The effect of rotation speed modulation on the onset of centrifugally driven convection has been studied using linear stability analysis. Darcy flow model with zerogravity is used to describe the flow. The perturbation method is applied to find the correction in the critical Rayleigh number. It is found that by applying modulation of proper frequency to the rotation speed, it is possible to delay or advance the onset of centrifugal convection.
The purpose of this article is to analyze, theoretically, the effect of modulation on rotating Brinkman-Lapwood convection, i.e., buoyancy-driven convection in a sparse porous medium subjected to rotation. Darcy-Brinkman momentum equation with Coriolis term has been used to describe the flow. The system is considered rotating about an axis with non-uniform rotation speed. In particular, we assume that the rotation speed is varying sinusoidally with time. A linear stability analysis has been performed to find the critical Rayleigh number in modulated case. The effect of modulated rotation speed is found to have a stabilizing effect on the onset of convection for different values of modulation frequency and the other physical parameters involved.
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