MATHEMATICAL MODELING OF CHANNEL FLOWS WITH HEAT IN AN INDUCED MAGNETIC FIELD

Abstract

An analytical study of channel flow with heat in an induced magnetic field in cylindrical domain has been done. The flow is considered along the channel axis, and is taken to be axi-symmetric. No-slip boundary condition is considered for velocity while the temperature has non-zero positive constants on the boundary. The physics of the problem is termed by the usual MHD equations with suitable boundary conditions. The basic equation governing the flow is that of Partial Differential Equation which was later reduced using an appropriate transformation. The two coupled system were solved analytical using Frobenius method and method of undetermined coefficient to obtain two solutions of flow variables. The expressions of these flow variables were obtained graphically.