Influence of non-linear convection and thermophoresis on heat and mass transfer from a rotating cone to fluid flow in porous medium

Abstract

In this paper, we study the effects of thermophoresis and non-linear convection on mixed convective flow of viscous incompressible rotating fluid due to rapidly rotating cone in a porous medium, whose surface temperature and concentration are higher than the temperature and concentration of its surrounding fluid. The governing equations for the conservation of mass, momentum, energy, and con-centration are transformed, using similarity transformations and the solutions are obtained by employing shooting method that uses Runge-Kutta method and Newton-Raphson method. A comparison of the present results with previously published work for special cases shows a good agreement. The effects of temper-ature and concentration, ratio of angular velocities, relative temperature differ-ence parameter, thermophoretic coefficients on velocity, temperature, and con-centration profiles as well as tangential and circumferential skin friction coeffi-cients, Nusselt number, and Sherwood number results are discussed in detail. The results indicate that the temperature is more influential compared to concentra-tion. Also, the wall thermophoretic deposition velocity changes according to dif-ferent values of pertinent parameter. Applications of the study arise in aerosol technology, space technology, astrophysics, and geophysics, which related to temperature-concentration-dependent density.