Towards the Investigation of Heat Transfer Characteristics in a Viscous Dissipative Shear Driven Flow Through an Annulus: An Analytical Study

Abstract

In the present study, the laminar forced convective heat transfer of a shear‐driven flow through an annulus in a viscous dissipative environment is investigated. The temperature distribution for different constant heat flux boundary conditions is studied, and so are the heat transfer characteristics of a Newtonian fluid under consideration. Following an analytical methodology, closed‐form expressions of the Nusselt number on both walls of the annulus have been devised. It is shown that the effect of viscous dissipation significantly alters the temperature profile, and the consequential effect is reflected in the variation of the Nusselt number. In most of the cases, variation of the Nusselt number exhibits a discontinuity in behavior at different locations within the annulus where an equilibrium state between the energy is attained due to shear heating and the heat supplied by the wall. However, it has been observed that the greater viscous dissipative heat causes a rise in the temperature and consequently a fall in the rate of heat transfer. © 2013 Wiley Periodicals, Inc. Heat Trans Asian Res, 42(7): 569–588, 2013; Published online in Wiley Online Library (wileyonlinelibrary.com/journal/htj). DOI 10.1002/htj.21057