Simple models for laminar thermally developing slug flow in non-circular ducts and channels

Y. S. Muzychka, Edmond Walsh, Pat Walsh

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

Solutions to the classical Graetz slug or plug flow problem in non-circular ducts are examined. These solutions have applications where a constant uniform velocity distribution exists across a channel or duct. These are most often realized in the laminar flow of low Prandtl number liquids, such as liquid metals, and low Reynolds number flows through porous media. Expressions are developed for a number of applications using the asymptotic correlation method of Churchill and Usagi. These expressions vary depending on the definition used for the dimensionless heat transfer coefficient in the case of constant wall temperature boundary condition (T), and the dimensionless wall temperature for the constant flux boundary conditions, (H) and (H1). Finally simple expressions are developed for predicting the thermal entrance length and fully developed flow Nu values for non-circular ducts.

Original languageEnglish
Title of host publicationProceedings of the ASME International Mechanical Engineering Congress and Exposition 2009, IMECE 2009
PublisherAmerican Society of Mechanical Engineers (ASME)
Pages1867-1878
Number of pages12
EditionPART C
ISBN (Print)9780791843826
DOIs
Publication statusPublished - 2010
EventASME 2009 International Mechanical Engineering Congress and Exposition, IMECE2009 - Lake Buena Vista, FL, United States
Duration: 13 Nov 200919 Nov 2009

Publication series

NameASME International Mechanical Engineering Congress and Exposition, Proceedings
NumberPART C
Volume9

Conference

ConferenceASME 2009 International Mechanical Engineering Congress and Exposition, IMECE2009
Country/TerritoryUnited States
CityLake Buena Vista, FL
Period13/11/0919/11/09

Keywords

  • Graetz flow
  • Heat exchangers
  • Heat sinks
  • Heat transfer coefficient
  • Laminar flow
  • Modelling
  • Plug flow
  • Porous media
  • Slug flow

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