Boundary Layer Flow and Heat Transfer of a Dusty Fluid over an Exponentially Stretching Sheet
B.J.Gireesha . *
Department of Studies and Research in Mathematics, Kuvempu University, Shankaraghatta-577 451, Shimoga, Karnataka, INDIA.
G.M.Pavithra .
Department of Studies and Research in Mathematics, Kuvempu University, Shankaraghatta-577 451, Shimoga, Karnataka, INDIA.
C.S.Bagewadi .
Department of Studies and Research in Mathematics, Kuvempu University, Shankaraghatta-577 451, Shimoga, Karnataka, INDIA.
*Author to whom correspondence should be addressed.
Abstract
The aim of this paper is to analyze the effect of magnetic field on a boundary layer flow and heat transfer of a dusty fluid over an exponentially stretching surface with an exponential temperature distribution. The governing boundary layer equations are reduced into system of coupled non-linear ordinary differential equations with the help of similarity transformation. The transformed equations are then solved numerically using RKF-45 method. The effects of various physical parameters such as local fluid-particle interaction parameter, Prandtl Number, Eckert Number and Magnetic parameter on velocity and temperature profiles are discussed in detail.
Keywords: Boundary layer flow, heat transfer, exponentially stretching sheet, dusty fluid, numerical solution.