The Effects of Thermal Memory on a Transient MHD Buoyancy-Driven Flow in a Rectangular Channel with Permeable Walls: A Free Convection Flow with a Fractional Thermal Flux

This study investigates the effects of magnetic induction, ion slip and Hall current on flow linear viscous fluids in a rectangular buoyant channel. In hydro-magnetic scenario with permeable conducting walls, one wall has temperature variation that changes over time, while other keeps constant temperature; research focuses this situation. Asymmetric heating suction/injection are also examined study. Using Laplace transform, analytical solutions domain for temperature, velocity induced field have been determined. The Stehfest approach used to find numerical real by reversing transforms. generalized thermal process makes use an original fractional constitutive equation, which flux is influenced history gradients, impact both fluid’s behavior. influence memory heat transfer, fluid movement induction was highlighted comparing model classic based Fourier’s law.