ANZIAM J.
43 (2002), 387-395
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On competition between modes at the onset of Bénard-Marangoni convection in a layer of fluid
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Ishak Hashim
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.
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