• EFFECT OF THERMAL MODULATION AND ROTATION ON THE ONSET OF CONVECTION IN A WALTERS B FLUID SATURATED POROUS LAYER

Abstract

The combined effect of thermal modulation and rotation on the onset of convection in a Walters B viscoelastic fluid saturated porous layer is studied analytically using linear stability theory. Darcy’s law that includes the Coriolis term is used to describe the fluid motion. A method based on small amplitude of the modulation is employed to compute the critical value of Rayleigh number and wavenumber. The stability of the system characterized by a correction Rayleigh number is calculated as a function of Taylor number, viscoelastic parameter, Prandtl number, Darcy number and the frequency of modulation. We have shown that it is possible to advance or delay the onset of convection by time-periodic modulation of the wall temperature. It is also shown that the large Taylor number has a strong influence on the stability of the system. The effect of viscoelastic parameter, Prandtl number, and Darcy number is discussed.