FORCED CONVECTION FLOW OF VISCOUS DISSIPATIVE POWER-LAW FLUIDS IN A PLANE DUCT Part 1. Hydrodynamically and Thermally Fully Developed Flow


AVCI M., AYDIN O.

ISI BILIMI VE TEKNIGI DERGISI-JOURNAL OF THERMAL SCIENCE AND TECHNOLOGY, vol.28, no.2, pp.9-16, 2008 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 28 Issue: 2
  • Publication Date: 2008
  • Journal Name: ISI BILIMI VE TEKNIGI DERGISI-JOURNAL OF THERMAL SCIENCE AND TECHNOLOGY
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
  • Page Numbers: pp.9-16
  • Keywords: Non-Newtonian fluid, Power-law fluid, Viscous dissipation, Plane duct, Constant heat flux, Constant wall temperature, WALL HEAT-FLUX, ASYMPTOTIC-BEHAVIOR, BOUNDARY-CONDITIONS, CIRCULAR DUCTS, GRAETZ PROBLEM, PIPE
  • Recep Tayyip Erdoğan University Affiliated: Yes

Abstract

In this study, an analysis of laminar forced convection in a plane duct for a power-law fluid with constant thermophysical properties is performed by taking the viscous dissipation into account. This part of the study, Part 1, examines both hydrodynamically and thermally fully developed flow case. Two different thermal boundary conditions are considered: the constant heat flux (HI boundary condition) and the constant wall temperature (T boundary condition). The combined and interactive influences of the power-law index and the Brinkman number on temperature distribution and the Nusselt numbers are analytically determined both for the wall heating and cooling cases at T and H1 boundary conditions. Singularities are observed in Nu-Br-n behaviors and these are discussed in terms of the energy balance.