Heat Transfer in Laminar Flow of Bingham Plastic Fluid with Internal Heat Generation in Concentric Annulus

Abstract

This paper deals with an analysis of flow characteristics and heat transfer of a Bingham plastic fluid in laminar flow through concentric annuli. The friction factor obtained for a given Hedström number in fully established flow varies with the radius ratios of the annular space and of the bounds of the plug region. The Nusselt numbers at the two wall surfaces in both fully developed and thermal entrance regions are calculated under the conditions of uniform internal heat generation and uniform but mutually differing heat fluxes at the two wall surfaces. Analytical results show that the Nusselt numbers become negative or infinite under certain thermal conditions at the walls.