• A WEAKLY NON LINEAR STABILITY ANALYSIS OF HEAT TRANSPORT IN ANISOTROPIC POROUS CAVITY UNDER G-JITTER

Abstract

In this paper, we have analyzed the effect of time periodic gravity modulation i.e. G-jitter on convective instability in anisotropic porous cavity. The cavity is heated from below and cooled from above. The amplitude of gravity modulation is considered to be very small. A weakly nonlinear stability analysis is done to find Nusselt number governing the heat transport. Analytically the non-autonomous Ginzburg- landau amplitude equation is obtained for the stationary mode of convection. The effects of various parameters like Vadasz number, Mechanical and Thermal anisotropic parameters, Amplitude of oscillation, Frequency of modulation and Aspect ratio of cavity on heat transport is studied. It is observed that the heat transport can also be controlled by suitably adjusting the external and internal parameters of the system.