Effects of Ohmic heating, induced magnetic field and Newtonian heating on magnetohydrodynamic generalized Couette flow of Jeffrey nanofluid between two parallel horizontal plates with convective cooling

Abstract

In this article, the effects of Ohmic heating, induced magnetic field and Newtonian heating on MHD generalized Couette flow of Jeffrey nanofluid between two horizontal plates with convective cooling has been investigated. The mathematical model used for the magnetohydrodynamic generalized Couette flow of pure water as the fluid phase containing Copper (Cu) as nanoparticles takes into account the effects of viscous dissipation, Soret and Dufour. The numerical solution of the system of nonlinear partial differential equations controlling the flow was performed using the finite difference method. To acquire the flow variable profiles, such as velocity, induced magnetic field, temperature, and concentration profiles graphically, the resulting numerical schemes are simulated in MATLAB software. The findings reveal that an increase in the Schmidt number causes a decrease in the concentration profiles, rise in the Jeffrey parameter causes a decrease in the velocity profiles. The temperature profiles also rise as a result of an increase in the Ohmic heating parameter and the heat generation parameter. Induced magnetic field profiles decreases with an increase in magnetic Prandtl number. The results demonstrate that Cu - water shows significant impact over nanofluid on temperature and velocity in the generalized Couette channel. The results of this study are valuable because they can be applied to the development of many chemical technologies, such as the production of polymers, MHD pumps, food processing, chemical catalytic reactors, MHD flow meters, astronomy, and lubrication. The results are compared with standard literature and show good agreement.