HYDROMAGNETIC OSCILLATORY REACTIVE FLOW THROUGH A POROUS CHANNEL IN A ROTATING FRAME SUBJECT TO CONVECTIVE HEAT EXCHANGE UNDER ARRHENIUS KINETICS

This paper is aimed at studying an unsteady hydromagnetic fl ow of a viscous incompressible electrically conducting reactive fl uid in a permeable channel with asymmetrical convective boundary conditions in a rotating reference frame under the Arrhenius kinetics with neglect of the reactant consumption. Asymmetrical convective heat exchange with the surrounding medium at the channel surfaces follows the Newton law of cooling. A chemical reaction in the fl ow system is exothermic and assumed to follow the Arrhenius rate law. The heat transfer characteristics of the fl ow are considered with viscous and Joule dissipations taken into account. The expressions for the velocity components obtained in closed form are used to calculate the wall shear stresses. The energy equation is tackled numerically with using MATLAB. The effects of the pertinent parameters on the fl ow dynamics are analyzed graphically. The results reveal that the combined effects of magnetic fi eld, rotation, suction/injection, and convective heating substantially affect the fl ow characteristics in the channel.
This paper is aimed at studying an unsteady hydromagnetic fl ow of a viscous incompressible electrically conducting reactive fl uid in a permeable channel with asymmetrical convective boundary conditions in a rotating reference frame under the Arrhenius kinetics with neglect of the reactant consumption. Asymmetrical convective heat exchange with the surrounding medium at the channel surfaces follows the Newton law of cooling. A chemical reaction in the fl ow system is exothermic and assumed to follow the Arrhenius rate law. The heat transfer characteristics of the fl ow are considered with viscous and Joule dissipations taken into account. The expressions for the velocity components obtained in closed form are used to calculate the wall shear stresses. The energy equation is tackled numerically with using MATLAB. The effects of the pertinent parameters on the fl ow dynamics are analyzed graphically. The results reveal that the combined effects of magnetic fi eld, rotation, suction/injection, and convective heating substantially affect the fl ow characteristics in the channel.
Author:  S. Das, R. R. Patra, R. N. Jana
Keywords:  hydromagnetic reactive fl ow, permeable channel, suction/injection, convective boundary conditions, viscous and Joule heating, Arrhenius kinetics, rotating frame
Page:  702-712