Abstract
This study will focus on the first- and second-law analyses of MHD Couette-Poiseuille flow of water-based nanofluids in a rotating permeable channel. Buongiorno model is employed, and the effects of Hall current, radiation, variable viscosity, thermophoresis, and Brownian motion are integrated with the study. Both nanofluids and channel rotate in coherence with the same angular velocity. The upper wall is maintained at temperature T (1), whereas the lower wall is convectively heated at temperature T (f) with the heat transfer coefficient h (f). Viscous dissipation and Ohmic heating effects are also included in the study. The dimensionless governing equations are solved numerically using a Runge-Kutta-Fehlberg integration scheme with shooting method. The results obtained show that the MHD Couette-Poiseuille flow in a rotating permeable channel is strongly influenced by viscosity variation thermal parameter and magnetic field. It is demonstrated that the total entropy generation increases with magnetic field, rotation, and viscosity variation parameters for both upper and lower surfaces.