Laminar forced convection with viscous dissipation in a concentric annular duct


Avci M. , AYDIN O.

COMPTES RENDUS MECANIQUE, vol.334, no.3, pp.164-169, 2006 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 334 Issue: 3
  • Publication Date: 2006
  • Doi Number: 10.1016/j.crme.2006.02.002
  • Title of Journal : COMPTES RENDUS MECANIQUE
  • Page Numbers: pp.164-169
  • Keywords: computational fluid mechanics, annular flow, aspect ratio, viscous dissipation, Brinkman number, HEAT-TRANSFER, PIPE-FLOW

Abstract

Forced convection heat transfer in fully developed flows of viscous dissipating fluids in concentric annular ducts is analyzed analytically. Special attention has been paid to the effect of the viscous dissipation. Two different cases of the thermal boundary conditions are considered: uniform heat flux at the outer wall and adiabatic inner wall (Case A) and uniform heat flux at the inner wall and adiabatic outer wall (Case B). Solutions for the velocity and temperature distributions and the Nusselt number are obtained for different values of the aspect ratio and the Brinkman number. The present analytical results for the case without the viscous dissipation effect are compared with those available in the literature and an excellent agreement is observed.