Transpiration and Thermophoresis Effects on Non-Darcy Convective Flow Past a Rotating Cone with Thermal Radiation

Abstract

In this article, mathematical model is developed for transport phenomena in an incompressible viscous fluid regime adjacent to a rotating vertical cone with thermal radiation and transpiration effects. The governing equations for the pertinent geometry are non-dimensionalized by employing specified transformations. A set of resultant equations are solved by numerical method. The solutions of this model are carried out under physical realistic boundary conditions to compute velocities, temperature and concentration functions distributions. The results are compared with previously available existing results. The excellent agreement has been found. The effect of thermal radiation, transpiration (surface injection/suction) and Forchheimer parameters, thermophoretic coefficient and relative temperature difference parameter on flow characteristics is illustrated graphically. It is observed that substantial influence has been exerted on flow characteristics, heat transfer rate (Nusselt number) and mass transfer rate (Sherwood number) for various values of transpiration parameter. The wall thermophoretic velocity changes according to the variation of physical parameters.