Heat Transfer in FHD Boundary Layer Flow withTemperature Dependent Viscosity over a Rotating Disk

Abstract

The present study is carried out to examine the effects of temperature dependent variable viscosity on the three dimensional steady axi-symmetric Ferro- hydrodynamic (FHD) boundary layer flow of an incompressible electrically non- conducting magnetic fluid in the presence of a rotating disk. The disk is subjected to an externally applied magnetic field and is maintained at a uniform temperature. The nonlinear coupled partial differential equations governing the boundary layer flow are non dimensionalized using similarity transformations and are reduced to a system of coupled ordinary differential equations. To study the effects of temper- ature dependent viscosity on velocity profiles and temperature distribution within the generated boundary layer, solution of the problem is obtained by employing Fi- nite Difference and Shooting methods, subsequently. Beside the flow profiles, skin friction coefficients, rate of heat transfer at the wall and the boundary layer dis- placement thickness are also calculated. All of the obtained results are validated, and discussed quantitatively and through graphs giving their physical interpreta-