Heat and Mass Transfer in the Boundary Layer Flow along a Vertical Isothermal Reactive Plate near Stagnation Point: Existence of Dual Solution


1 Birla Institute of Technology (Ranchi), Ext. Center Jaipur,27, Malviya Industrial Area, Jaipur-302017, India

2 Department of Mathematics, University of Rajasthan, Jaipur - 302004, India


Heat and mass transfer in a steady stagnation point boundary layer flow of viscous incompressible fluid through highly porous media along a vertical isothermal plate is investigated. The plate surface reacts with the flowing fluid and inert specie is produced that diffuses inside the boundary layer. The mass flux of the specie at the plate is taken directly proportional to specie concentration at the plate. The governing equations of continuity, momentum, energy and specie diffusion are transformed into ordinary differential equation using the similarity transformation and solved numerically using Runge-Kutta method along with shooting technique. It is found that the system of ordinary differential equations possesses dual solution. The velocity, heat and specie concentration distribution are obtained for different parameters and presented through figures. Skin-friction coefficient, Nusselt number and Sherwood number at plate for various physical parameters are discussed numerically and presented through tables.