An inclined magnetic field effect on entropy production of non-miscible Newtonian and micropolar fluid in a rectangular conduit

Abstract

The present work concerns with an entropy production of two-phase non-miscible Newtonian and micropolar fluid in a rectangular conduit. In this model, the flow regime is divided in two distinct parts in such a way that Newtonian fluid takes place in the lower portion of the channel whereas non-Newtonian micropolar fluid flows in upper half of the channel. The walls of rectangular channel are kept at constant temperature and a constant pressure gradient is applied at the entrance zone of the rectangular conduit. The no slip boundary conditions are imposed on static walls of the channel and linear velocity, shear stress, microrotational velocity and thermal flux are considered continuous at the interface part of the channel. An analytical solution of the concerned governing partial differential equation which has been reduced in an ordinary differential equation for the considered problem, is obtained. Moreover, the momentum and energy equations are utilized to obtain the entropy production number and Bejan number. However, the impact of numerous hydrodynamic and thermal parameters such as inclination angle parameter, Reynolds number, micropolarity parameter, Hartmann number, viscous dissipation parameter on the fluid flow, thermal exchange, entropy production number and Bejan number are figure out graphically. The findings is verified with the previously estabished results. The present analysis is utilized in petroleum industries.