Double-diffusive convection in a circular cylinder
type: Item
instance of: scholarly article
title: Double-diffusive convection in a circular cylinder
zbMATH Open document ID: 0627.76053
DOI: 10.1007/BF01174654
author: B. George
published in: Acta Mechanica
publication date: 1987-01-01T00:00:00Z
review text: A theoretical study is made of the onset of steady double-diffusive convection in a circular cylinder of small to moderate aspect ratio. An eigenfunction expansion method is used to derive systems of amplitude equations for weakly nonlinear evolution of critical disturbances. It is shown that the nature of the convective solution near criticality depends strongly on the cylinder's aspect ratio; this is particularly the case at or near aspect ratios where two modes become unstable at the same Rayleigh number. There is also a strong dependence on Prandtl number, which is disussed.
Mathematics Subject Classification ID: 76E15
Mathematics Subject Classification ID: 76R50
Mathematics Subject Classification ID: 76M99
Mathematics Subject Classification ID: 80A20
zbMATH DE Number: 4020695
zbMATH Keywords: steady double-diffusive convection
zbMATH Keywords: circular cylinder
zbMATH Keywords: eigenfunction expansion method
zbMATH Keywords: weakly nonlinear evolution of critical disturbances
zbMATH Keywords: convective solution
describes a project that uses: AUTO
MaRDI profile type: Publication
cites work: A note on the use of a digital computer for doing tedious algebra and programmming
cites work: Effect of a stabilizing gradient of solute on thermal convection
cites work: Nonlinear double-diffusive convection
cites work: Double-diffusive convection
cites work: Steady subcritical thermohaline convection
cites work: Nonlinear periodic convection in double-diffusive systems
cites work: The effect of variable stratification on linear doubly diffusive stability
cites work: Thermal convection in a vertical circular cylinder
cites work: Q4749133
description: scientific article; zbMATH DE number 4020695