Effect of Ramped Temperature and Convection on Flow, Heat and Mass Transfer of a Chemically Reacting and Heat Absorbing Fluid Past a Vertical Plate

An unsteady magnetohydrodynmic flow with heat and mass transfer of an electrically conducting, viscous, incompressible, chemically reacting and heat absorbing fluid past a moving vertical plate with ramped temperature and concentration in the presence of thermal and mass diffusions is studied. The continuity, momentum, energy and concentration equation models, which describing the problem are developed under the Boussinesq approximation. The obtained non-linear couple Partial differential equations models are transformed from dimensional to non-dimensional via a formulated similarity variable. The expressions for skin friction, Nusselt number and Sherwood number are also derived. Shooting method together with six order Runge Kutta method are applied to solve the PDEs. The numerical simulation is done with help of MAPLE. The influence of embedded flow parameters on the variations with fluid velocity, fluid temperature and species concentration are presented graphically and discussed. Natural convection flow near a ramped temperature plate with ramped surface concentration is also compared with the flow near an isothermal plate with uniform surface concentration. The findings reveal Fluid velocity is faster in the case of isothermal plate with uniform surface concentration than that in the case of ramped temperature plate with ramped surface concentration. Also, magnetic field has retarding effect on fluid flow for both ramped temperature plate with ramped surface concentration and isothermal plate with uniform surface concentration Keywords: Magnetohydrodynmic, Ramped, Boussinesq, Mass Diffusion