Heat and mass transfer analysis in unsteady boundary layer flow through porous media with variable viscosity and thermal diffusivity

In this paper, a comprehensive mathematical analysis is carried out on an unsteady boundary-layer flow with heat and mass transfer characteristics of a viscous fluid through porous media. Fluid suction or blowing is assumed to take place at the surface. The governing coupled nonlinear partial differential equations are transformed into coupled nonlinear ordinary differential equations by using a similarity transformation and are solved analytically and numerically by using the homotopy analysis method and the Runge–Kutta and shooting technique, respectively. A comparison between analytical and numerical results is conducted, which shows excellent agreement.