Entropy Analysis of MHD Casson Fluid Flow in a Porous Microchannel with Thermal Radiation by Taylor Wavelet Method

In the current study, we have analysed the characteristics of entropy generation and thermal transfer of magnetohydrodynamic incompressible Casson fluid flowing across a porous inclined microchannel. The intricate interaction of thermal radiation, Joule heating, heat sink/source and viscous forces are captured in addition to convective boundary constraints. By deploying similarity variables, the governing set of equations are reformed to a nondimensional system and are meticulously evaluated through implementing Taylor wavelet operational matrix method, a numerical technique known for its accuracy and computational efficacy for solving non-linear problems. A meticulous analysis is carried out to elucidate the significance of numerous measurable quantities on temperature, velocity, Bejan number and entropy generation profiles, visualized via detailed graphical representations. The key findings demostrates that a rise in Eckert number, Casson parameter, inclination angle, and Grashof number enhances entropy production and a concurrent decrease in the Bejan number, which offers valuable perspectives on reducing irreversibilities and enhancing thermal efficiency in non-Newtonian flows. The observed congruity with existing literature validates both the efficiency and precision of the adopted numerical approach.