Effect of Throughflow on the Onset of Electro-Thermo Convection in a Micropolar Fluid with Maxwell-Cattaneo Law

Abstract

Abstract

The effect of throughflow on the onset of Electro-thermo convection in a micropolar fluid with Maxwell-Cattaneo law is studied using the linear theory. The eigenvalue is obtained for free-free, rigid-rigid and rigid-free velocity boundary combinations with isothermal and adiabatic on the spin-vanishing boundaries using galerkin technique. The influence of Peclet number, Electric Rayleigh number and various micropolar fluid parameters on the onset of convection has been analyzed. It is found that by adjusting through flow it is possible to control the convection in micropolar fluid with Maxwell–Cattaneo law. It is also observed that the effect of Prandtl number on the stability of the system is dependent on the through flow being pro-gravity or antigravity. The classical approach predicts an infinite speed for the propagation of heat. The present non-classical theory involves a wave type heat transport and does not suffer from the physically unacceptable drawback of infinite heat propagation speed. It is found that the results are noteworthy at short times and the critical eigenvalues are less than the classical ones. 

Keywords: Electro-thermo convection, Throughflow, Micropolar fluid, Maxwell-Cattaneo law, Galerkin technique

Cite this Article

Anjumol, Pranesh S. Effect of Throughflow on the Onset of Electro-Thermo Convection in a Micropolar Fluid with Maxwell-Cattaneo Law. Recent Trends in Fluid Mechanics. 2018; 5(1):    1–17p.