Magento-solutal convection in Newtonian fluid layer with solutal modulated boundaries

摘要

Present article concentrates on instability problem due to solutal convection in an electrically conducting Newtonian fluid subjected to imposed time-periodic boundary concentration (ITBC), confined between two horizontal infinite plates at a distance ‘d’ apart, under an induced magnetic field. In the case of ITBC, the concentration gradient between the walls of the fluid layer consists of a steady part and a time dependent oscillatory part. A weakly nonlinear theory is applied to investigate the mass transfer in the fluid layer. The mass transfer coefficient is calculated by deriving the cubic Landau amplitude equation. The amplitude equation is solved numerically and thus rate mass transfer in fluid layer is depicted. The Sherwood number is obtained in terms of various parameters and effect of individual parameter on mass transport is discussed in detail. Further, it is found that the amplitude of modulation can be used effectively either in enhancing the mass transport or diminishing it.