard problem with a binary fluid, and we also make an investigation with a Lyapunov function for the particular problem of a rotating single fluid. In all the these cases an increase of the Taylor number has stabilizing effects.

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Published

2013-01-29

Issue

Vol 91, SUPPLEMENT NO 1 (2013): Advanced modelling in continuum mechanics

Section

Special issue in memory of Prof. Giovanni Crupi

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