Convective heat transfer in a dusty ferromagnetic fluid over a stretching surface with prescribed surface temperature/heat flux including heat source/sink

Abstract

The aim of the present paper was to investigate the boundary layer flow and heat transfer in a dusty fluid with ferromagnetic particles over a flat stretching sheet including the effect of magnetic dipole. By using suitable similarity transformations, the governing partial differential equations of momentum and energy were reduced into non-linear ordinary differential equations. The resulting differential equations with corresponding boundary conditions were solved numerically by employing shooting based fourth order Runge-Kutta method. The effect of controlling parameters such as ferromagnetic interaction parameter, mixed convection parameter, Eckert number, Prandtl number, the number of dust particles and heat generation/absorption parameter on the temperature and velocity profiles are considered graphically for two types of heating processes, namely, the prescribed surface temperature (PST) and the prescribed heat flux (PHF). The value of skin friction coefficient and Nusselt number are presented in tabular form for different values of the governing parameters. It is found that the value of local Nusselt number increases with an increase of the value of heat source/sink parameter for both PST and PHF cases. The present results were compared with previously published data for a special case and an excellent agreement was found.