Magnetohydrodynamic Non‐Newtonian Fluid Flow, Heat and Mass Transfer in a Porous Channel With Stretching Walls Under the Influence of Thermophoresis, Brownian Motion, and Radiation

ABSTRACT This study explores the magnetohydrodynamic flow of a non‐Newtonian fluid, along with heat and mass transfer dynamics, within a porous channel with stretching walls. The analysis incorporates the effects of thermophoresis, Brownian motion, and radiation to comprehensively evaluate their influence on the system. The governing nonlinear partial differential equations are transformed into nonlinear ordinary differential equations through an appropriate similarity transformation. These equations are subsequently solved using the semi‐numerical Differential Transform Method. To validate the accuracy of the DTM, the computed results for skin friction, the Nusselt number, and the Sherwood number are meticulously examined through graphical visualizations and tabular comparisons with numerical solutions. Additionally, a residual squared error analysis is conducted to further confirm the precision of the employed method. The findings indicate that increasing the Brownian motion and thermophoresis parameters leads to a pronounced enhancement in thermal profiles, while concentration profiles exhibit distinct contrasting trends. Notably, a 400% increase in these parameters results in a 37.73% increase in the heat transfer rate and a 27.06% improvement in the mass transfer rate. The insights gained from this study hold significant potential for biomedical engineering applications, particularly in understanding blood flow behavior within arteries. The results provide valuable implications for examining vessel wall deformations caused by pulsatile flow and fluctuations in blood pressure, offering a foundation for further advancements in physiological fluid dynamics.