Viscous dissipation effects on the flow of a radiating gas between concentric elliptic cylinders

Abstract

The solution of a boundary layer flow problem often neglects the effects of viscous dissipation. However, the present treatment incorporates these effects with a view to assessing their global contributions to velocity and temperature distributions in the flow field. Hence, fluid motion induced between two differentially heated concentric elliptic cylinders is investigated under transient condition and significant viscous dissipation. When the temperatures of the cylinder are large enough for radiative heat transfer to be significant. The solution approach is via an explicit finite difference algorithm on a PC 1512 micro-computer. The numerical results obtained for the two cases show that the velocity and the temperature of the fluid are increased as a result of increase in thermal internal energy of the fluid caused by viscous dissipation.

Journal of the Nigerian Association of Mathematical Physics Vol. 10 2006: pp. 299-304