An exploration on hydromagnetic free convective radiative flow in a rotating system by numerical approach

Abstract

The literature survey educated that rotating fluid problem together with thermal radiation, MHD, chemical reaction and Hall effect was not examined numerically using implicit finite difference scheme. Hence this thesis is engendered to elucidate the numerical exploration made on transient radiative hydromagnetic natural convective flow of an incompressible electrically conducting fluid past an impulsively started semi-infinite isothermal vertical plate with Hall current and chemical reaction of first order in a rotating system using Crank-Nicolson implicit finite difference scheme. Whenever heat and mass transfer take place simultaneously in a moving fluid, the relations between the fluxes and the driving potentials are of most interesting nature. Chapter 1 consists of the introductory essentials. Chapter 2 deals with an unsteady MHD radiative flow with uniform mass flux in a rotating system. Computed results are presented in the form of graphs which interpret the following observations: Upswing in the magnetic field parameter leads to a fall in the primary velocity, however an opposite behavior was observed for secondary velocity. Rotation retards the velocity profiles, both primary and secondary, whereas local and average skin-frictions are augmented by increasing rotation parameter. Concentration gradient can be reduced by increasing Schmidt number but it leads to a reverse behavior in case of local and average Sherwood number. Local Nusselt number, average Nusselt number and secondary velocity can be enhanced by increasing radiation parameter whereas primary velocity and temperature profiles have the conflicting deeds. Primary velocity is boosted by increasing Grashof numbers whereas secondary velocity is weakened by them. newline