Magneto‐convection in a rotating layer of nanofluid

Abstract

The combined effect of rotation and magnetic field on the onset of convection in a horizontal layer of electrically conducting nanofluid is studied. Three cases of free–free, rigid–free, and rigid–rigid boundaries are considered. The two important effects of Brownian motion and thermophoresis are included in the model of nanofluid. The linear stability theory is employed, and the resulting eigenvalue problem is solved analytically for free–free boundaries and numerically for rigid–free and rigid–rigid boundaries using the Galerkin technique. Numerical results are presented for alumina–water nanofluid. The effects of magnetic field, rotation, and various nanofluid parameters such as nanoparticle Rayleigh number, modified diffusive ratio, and Lewis number on the onset of convection are analyzed, and results are depicted graphically. It is found that the critical Rayleigh number is lower for nanofluid in comparison with the regular fluid at the same values of Chandrasekhar number and Taylor number. The sufficient condition for the non‐existence of overstability is also obtained. © 2014 Curtin University of Technology and John Wiley & Sons, Ltd.

Effect of Internal Heat Source on the Onset of Double-Diffusive Convection in a Rotating Nanofluid Layer with Feedback Control Strategy

“…The comparison results of critical Rayleigh number Ra for the rigid-rigid boundary conditions are presented in Table 1. As can be seen in the table, our results are in good agreement with those reported in [43,55] and thus verify the accuracy of our analysis.…”

“…The obtained results have been presented graphically to illustrate the impact of various parameters on the Rayleigh number Ra as well as critical Rayleigh number Ra . Test computations have been performed and we compared our results with Chandrasekhar [43] and Yadav et al [55] for the limiting case of nanofluid (regular fluids) in the absence of internal heat source, feedback control, Soret parameter, and Dufour parameter. The comparison results of critical Rayleigh number Ra for the rigid-rigid boundary conditions are presented in Table 1.…”

“…Meanwhile, several authors [49][50][51][52] have investigated the convective instability in a rotating fluid layer induced by buoyancy and thermocapillary, which has received profound attention from the engineering industry. Yadav et al [53][54][55][56] studied the effect of rotation in a nanofluid layer and found that an increase in the Taylor number delays the onset of convection.…”

Numerical solutions for gyrotactic bioconvection in nanofluid-saturated porous media with Stefan blowing and multiple slip effects

“…On the other hand, an increase in thermophoresis parameter accelerates the flow and elevates the concentration, angular velocity, skin friction, and Nusselt number, while it decreases the temperature, Sherwood number, and wall couple stress. Yadav et al (2014) investigated magneto-convection in a rotating layer of nanofluid, showing that the critical Rayleigh number is lower for nanofluids compared with regular fluids at the same values of Taylor and Chandrasekhar numbers.…”

Lattice Boltzmann Simulation of Magnethydrodynamics Natural Convection in an L-Shaped Enclosure

“…Actually, considerable efforts are still devoted in the area, where the effect of the applied of a uniform magnetic field is studied because of its wide applications in different areas such as cooling of electronic devices cooling, chemical processing equipment and solar energy collectors [1][2][3][4][5].…”