Bioconvection Flow and Hall Current Assessment on the Ree-Eyring Nanofluid in the Darcy Forchheimer Medium with Irreversibility Analysis

This investigation conducts a noteworthy analysis of the hall current impact on Darcy Forchheimer Ree-Eyring nanomaterial past a stretching sheet incorporating thermal source, radiation, activation energy, binary chemical reaction, viscous dissipation, convective heat transfer, and suction velocity. Integration of motile microorganisms and entropy generation into nanofluidic environments provides the novelty of this research. The objective is to explore the influences of the aforementioned impacts on the velocity profile, thermal profile, concentration profile, microorganisms profile, entropy generation and Bejan number. The flow problem is solved analytically via the Homotopy Analysis Method (HAM) and numerically by employing the Mathematica’s ND-solve command. To validate the accuracy and reliability of the HAM technique with the findings attained from the ND-solve command, comparison has been performed in tables. The significant findings demonstrate that the tangential and cross flow velocity profile appears to be lifted ascendant direction with enhancing hall factor. Also, the entropy generation distribution elevates for rising radiation and Weissenberg factor. The heat distribution profile boosting with growing values of radiation factor and Eckert number. The rate of thermal transport near the surface exhibits a climbing order with the space-dependent heat source. But the opposite order is followed by temperature-dependent heat source. Practical applications of this investigation embrace material science, chemical engineering, advanced manufacturing, and process optimization for industrial or engineering processes.