Combined effects of MHD and slip velocity on oscillatory mixed convective flow around a non-conducting circular cylinder embedded in a porous medium

The present analysis addresses the impact of magnetohydrodynamics and slip velocity on oscillating mixed-convective electrically-conducting fluid flow over thermally and horizontal non-conducting circular cylinder inserted in a porous medium. The fluid with a slip-boundary has a variety of uses in current technology, including the polishing of prosthetic heart valves and the interior heart cavities. The fluid motion is governed by connected nonlinear PDE's which are converted into convenient equations by applying finite-difference scheme with primitive trans-formation and Gaussian elimination technique. The numerical solutions of connected dimensionalized equations are obtained in the form of fluid velocity, temperature and magnetic profiles which are used to examined oscillating skin-friction, oscillating heat transfer and current-density for various emerging dimensionless parameters, slip number S-L, Prandtl number Pr, porous number omega and some other fixed parameters. The FORTRAN software is used for numerical results and displayed these results on Tech Plot. The novelty of the current work is to analyze mixed convective heat transfer analysis with MHD and slip velocity effects for oscillatory flow around a no-conducting horizontal circular cylinder embedded in a porous medium. First, the numerical solutions for steady part are secured and then these results are used in un-steady part, which make nonlinear coupled partial differential equation linear. It is pertinent to mention here that the convective heat transfer is practically associated with oscillatory flow behavior. It is observed that an increase in slip number SL leads to enhance the fluid velocity and temperature field. Transient current density and transient skin friction rate shows maximum magnitude of oscillation at both pi /6 and pi /3 stations in the presence of porous material.