Dissipative-Radiative Micropolar Fluid Transport in a Non-Darcy Porous Medium with Cross-Diffusion Effects

Abstract

In this work, the micropolar fluid flow and heat and mass transfer past a horizontal

stretching sheet through a porous medium are studied including the Soret-Dufour

effect in the presence of viscous dissipation. A uniform magnetic field is applied

transversely to the direction of the flow. The governing differential equations of the

problem are transformed into a system of non-dimensional differential equations

which are solved numerically by Nachtsheim-Swigert iteration technique along with

the sixth order Runge-Kutta integration scheme. The velocity, microrotation,

temperature and concentration profiles are presented for different parameters and

interpreted at length. Results show that with an increase in vortex viscosity ratio

parameter, suction parameter and radiation parameter, velocity is decreased whereas

it increases with the increase of magnetic parameter, Darcy number and Eckert

number. Angular velocity significantly elevated by increasing the suction parameter,

surface nonlinearity parameter and magnetic parameter. Temperature gradient

escalate with the increase of magnetic parameter and Dufour number, while a reverse

trend is observed in case of increase of Darcy number, Eckert number and Soret

number. Concentration gradient putrefies with Schmidt number and Dufour number.

However, concentration grows with Soret number. The present problem finds

significant applications in hydromagnetic control of conducting polymeric sheets and

magnetic materials processing.