Bounds on Rayleigh-Benard-Marangoni Convection in a Composite Layer with Conducting Plates

Authors

  • Ananda K.  Department of Mathematics, New Horizon College of Engineering, Bengaluru-560103, India
  • Gangadharaiah Y. H.  Department of Mathematics, Sir M. Visvesvaraya Institute of Technology, Bengaluru-562157, India

Keywords:

Thermal Conductivity: Rayleigh-Benard-Marangoni Convection: Boundary Slab.

Abstract

Boundary effects on Rayleigh-Benard-Marangoni stability in a layer of composite scheme in which a liquid layer overlies a saturates porous material bounded by slabs of finite thermal conductivity and finite thickness has been investigated by means of linear stability analysis. The eigen value problem resulting from the stability analysis is solved by regular perturbation technique. It has been found the stability characteristics in terms of the critical Rayleigh number critical Marangoni number is profoundly influenced by the conductivity and slab thickness. Dependency of thermal conductivity ratio, and depth ratio is graphically discussed. The current findings may provide useful data in the solidification phase of alloys to understand the convective movement of the melt.

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IInternational Journal of Scientific Research in Computer Science, Engineering and Information Technology

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Published

2019-12-30

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Volume 4, Issue 9, November-December-2019

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Research Articles

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How to Cite

[1]
Ananda K., Gangadharaiah Y. H., " Bounds on Rayleigh-Benard-Marangoni Convection in a Composite Layer with Conducting Plates" International Journal of Scientific Research in Computer Science, Engineering and Information Technology(IJSRCSEIT), ISSN : 2456-3307, Volume 4, Issue 9, pp.200-206, November-December-2019.