MHD Inclination Effects on Unsteady Basic Gaseous Micro-Flow Past on Sinusoidally Moving Horizontal Plate

Abstract

This study investigates the impact of magnetohydrodynamic (MHD) inclination on unsteady gaseous micro-flow past a sinusoidally moving horizontal plate in the slip flow regime. The exact solution of the momentum equation with the corresponding boundary conditions and the expression for skin friction are obtained and solved analytically. The effects of varying magnetic field inclinations, phase angle, Hartman number, driving force frequency, and Knudsen number have been considered. Numerical and graphical simulations show that MHD inclination significantly influences flow behavior, leading to velocity reductions and fluid friction enhancements. The findings of this research have important implications for designing and optimizing micro-scale devices, such as micro-pumps, micro-heat exchangers, and micro-valves, in engineering applications.