Similarity Analysis for a Heated Ferrofluid flow in Magnetic Field

Abstract: The aim of this paper is to introduce new results on the magneto-thermomechanical interaction between heated viscous incompressible ferrofluid and a cold wall in the presence of a spatially varying magnetic field. Similarity transformation is applied to convert the governing nonlinear boundary layer equations into coupled nonlinear ordinary differential equations. This system is numerically solved using higher derivative method. The effects of governing parameters corresponding to various physical conditions are investigated. Numerical results are represented for the distributions of velocity and temperature, for the dimensionless wall skin friction and for heat transfer coef?cients. Our results show excellent agreement with previous studies and obtained two solutions in some cases.