Effects of Internal Heat Generation and Variable Viscosity on Onset of Rayleigh-Benard Convection

Authors

  • Gangadharaiah Y. H. New Horizon College of Engineering, Bangalore-560 103
  • Suma S. P. New Horizon College of Engineering, Bangalore-560 103

DOI:

https://doi.org/10.24297/ijct.v5i3.3521

Keywords:

variable viscosity, internal heat source, Rayleigh-Benard convection

Abstract

In the present study, onset of stationary Rayleigh-Benard convective instability in a fluid layer, with internal heating and thermally dependent viscosity has been investigated by means of linear stability analysis. The dependence of viscosity is assumed to be exponential. The resulting eigen value problem is solved using a regular perturbation technique with wave number a as a perturbation parameter. The viscosity parameter and the presence of internal heat source play a decisive role on the stability characteristics of the system. It is observed that both stabilizing and destabilizing factors can be enhanced because of the simultaneous presence of a volumetric heat source and variable viscosity so that a more precise control (suppress or augment) of thermal convective instability in a fluid layer is possible.

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Author Biographies

Gangadharaiah Y. H., New Horizon College of Engineering, Bangalore-560 103

Department of Mathematics

Suma S. P., New Horizon College of Engineering, Bangalore-560 103

Department of Mathematics

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Published

2013-05-30

How to Cite

Y. H., G., & S. P., S. (2013). Effects of Internal Heat Generation and Variable Viscosity on Onset of Rayleigh-Benard Convection. INTERNATIONAL JOURNAL OF COMPUTERS &Amp; TECHNOLOGY, 5(3), 200–213. https://doi.org/10.24297/ijct.v5i3.3521

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Section

Research Articles