UNSTEADY QUADRATIC CONVECTIVE FLOW OF A ROTATING NON-NEWTONIAN FLUID OVER A ROTATING CONE IN A POROUS MEDIUM

Abstract

A mathematical model is developed to study on unsteady double diffusive flow of rotating Casson fluid from a rotating vertical cone in a porous medium. Flow in porous medium is described by Darcy’s law. Quadratic variation of density with temperature and concentration is assumed in momentum equation. The equations (PDE) of the model are converted into ODE using suitable similarity transformations. A numerical method namely Runge-Kutta based shooting method is used to find the solution of resultant equations. Computational results are reported graphically on velocity, temperature and concentration fields for different values of non-linear temperature and concentration parameters, Casson fluid parameter, unsteady parameter. Increasing non-linear temperature and concentration parameter tends enhance tangential velocity and reduce azimuthal and normal velocities as well as temperature and concentration fields. This study finds applications in industries like pharmaceutical industries, aerospace technology and polymer production etc.