Impact of Hall Current on the Entropy Generation of Radiative MHD Mixed Convection Casson Fluid

Abstract

One of the fundamental problems in engineering processes is the efficient utilization of energy during convection in fluid flow. Studies show that entropy generation exists for all fluid transfer processes and entropy generation destroys useful energy. Furthermore, it has been discovered that some pertinent flow parameters might be chosen in order to minimize entropy generation inside the system. In view of this, the fully developed electrically conducting free convection Casson fluid flow formed by two infinite vertical parallel plates with thermal radiation, Hall current and rotation effects is investigated. The governing equations have been obtained and transformed by suitable transformation variables. Semi-analytical solutions via differential transform technique are obtained using relevant boundary conditions. The results are utilized to calculate fluid irreversibility and Bejan number. The impacts of Hall parameter, rotation parameter, thermal radiation, Casson parameter, Hartman number, Schmidt number and chemical reaction together with skin friction, Nusselt number and Sherwood number are discussed and presented via plots and tables. Generally, entropy generation is discouraged at the upper walls of the channel with higher values of Casson parameter, Schimdt number and chemical reaction parameter while Hall current parameter boost entropy generation in the entire flow channel. Furthermore, Heat transfer irreversibility dominates entropy generation due to a rise in the values of chemical reaction parameter and Schmidt number.