• ELECTRICALLY CONDUCTING SECOND-GRADE FLUID FLOW IN A POROUS MEDIUM OVER A SHRINKING SHEET IN THE PRESENCE OF A CHEMICAL REACTION AND MAGNETIC FIELD

Abstract

An analysis is carried out to study the distribution of reactive species undergoing first-order chemical reaction in an incompressible homogeneous electrically conducting second-grade fluid over a shrinking surface in the presence of magnetic field applied normal to the plane of the flow. Using similarity variables, the boundary layer equations governing the flow and concentration field are reduced into a set of nonlinear ordinary differential equations which are then solved analytically for power-law surface concentration (PSC) as concentration boundary conditions. The analysis reveals that the velocity is getting more closure towards the wall for increasing magnetic, viscoelastic and porosity parameters. It is also found that the diffusion of reactive species is considerably reduced with increasing values of magnetic, reaction rate, viscoelastic and porosity parameters.