Heat Flux Vector Potential in Convective Heat Transfer

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Abstract

The heat function concept introduced by Kimura and Bejan (1983, "The Heatline Visualization of Convective Heat Transfer," ASME J. Heat Transfer, 105(4), pp. 916-919) for two-dimensional (2D) heat transfer is being extended in this note to three dimensions. It is shown that a heat flux vector potential exists and can be used in three-dimensional (3D) heat convection problems. It is further shown that this heat flux vector potential degenerates to the heat function introduced by Kimura and Bejan (1983, "The Heatline Visualization of Convective Heat Transfer," ASME J. Heat Transfer, 105(4), pp. 916-919) when the heat convection is two-dimensional.

Original languageEnglish (US)
Article number051701
JournalJournal of Heat Transfer
Volume140
Issue number5
DOIs
StatePublished - May 1 2018

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Keywords

  • Heat Flux
  • heat function
  • Heatlines
  • vector potential

ASJC Scopus subject areas

  • Materials Science(all)
  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering

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