Influence of nonliner 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 concentration 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 temperature and concentration, ratio of angular velocities, relative temperature difference parameter, thermophoretic coefficients on velocity, temperature, and concentration profiles as well as tangential and circumferential skin friction coefficients, Nusselt number, and Sherwood number results are discussed in detail. The results indicate that the temperature is more influential compared to concentration. Also, the wall thermophoretic deposition velocity changes according to different values of pertinent parameter. Applications of the study arise in aerosol technology, space technology, astrophysics, and geophysics, which related to temperature-concentration-dependent density.