MAGNETOHYDRODYNAMIC NATURAL CONVECTION FLOW OF A FLUID WITHIN AN INCLINED CHANNEL

Abstract

The paper investigates the stability of magnetohydrodynamic (MHD) natural convection flow occurring within a channel inclined at an angle α. This physical system is governed by momentum and energy conservation equations, with flow driven by thermal buoyancy forces (Gr) and moderated by a resistive Lorentz force produced by an external magnetic field (M). Under steady-state conditions, the fluid moves parallel to the walls with a specific velocity profile (w₀​(x)) and a defined temperature distribution (θ_e). The analysis evaluates the stability of this configuration by introducing small perturbations (k) and applying linearized equations to determine how the system responds to these disturbances