Ferrofluid Flow in the Presence of Magnetic Dipole

Abstract

The aim of this paper is to introduce new results on 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 distributions of velocity and temperature, for dimensionless wall skin friction and for heat transfer coefficients. Two bifurcate solutions have been obtained and one of the two solutions compares well with previous studies.