Rotating Brinkman–Lapwood Convection with Modulation

Abstract

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.

Effect of rotational speed modulation on heat transport in a fluid layer with temperature dependent viscosity and internal heat source

“…Further, Suthar et al [33] investigated the effect of rotation speed modulation on the onset of free convection in a rotating porous layer about z-axis. In their study, 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.…”

Comparative study of sinusoidal and non‐sinusoidal two‐frequency internal heat modulation in a Rayleigh‐Bénard system

“…In modulated system, the frequency of the modulating force plays an important role; by adjusting the frequency, it is possible to control the system's stability and heat transfer. The modulated RBC with single-frequency under temperature modulation, [8][9][10][11][12][13][14][15] gravity modulation 9,10,[16][17][18][19][20][21][22] magnetic modulation, and rotational speed modulation [23][24][25][26][27][28][29][30][31][32][33] has been theoretically investigated.…”

The onset of Rayleigh–Bénard convection and heat transfer under two‐frequency rotation modulation

“…Moreover, it was noted that the Prandtl number can raise or abate the stability bounds in such systems. The impact of rotational modulation in a porous medium has been studied by Om et al 7,8 Pranesh and Sangeetha 9 have further investigated the effect of sinusoidally modulated rotational speed in a couple stress fluid and they concluded internal convection in the system can be controlled by modulating the rotational speed. The amount of heat transfer in a harmonically modulated rotating RBC was investigated by Geurts and Kunnen 10 and Kooij et al 11 They noted an enhancement in heat transfer in the configuration that consists of vertical cylinder rotation about its axis.…”