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Note on Gill's solution for free convection in a vertical enclosure

Publication ,  Journal Article
Bejan, A
Published in: Journal of Fluid Mechanics
January 1, 1979

This paper develops an alternative approach to evaluating the arbitrary constants found in Gill's solution for the boundary-layer free-convection regime in a vertical rectangular enclosure. The new method consists of calculating the net upward flow of energy through the enclosure and setting it equal to zero near the top and bottom boundaries of the cavity. The present method takes into account the impermeable and adiabatic properties of the horizontal end walls. The overall Nusselt number derived on this new basis is shown to agree well with available experimental and numerical heat-transfer correlations. © 1979, Cambridge University Press. All rights reserved.

Duke Scholars

Published In

Journal of Fluid Mechanics

DOI

EISSN

1469-7645

ISSN

0022-1120

Publication Date

January 1, 1979

Volume

90

Issue

3

Start / End Page

561 / 568

Related Subject Headings

  • Fluids & Plasmas
  • 49 Mathematical sciences
  • 40 Engineering
  • 09 Engineering
  • 01 Mathematical Sciences
 

Citation

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Bejan, A. (1979). Note on Gill's solution for free convection in a vertical enclosure. Journal of Fluid Mechanics, 90(3), 561–568. https://doi.org/10.1017/S0022112079002391
Bejan, A. “Note on Gill's solution for free convection in a vertical enclosure.” Journal of Fluid Mechanics 90, no. 3 (January 1, 1979): 561–68. https://doi.org/10.1017/S0022112079002391.
Bejan A. Note on Gill's solution for free convection in a vertical enclosure. Journal of Fluid Mechanics. 1979 Jan 1;90(3):561–8.
Bejan, A. “Note on Gill's solution for free convection in a vertical enclosure.” Journal of Fluid Mechanics, vol. 90, no. 3, Jan. 1979, pp. 561–68. Scopus, doi:10.1017/S0022112079002391.
Bejan A. Note on Gill's solution for free convection in a vertical enclosure. Journal of Fluid Mechanics. 1979 Jan 1;90(3):561–568.
Journal cover image

Published In

Journal of Fluid Mechanics

DOI

EISSN

1469-7645

ISSN

0022-1120

Publication Date

January 1, 1979

Volume

90

Issue

3

Start / End Page

561 / 568

Related Subject Headings

  • Fluids & Plasmas
  • 49 Mathematical sciences
  • 40 Engineering
  • 09 Engineering
  • 01 Mathematical Sciences