TY - JFULL AU - P. G. Siddheshwar and B. R. Revathi PY - 2013/2/ TI - Effect of Gravity Modulation on Weakly Non-Linear Stability of Stationary Convection in a Dielectric Liquid T2 - International Journal of Mathematical and Computational Sciences SP - 118 EP - 124 VL - 7 SN - 1307-6892 UR - https://publications.waset.org/pdf/9929 PU - World Academy of Science, Engineering and Technology NX - Open Science Index 73, 2013 N2 - The effect of time-periodic oscillations of the Rayleigh- Benard system on the heat transport in dielectric liquids is investigated by weakly nonlinear analysis. We focus on stationary convection using the slow time scale and arrive at the real Ginzburg- Landau equation. Classical fourth order Runge-kutta method is used to solve the Ginzburg-Landau equation which gives the amplitude of convection and this helps in quantifying the heat transfer in dielectric liquids in terms of the Nusselt number. The effect of electrical Rayleigh number and the amplitude of modulation on heat transport is studied. ER -