Effect of Coriolis force on Rayleigh-Bard convection with internal heat generation

Title

Effect of Coriolis force on Rayleigh-Bard convection with internal heat generation

Creator

Noor Arshika S.; Oumar M.E.H.; Pranesh S.

Description

The objective of this paper is to analyze the influence of the Coriolis force and internal heat source on Rayleigh-Bard convection in a Boussinesquian fluid of depth d. A linear theory which is oriented towards the normal mode analysis technique is used for this mono-diffusive convection in order to find the criteria for the onset of Rayleigh-Bard convection. The eigenvalue of the said problem was obtained by the use of the Galerkin method in the cases of rigid-rigid, rigid-free, and free-free velocity boundary combinations considering the isothermal and adiabatic temperature boundaries that determine the stability of the system. The effects of various parameters, Taylor number and the internal Rayleigh number are put under consideration only for stationary convection. Treating Taylor number as a critical parameter, shown that it plays a major role in stabilization of the system in case of any particular infinitesimal disturbance. The destabilization of the system has been possible with rotation by treating internal Rayleigh numbers as a critical parameter since the increase in values of the internal Rayleigh number advances the onset of convection. Oscillatory convection seems highly improbable as the scaled frequency of oscillation remains less than 0 for all combinations of Prandtl number, internal Rayleigh number, and Taylor number. 2019, Accent Social and Welfare Society. All rights reserved.

Source

International Journal of Advanced Technology and Engineering Exploration, Vol-6, No. 54, pp. 133-142.

Date

2019-01-01

Publisher

Accent Social and Welfare Society

Subject

Boussinesquian fluid; Internal heat source; Rayleigh number; Rotation; Stability; Thermal convection

Coverage

Noor Arshika S., Department of Mathematics, Christ (Deemed to be University), Bengaluru, India; Oumar M.E.H., Department of Mathematics, Christ (Deemed to be University), Bengaluru, India; Pranesh S., Department of Mathematics, Christ (Deemed to be University), Bengaluru, India

Rights

All Open Access; Gold Open Access

Relation

ISSN: 23945443

Format

Online

Language

English

Type

Article

Identifier

https://doi.org/10.19101/IJATEE.2019.650040

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