Stability of unstably stratified shear flow in a channel under non-Boussinesq conditions
type: Item
instance of: scholarly article
title: Stability of unstably stratified shear flow in a channel under non-Boussinesq conditions
zbMATH Open document ID: 0868.76029
DOI: 10.1007/BF01177477
author: Oleg V. Vasilyev
author: Samuel Paolucci
published in: Acta Mechanica
publication date: 1997-08-21T00:00:00Z
review text: The stratified plane Poiseuille flow of an ideal gas between two horizontal plates is subject to a vertical temperature gradient. The temperature variations are very high. The linear stability of this thermodynamic phenomenon is investigated numerically on the bases of the equations of mass, momentum and energy conservation containing four real parameters. The coefficients of thermal conductivity and dynamic viscosity depend on the temperature according to the Sutherland law. The perturbation equations are deduced by a Laplace and Fourier transform. The obtained eigenvalue problem is shown to have only two types of eigensolutions. The Squire's theorem is shown to hold. Finally, the authors solve numerically the generalized Orr-Sommerfeld equations by means of a Chebyshev pseudo-spectral method. The comparison with the Boussinesq case is done.
Mathematics Subject Classification ID: 76E05
Mathematics Subject Classification ID: 76V05
Mathematics Subject Classification ID: 76N10
Mathematics Subject Classification ID: 80A20
zbMATH DE Number: 923821
zbMATH Keywords: plane Poiseuille flow
zbMATH Keywords: ideal gas
zbMATH Keywords: vertical temperature gradient
zbMATH Keywords: linear stability
zbMATH Keywords: thermal conductivity
zbMATH Keywords: dynamic viscosity
zbMATH Keywords: Sutherland law
zbMATH Keywords: Squire's theorem
zbMATH Keywords: generalized Orr-Sommerfeld equations
zbMATH Keywords: Chebyshev pseudo-spectral method
reviewed by: Adelina Georgescu
describes a project that uses: IMSL Numerical Libraries
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf01177477
OpenAlex ID: W2041358709
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description: scientific article; zbMATH DE number 923821