Effects of Control on the Onset of Marangoni-Benard Convection with Uniform Internal Heat Generation

Authors

  • Norfifah Bachok
  • Norihan Arifin
  • Fadzilah Ali

DOI:

https://doi.org/10.11113/matematika.v24.n.219

Abstract

The effect of control on the onset of Marangoni-B\'{e}nard convection in a horizontal layer of fluid with internal heat generation heated from below and cooled from above is investigated. The resulting eigenvalue problem is solved exactly. The effects of control are studied by examining the critical Marangoni numbers and wave numbers. It is found that the onset of Marangoni-B\'{e}nard convection with internal heat generation can be delayed through the use of control. Keywords: Marangoni-B\'{e}nard convection; control; internal heat generation.

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Published

01-06-2008

Issue

Volume 24 (June 2008)

Section

Analysis and Algebra

License

Copyright of articles that appear in MATEMATIKA: MJIAM belongs exclusively to Penerbit UTM Press, Universiti Teknologi Malaysia. This copyright covers the rights to reproduce the article, including reprints, electronic reproductions or any other reproductions of similar nature.

How to Cite

Effects of Control on the Onset of Marangoni-Benard Convection with Uniform Internal Heat Generation. (2008). MATEMATIKA, 24, 23-29. https://doi.org/10.11113/matematika.v24.n.219