Mohammad Shareef2025-11-172025978-93-6884-936-0http://136.232.12.194:4000/handle/123456789/1542In Advanced Studies in Mathematics and Statistics Editor: Mobin Ahmad"This chapter presents a comprehensive investigation into the influence of magnetic field and internal heat generation on unsteady Magnetohydrodynamic (MHD) flow within a rotating system. The study is focused on flow past an infinitely long vertical plate maintained at a constant temperature, under isothermal boundary conditions. The working fluid considered is incompressible, viscous, and electrically conducting, with the assumption of a low Reynolds number to simplify the analysis. The medium surrounding the plate is porous, allowing for the interaction between the fluid and the permeable structure. To explore the physical behaviour of the flow, a set of coupled partial differential equations governing momentum, energy, and mass transfer is formulated. These equations incorporate the effects of magnetic fields, rotational forces, thermal diffusion, and mass diffusion. An analytical approach is employed to obtain exact solutions for velocity, temperature, and concentration profiles. The impact of key physical parameters; such as the porosity of the medium, magnetic field strength, heat source intensity, and rotation rate on the flow characteristics is thoroughly examined."en-USMATHEMATICSPorous MediumHall CurrentMagnetic FieldRotationheat transferRadiationBook chapter