Dynamic response of a weakly ionized fluid in a vibrating Riga channel exposed to intense electromagnetic rotation

The utilization of external magnetic or electric fields, particularly through a Riga setup, markedly enhances flow dynamics by mitigating frictional forces and turbulent fluctuations, thereby facilitating superior flow management. Such improvements are especially beneficial in optimizing the operational efficiency of machinery and turbines. Our research focuses on the behavior of a weakly ionized fluid within a porous, infinitely extended Riga channel (or electromagnetic channel) set in a rotational framework affected by Hall and ion-slip electric fields. This model integrates the cumulative repulsions of an abruptly applied pressure gradient, electromagnetic forces, electromagnetic radiation, and chemical reactions. The physical configuration of the model features a stationary right wall and a left wall subjected to transverse vibrations, establishing a complex flow environment. This scenario is analytically modeled using time-dependent partial differential equations, with the Laplace transform (LT) method applied to achieve a closed-form solution for the flow controlling equations. Through detailed graphical and tabular data, the study explores the impact of various pivotal parameters on the model’s flow traits and quantities. Our results indicate that an upswing in the modified Hartmann number significantly enhances fluid flow within the channel, with the primary flow component showing marked improvement as Hall and ion-slip parameters amplify, and secondary flow component diminishing. Additionally, species concentration lowers with higher Schmidt numbers and chemical reaction rates, while an expanded modified Hartmann number correlate with enhanced shear stresses at the channel wall. Moreover, an elevation in the radiation parameter reduces the rate of heat transfer (RHT) at the vibrating wall, whereas RHT at the stationary wall improves. This study has profound implications across several fields, notably in fusion energy research, spacecraft propulsion systems, satellite operations, aerospace engineering, and advanced manufacturing technologies.