Heat Transport in Rayleigh-Benard Convection under Rotation Speed Modulation

S.H. Manjula¹

Section:Research Paper, Product Type: Journal-Paper
Vol.6 , Issue.6 , pp.28-35, Dec-2019

CrossRef-DOI:   https://doi.org/10.26438/ijsrmss/v6i6.2835

Online published on Dec 31, 2019

Copyright © S.H. Manjula . This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
 

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Abstract :
The purpose of this article is to analyse, theoretically, the effect of modulated rotation speed on rotating Rayleigh-Benard convection in a fluid layer. Rayleigh-B`enard momentum equation with Coriolis term has been used to describe the flow. The system is considered rotating about it own axis with non-uniform rotation speed. In particular, we assume that the rotation speed is varying sinusoidally with time. A non-linear stability analysis has been performed to find the effect of modulation on heat transport. Nusselt number is obtained in terms of amplitude of convection, and depicted graphically with respect to time, showing the effect of various parameters of the system on heat transport. It is found that the effect of rotation speed modulation is to stabilize or destabilize the system depending on the frequency of modulation.

Key-Words / Index Term :
Rotation speed modulation, Rayleigh-B`enard convection, Coriolis force, Taylor number, Nonlinear stability

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