Wave number and magnetic field effects on the boundary layer flow over an accelerating vertical surface with zero-time periodic boundaries

Abstract

The problem of the wave number and magnetic field effects on a boundary layer flow over an accelerating vertical surface in the presence of heat generation and reacting species, and zero-time periodic boundaries is examined. We assumed the fluid is Newtonian, chemically reactive and of order one, and magnetically susceptible. The governing non-linear partial differential equations of the Bousinesq form are solved using the Homotopy Perturbation Method. Expressions for the concentration, temperature, and velocity are obtained, computed, and presented graphically. The analysis of results shows that the increase in the: Wave number increases the concentration, temperature, velocity, Sherwood, Nusselt number, and stress on the wall; Magnetic field increases the concentration, temperature, and velocity in the range of 0 < M < 1.5; Dufour number increases the concentration, temperature, and velocity of the fluid.