Unsteady MHD Flow of Non-Newtonian Nanofluids in Porous Media

This book presents a comprehensive study of unsteady magnetohydrodynamic (MHD) flow of non-Newtonian nanofluids in porous media, emphasizing advanced transport phenomena relevant to modern engineering systems. It explores the combined influence of heat and mass transfer, Hall current, rotation, chemical reaction, viscous dissipation, Joule heating, and cross-diffusion mechanisms such as Soret and Dufour effects. The analysis incorporates various non-Newtonian fluid models, including Maxwell, Casson, and Jeffrey fluids, to capture complex rheological behavior under diverse physical conditions. The governing nonlinear partial differential equations are transformed using similarity techniques and solved through analytical methods such as perturbation techniques, as well as numerical approaches including the Runge-Kutta method with shooting schemes. The study systematically examines velocity, temperature, and concentration profiles, and evaluates key engineering quantities such as skin friction coefficient, Nusselt number, and Sherwood number. The findings provide deeper insights into fluid flow control, thermal management, and mass transport processes in applications.