Viscous-dissipation effects on the heat transfer in a Poiseuille flow

Aydin O., Avci M.

APPLIED ENERGY, vol.83, no.5, pp.495-512, 2006 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 83 Issue: 5
  • Publication Date: 2006
  • Doi Number: 10.1016/j.apenergy.2005.03.003
  • Journal Name: APPLIED ENERGY
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.495-512
  • Keywords: Poiseuille flow, viscous dissipation, constant heat-flux, constant wall-temperature, FORCED-CONVECTION
  • Karadeniz Technical University Affiliated: Yes

Abstract

In this study, laminar heat-convection in a Poiseuille flow of a Newtonian fluid with constant properties is analyzed by taking the viscous dissipation into account. At first, both hydrodynamically and thermally fully-developed flow case is investigated. Then, consideration is given to thermally-developed laminar forced-convection. The axial heat-conduction in the fluid is neglected. Two different thermal boundary-conditions are considered: the constant heat-flux and the constant wall-temperature. Both the hot-wall and the cold-wall cases are considered. In the literature, the viscous-dissipation effect is commonly represented by the Brinkman number. Several different definitions of the Brinkman number arise depending on the thermal boundary conditions. Either for the thermally fully-developed case or the thermally-developing case (the Graetz problem), temperature distributions and the Nusselt numbers are analytically determined as functions of the Brinkman number. (c) 2005 Elsevier Ltd. All rights reserved.