Validation of the local thermal equilibrium assumption in forced convection of non-Newtonian fluids through porous channels

S. A. Khashan, M. A. Al-Nimr

Research output: Contribution to journalArticlepeer-review

30 Citations (Scopus)

Abstract

In this paper, we assess the validity of the local thermal equilibrium assumption in the non-Newtonian forced convection flow through channels filled with porous media. For this purpose, the problem is solved numerically using local thermal non-equilibrium and non-Darcian models. Numerical solutions obtained over broad ranges of representative dimensionless parameters are utilized to map conditions at which the local thermal equilibrium assumption can or cannot be employed. The circumstances of a higher modified Peclet number, a lower modified Biot number, a lower fluid-to-solid thermal conductivity ratio, a lower power-law fluid index, and a lower microscopic and macroscopic frictional flow resistance coefficients, are identified as unfavorable circumstances for the local thermal equilibrium (LTE) condition to hold. Quantitative LTE validity maps that reflect the proportional effect of each parameter as related to others are presented.

Original languageEnglish
Pages (from-to)291-305
Number of pages15
JournalTransport in Porous Media
Volume61
Issue number3
DOIs
Publication statusPublished - Dec 2005

Keywords

  • Forced convection
  • Local thermal equilibrium
  • Local thermal non-equilibrium
  • Non-Newtonian fluids
  • Porous channel
  • Porous medium
  • Thermal behavior

ASJC Scopus subject areas

  • Catalysis
  • Chemical Engineering(all)

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