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TEMPERATURE MODULATION IN RAYLEIGH–BÉNARD CONVECTION

Part of: Incompressible viscous fluids

Published online by Cambridge University Press:  01 October 2008

JITENDER SINGH  and
RENU BAJAJ
JITENDER SINGH*
Affiliation:
Indian Statistical Institute, Kolkata-700108, India (email: jitender_r@isical.ac.in)
RENU BAJAJ
Affiliation:
Centre for Advanced Study in Mathematics, Panjab University, Chandigarh-160014, India (email: rbajaj@pu.ac.in)
*
✉For correspondence; e-mail: jitender_r@isical.ac.in
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Abstract

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The stability characteristics of an infinite horizontal fluid layer excited by a time-periodic, sinusoidally varying free-boundary temperature, have been investigated numerically using the Floquet theory. It has been found that the modulation of the temperature gradient across the fluid layer affects the onset of the Rayleigh–Bénard convection. Modulation can give rise to instability in the subcritical conditions and it can also suppress the instability in the supercritical cases. The instability in the fluid layer manifests itself in the form of either a harmonic or subharmonic flow, controlled by thermal modulation.

Keywords

convectiontemperature modulationparametric instability

MSC classification

Secondary: 76D17: Viscous vortex flows
Type
Research Article
Information
The ANZIAM Journal , Volume 50 , Issue 2 , October 2008 , pp. 231 - 245
Copyright
Copyright © Australian Mathematical Society 2009

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