The  Marginal Stability of Oscillatory Bénard-Marangoni Convection With Internal Heat Generation

Mohamad Najib Mohamad Fadzil; Izleen Ibrahim

doi:10.24191/jcrinn.v8i2.342

The Marginal Stability of Oscillatory Bénard-Marangoni Convection With Internal Heat Generation

Authors

Mohamad Najib Mohamad Fadzil Universiti Teknologi MARA, Perlis Branch
Izleen Ibrahim Universiti Teknologi MARA, Perlis Branch

DOI:

https://doi.org/10.24191/jcrinn.v8i2.342

Keywords:

Benard-Marangoni convection, Rayleigh-Benard convection, free covection, Marangoni convection

Abstract

The onset of oscillatory Benard-Marangoni convection in a horizontal fluid layer with internal heat generation and a deformable free surface is studied using an analytical technique employing the classical linear stability theory. We consider the case when both the Rayleigh number and Marangoni number are linearly dependent. We obtained the analytical result for the expansion of the Rayleigh number in the limit of a very short wave. We found that the internal heat generation factor influences the leading order of Rayleigh number.

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