Numerical Simulation via Homotopy Perturbation Approach of a Dissipative Squeezed Carreau Fluid Flow Due to a Sensor Surface

This study rigorously examines the interplay between viscous dissipation, magnetic effects, and thermal radiation on the flow behavior of a non-Newtonian Carreau squeezed fluid passing by a sensor surface within a micro cantilever channel, aiming to deepen our understanding of heat transport processes in complex fluid dynamics scenarios. The primary objective is to elucidate how physical operational parameters influence both the velocity of fluid flow and its temperature distribution, utilizing a comprehensive numerical approach. Employing a combination of mathematical modeling techniques, including similarity transformation, this investigation transforms complex partial differential equations into more manageable ordinary ones, subsequently solving them using the homotopy perturbation method. By analyzing the obtained solutions and presenting them graphically, alongside detailed analysis, the study sheds light on the pivotal role of significant parameters in shaping fluid movement and energy distribution. Noteworthy observations reveal a substantial increase in fluid velocity with escalating magnetic parameters, while conversely, a contrasting trend emerges in the temperature distribution, highlighting the intricate relationship between magnetic effects, flow dynamics, and thermal behavior in non-Newtonian fluids. Further, the suction velocity enhance both the local skin friction and Nusselt numbers, whereas the Weissenberg number reduces them, opposite to the effect of the power-law index.