Hall Current's Impact on Ionized Ethylene Glycol Containing Metal Nanoparticles Flowing Through Vertical Permeable Channel

From engineering and industrial perspectives, the transportation of non-Newtonian nanofluids in a magnetic environment has become an emergent research area. Motivated by its incessant boosting applications in advanced industries and technologies, a mathematical model is proposed to address the consequences of Hall currents on an unsteady magnetohydrodynamic flow of a partially ionized ethylene glycol (EG) transporting silver nanoparticles (Ag-NPs) through a vertical permeable channel subject to a strong transverse magnetic field, Darcy's resistance, and thermal radiation. Ethylene glycol (EG) is considered as the base fluid. A uniform suction or injection is imposed at the channel walls. The thermal radiation effect is embraced in the energy equation. Closed-form solutions of the leading dimensionless equations are determined. The impacts of emerging parameters upon the flow profiles are examined and physically argued via profile graphs. The wall shear stresses and the rate of heat transfer are computed numerically, and numerical data on varying thermo-physical parameters are documented in tables. After a detailed analysis, it is documented that an augmentation in Hall parameter gives rise to the profiles of velocity components and shear stresses. Enlarging Casson parameter and Darcy number both urge the magnitude of the velocity components. A graphical comparison is provided for EG and Ag-EG nanofluid. The relatively lowest temperature is noted for Ag-EG nanofluid in comparison with EG. The current model may be featured in industrial processes, food processing, intelligent lubrication technology, high-energy cooling systems, auto cooling machines, etc. This study is very prolific to the analysts to understand the dynamics and heat transfer characteristics of non-Newtonian nanofluids through a straight channel subject to a strong magnetic field.