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

AYDIN O., Avci M.

APPLIED ENERGY, cilt.83, sa.5, ss.495-512, 2006 (SCI İndekslerine Giren Dergi) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 83 Konu: 5
  • Basım Tarihi: 2006
  • Doi Numarası: 10.1016/j.apenergy.2005.03.003
  • Sayfa Sayıları: ss.495-512


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.