Capturing the Transient Behaviour of MHD Double-Diffusive Free Convection in Vertical Channel with Adiabatic and Isothermal Walls and Mass Inflow at Adiabatic Wall

An investigation has been undertaken to capture the transient behaviour of MHD heat and mass transfer double-diffusive free convection flow of a viscous, incompressible and electrically conducting fluid in vertical channel with adiabatic and isothermal walls amid mass inflow at the adiabatic wall. Semi-analytical solutions to the governing equations representing the flow are found by first applying Laplace transformation and then inverting by INVLAP routine of MATLAB. The numerical solution for fluid temperature, species concentration, fluid velocity, Nusselt number, Sherwood number and skin friction are represented by figures for a range of pertinent flow parameters. Behavioural changes on the flow profiles occurring due to change in physical entities during transition from unsteady to steady state are captured and discussed. Formation of boundary layers near the channel walls for small values of time and their transition into main flow due to large values of time are depicted.