{"title":"Effect of Gravity Modulation on Weakly Non-Linear Stability of Stationary Convection in a Dielectric Liquid","authors":"P. G. Siddheshwar, B. R. Revathi","volume":73,"journal":"International Journal of Mathematical and Computational Sciences","pagesStart":119,"pagesEnd":125,"ISSN":"1307-6892","URL":"https:\/\/publications.waset.org\/pdf\/9929","abstract":"
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.<\/p>\r\n","references":"[1] P. M. Gresho, R. L. Sani, \"The effects of gravity modulation on the\r\nstability of a heated Fluid layer,\" J. Fluid Mech., 1970, vol. 40, pp.783-\r\n806.\r\n[2] G. Z.Gershuni, E. M. Zhukhovitskii, I. S. Iurkov, \"On convective\r\nstability in the presence of periodically varying parameter,\" J. Appl.\r\nMath. 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