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On competition between modes at the onset of Bénard-Marangoni convection in a layer of fluid

Published online by Cambridge University Press:  17 February 2009

Ishak Hashim
Ishak Hashim
Affiliation:
Pusat Pengajian Sains Matematik, Fakulti Sains dan Teknologi, Universiti Kebangsaan Malaysia, 43600 Bangi Selangor, Malaysia.
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Abstract

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In this paper we use classical linear stability theory to analyse the onset of steady and oscillatory Bénard-Marangoni convection in a horizontal layer of fluid in the more physically-relevant case when both the non-dimensional Rayleigh and Marangoni numbers are linearly dependent. We present examples of situations in which there is competition between modes at the onset of convection when the layer is heated from below.

Type
Research Article
Information
The ANZIAM Journal , Volume 43 , Issue 3 , January 2002 , pp. 387 - 395
Copyright
Copyright © Australian Mathematical Society 2002

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