On the nonlinear stability of a fluid layer of a mixture heated and salted from below
type: Item
instance of: scholarly article
title: On the nonlinear stability of a fluid layer of a mixture heated and salted from below
zbMATH Open document ID: 0809.76034
DOI: 10.1007/BF01135252
published in: Continuum Mechanics and Thermodynamics
publication date: 1994-11-14T00:00:00Z
review text: The nonlinear stability of the motionless state of a binary fluid mixture heated and salted from below, in the Oberbeck-Boussinesq scheme, is studied, in the stress-free boundary case. A stabilizing effect of gradient of solute on thermal convection is shown, and a globally nonlinear exponential stability theorem is proved. The stability of plane parallel convective flows (plane Couette and Poiseuille flows with linear temperature and concentration profiles) is also studied. Stability conditions independent of Reynolds number are found.
Mathematics Subject Classification ID: 76E15
Mathematics Subject Classification ID: 76E30
Mathematics Subject Classification ID: 76E05
Mathematics Subject Classification ID: 80A20
zbMATH DE Number: 687684
zbMATH Keywords: Oberbeck-Boussinesq scheme
zbMATH Keywords: stress-free boundary
zbMATH Keywords: globally nonlinear exponential stability theorem
zbMATH Keywords: Couette and Poiseuille flows
author: Giuseppe Mulone
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf01135252
OpenAlex ID: W1999918314
description: scientific article; zbMATH DE number 687684