Journal of Applied Fluid Mechanics1735-35728420150901Weak Nonlinear Double Diffusive Magneto-Convection in a Newtonian Liquid under Gravity Modulation735746156010.18869/acadpub.jafm.67.223.22740ENB. S. BhadauriaDepartment of Mathematics, Faculty of Sciences, Banaras Hindu University, Varanasi-221005, India.P. KiranDepartment of Applied Mathematics, School for Physical Sciences, Babasaheb Bhimrao Ambedkar University, Lucknow-226025, India.Journal Article19700101A theoretical analysis of thermo-convective instability in an electrically conducting two component fluid layer is carried out when the gravity field vary with time in a sinusoidal manner. Newtonian liquid is considered between two horizontal surfaces, under a constant vertical magnetic field. The disturbance is expanded in terms of power series of amplitude of convection, which is assumed to be small. We use the linear matrix differential operator method to find the Ginzburg–Landau amplitude equation for the modulated problem. Use the solution of the Ginzburg–Landau equation in quantifying the amount of heat and mass transports in terms of Nusselt and Sherwood numbers. It is found that, the effect of magnetic field is to stabilize the system. Effect of various parameters on the heat and mass transport is also discussed. Further, it is found that the heat and mass transports can be controlled by suitably adjusting frequency and amplitude of gravity modulation.https://www.jafmonline.net/article_1560_0f86868396f561ce9952d65c4248762e.pdf