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Penetrative convection in porous medium bounded by a horizontal wall with hot and cold spots

Publication ,  Journal Article
Poulikakos, D; Bejan, A
Published in: International Journal of Heat and Mass Transfer
January 1, 1984

This paper reports a series of numerical simulations and a scale analysis of the penetrative convection occurring along the unevenly heated horizontal wall of a semi-infinite porous medium. Modeling the problem as two-dimensional, and assuming that the horizontal wall temperature varies between alternating hot and cold spots, it is found that the natural circulation consists of a row of counter-rotating cells situated near the wall. Each cell penetrates vertically into the porous medium to a distance approximately equal to λ Ra 1 2λ, where λ is the distance between a hot spot and the adjacent cold spot, and Ragl is the Darcymodified Rayleigh number based on λ and on the temperature difference between each spot and the porous medium situated far enough from the wall. The ability of each cell to convect heat between two adjacent spots increases with the Rayleigh number. The results of numerical simulations in the Raλ range 1-100 are found to support a number of scaling laws derived based on pure scaling arguments. © 1984.

Duke Scholars

Published In

International Journal of Heat and Mass Transfer

DOI

ISSN

0017-9310

Publication Date

January 1, 1984

Volume

27

Issue

10

Start / End Page

1749 / 1757

Related Subject Headings

  • Mechanical Engineering & Transports
  • 51 Physical sciences
  • 49 Mathematical sciences
  • 40 Engineering
  • 09 Engineering
  • 02 Physical Sciences
  • 01 Mathematical Sciences
 

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Poulikakos, D., & Bejan, A. (1984). Penetrative convection in porous medium bounded by a horizontal wall with hot and cold spots. International Journal of Heat and Mass Transfer, 27(10), 1749–1757. https://doi.org/10.1016/0017-9310(84)90157-1
Poulikakos, D., and A. Bejan. “Penetrative convection in porous medium bounded by a horizontal wall with hot and cold spots.” International Journal of Heat and Mass Transfer 27, no. 10 (January 1, 1984): 1749–57. https://doi.org/10.1016/0017-9310(84)90157-1.
Poulikakos D, Bejan A. Penetrative convection in porous medium bounded by a horizontal wall with hot and cold spots. International Journal of Heat and Mass Transfer. 1984 Jan 1;27(10):1749–57.
Poulikakos, D., and A. Bejan. “Penetrative convection in porous medium bounded by a horizontal wall with hot and cold spots.” International Journal of Heat and Mass Transfer, vol. 27, no. 10, Jan. 1984, pp. 1749–57. Scopus, doi:10.1016/0017-9310(84)90157-1.
Poulikakos D, Bejan A. Penetrative convection in porous medium bounded by a horizontal wall with hot and cold spots. International Journal of Heat and Mass Transfer. 1984 Jan 1;27(10):1749–1757.
Journal cover image

Published In

International Journal of Heat and Mass Transfer

DOI

ISSN

0017-9310

Publication Date

January 1, 1984

Volume

27

Issue

10

Start / End Page

1749 / 1757

Related Subject Headings

  • Mechanical Engineering & Transports
  • 51 Physical sciences
  • 49 Mathematical sciences
  • 40 Engineering
  • 09 Engineering
  • 02 Physical Sciences
  • 01 Mathematical Sciences