Abstract
ABSTRACTThe stability of interfacial flows between electrically conducting fluids is a critical factor in various industrial and natural processes, such as metallurgical casting, magnetohydrodynamic power systems, and geophysical fluid dynamics. This study aims to investigate the linear interfacial stability of two conducting fluids confined between solid planes, focusing on the effects of an applied magnetic field on the lower plate. It seeks to understand how parameters like the Hartmann number, oblique angle, load parameter, and electrical conductivity influence flow stability and velocity profiles. The governing partial differential equations for the flow are derived using fluid mechanics principles and appropriate boundary conditions. Linear stability analysis is employed to analyze the system, leading to the Orr–Sommerfeld equations. These equations are solved numerically using the Chebyshev collocation method in MATLAB to explore the magnetic field's influence.
Published Version
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