Hydromagnetic free convection heat transfer of a viscous incompressible electrically conducting heat generating fluid‐flow past a vertical porous plate in the presence of free‐stream oscillations. I

Abstract

Abstract Unsteady hydromagnetic boundary layer flow past a non‐conducting infinite vertical porous plate in presence of a transverse magnetic field is considered, taking into account the effect of the heat sources on the free convection‐flow and heat transfer of a viscous incompressible and electrically conducting fluid. The flow is subjected to a constant suction through the porous plate, and the difference between the plate temperature and the free stream is taken greater, equal or less than zero. The free stream oscillates in time about a constant mean value and the magnetic Reynolds number is taken to be small enough so that the induced magnetic field is negligible. Analytical expressions for the mean velocity, the mean temperature and their related quantities are obtained. The influence of the various dimensionless parameters entering into the problem is extensively discussed. A comparative study with the hydrodynamic case is also made whenever necessary.