Pattern selection for Darcy-Bénard convection with local thermal nonequilibrium

Biliana Bidin, D A S Rees

Research output: Contribution to journalArticle

Abstract

A weakly nonlinear analysis is performed on the classical Darcy-Bénard problem to determine the effects of local thermal nonequilibrium on the planform of convection immediately post-onset. It is found that two-dimensional rolls are always favoured.Although disturbances which are perpendicular to the roll whose stability is being assessed usually form the most dangerous mode of instability,it is also found that there are regions of parameter space where the cross-roll instability becomes inoperative as an instability mechanism.
Original languageEnglish
Article number119539
Number of pages12
JournalInternational Journal of Heat and Mass Transfer
Volume153
Early online date16 Mar 2020
DOIs
Publication statusPublished - 1 Jun 2020

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