Combined Effect of Viscous Dissipation on the Coupling of Conduction and Mixed Convection Along a Vertical Slender Hollow Cylinder

Abstract

An analysis is presented to investigate the influences of viscous dissipation and Joule heating in the entire thermo-fluid dynamic field resulting from the coupling of bouncy forced flow with conduction along one side of a heated/cooled vertical slender hollow cylinder. The governing equations are transformed into dimensionless non-similar equations by using a set of suitable transformations. The non-similar solutions using the Keller box method are obtained. The wall conduction parameter, the buoyancy parameter, the viscous dissipation parameter and the magneto-hydrodynamic parameter are the main parameters. For various values of these parameters the local skin friction and local heat transfer parameters are determined. The validity of the methodology is checked by comparing the results with these available in the open literature and a fairly good agreement is observed.