Hydromagnetic Heat and Mass Transfer Flow of a Casson Fluid Over an Unsteady Stretching Surface with Convective Boundary Condition

Abstract

Unsteady hydromagnetic heat and mass transfer flow of a chemically reactive Casson fluid past a stretching sheet with convective boundary condition is investigated. The governing non-linear partial differential equations of the flow, heat and mass transfer are transformed into a set of ordinary differential equations by using suitable similarity transformations and solved numerically by using matlab bvp4c package. The effects of various nondimensional governing parameters on velocity, temperature and concentration profiles are presented in figures for Casson fluid and compared with Newtonian fluid. Various physical quantities of engineering interest like friction factor, Nusselt number and Sherwood number are presented in a tabular form and analyzed for both Casson and Newtonian fluids separately. It is revealed that magnetic field has a retarding effect on fluid flow, but its reverse effects have been observed in the heat and mass transfer characteristics with its increasing values. With an increasing values of unsteadiness parameter the fluid flow decreases for both Casson and Newtonian fluids, but Casson fluid reaches the free stream velocity faster than the Newtonian fluid. Casson fluid has a wide range of applications, in medical sciences, regulating blood flow during surgeries and separation of cell through the application of an external magnetic field, and similar such areas of treatment.