Mixed Convection Flow of Viscous Reactive Fluids with Thermal Diffusion and Radial Magnetic Field in a Vertical Porous Annulus

Abstract

This paper investigates the influence of the Frank–Kamenetskii, mixed convection, buoyancy force parameter, Soret effect, and radial magnetic field on steady-state fully developed free convection flow of viscous reactive fluids in the annular region between concentric cylinder r = 1 and r = b in the presence of thermal diffusion and radial magnetic field. The nonlinear ordinary differential equation governing the flow are solved using the semi-analytical method (perturbation series method). The solution obtained is graphically represented and the effect of various controlling pertinent parameters such as λ, Gre, N, Sr, and M on the flow formation is discussed. The physical quantities such as skin friction, Nusselt number and Sherwood number are also computed. It is interesting to observe that increasing the values of Frank–Kamenetskii (λ), mixed convection (Gre), and Soret (Sr) increases the velocity while increase in the radial magnetic field (M) decreases the velocity.