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Simple Models for Laminar Thermally Developing Slug Flow in Non-Circular Ducts and Channels

[+] Author Affiliations
Y. S. Muzychka

Memorial University of Newfoundland, St. John’s, NL, Canada

Edmond Walsh, Pat Walsh

University of Limerick, Limerick, Ireland

Paper No. IMECE2009-10484, pp. 1867-1878; 12 pages
doi:10.1115/IMECE2009-10484
From:
  • ASME 2009 International Mechanical Engineering Congress and Exposition
  • Volume 9: Heat Transfer, Fluid Flows, and Thermal Systems, Parts A, B and C
  • Lake Buena Vista, Florida, USA, November 13–19, 2009
  • Conference Sponsors: ASME
  • ISBN: 978-0-7918-4382-6 | eISBN: 978-0-7918-3863-1
  • Copyright © 2009 by ASME

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.

Copyright © 2009 by ASME

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