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

Ishak Hashim
  Pusat Pengajian Sains Matematik
  Fakulti Sains dan Teknologi
  Universiti Kebangsaan Malaysia
  43600 Bangi Selangor

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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