Numerical Exploration of Tracer Behavior in Porous Channels with Couple Stress and Magnetic Fields

The solution for tracer dispersion in a couple stress fluid flow through a porous channel subject to the transverse magnetic field is obtained by means of finite difference technique with special attention on non-uniform grid. A transformation entitled artanh is adopted to resolve the problem of boundary condition at infinity. A two-point forward and a three-point central differencing scheme are employed to discretize the convection and diffusion terms, respectively. The present result for the limiting case of some parameters is verified with well-established experimental research at four downstream locations and received nice agreement. It is noticed that movement of the solute concentration diminishes with the enhancement of couple stress parameter and Hartmann number. However, tracer molecule dispersed more throughout the channel as Darcy number increases. The investigation has several applications in polymer extrusion, liquid crystallization, and animal blood flow.