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Optimal distribution of discrete heat sources on a wall with natural convection

Publication ,  Journal Article
da Silva, AK; Lorente, S; Bejan, A
Published in: International Journal of Heat and Mass Transfer
January 1, 2004

This paper is an application of the constructal method to the discovery of the optimal distribution of discrete heat sources cooled by laminar natural convection. The global objective is to maximize the global conductance between the wall and the fluid, or to minimize the hot-spot temperatures when the total heat generation rate and global system dimensions are specified. Two scenarios are investigated: (i) a large number of small heat sources mounted on a vertical wall facing a fluid reservoir, and (ii) a small number of finite-size heat sources mounted on the inside of the side wall of a two-dimensional enclosure. It is shown that the optimal distribution is not uniform (the sources are not equidistant), and that as the Rayleigh number increases the heat sources placed near the tip of a boundary layer should have zero spacings. In both (i) and (ii), the optimal configuration of the wall with discrete sources is generated by the pursuit of maximal global performance subject to global constraints. © 2003 Elsevier Ltd. All rights reserved.

Duke Scholars

Published In

International Journal of Heat and Mass Transfer

DOI

ISSN

0017-9310

Publication Date

January 1, 2004

Volume

47

Issue

2

Start / End Page

203 / 214

Related Subject Headings

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

Citation

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da Silva, A. K., Lorente, S., & Bejan, A. (2004). Optimal distribution of discrete heat sources on a wall with natural convection. International Journal of Heat and Mass Transfer, 47(2), 203–214. https://doi.org/10.1016/j.ijheatmasstransfer.2003.07.007
Silva, A. K. da, S. Lorente, and A. Bejan. “Optimal distribution of discrete heat sources on a wall with natural convection.” International Journal of Heat and Mass Transfer 47, no. 2 (January 1, 2004): 203–14. https://doi.org/10.1016/j.ijheatmasstransfer.2003.07.007.
da Silva AK, Lorente S, Bejan A. Optimal distribution of discrete heat sources on a wall with natural convection. International Journal of Heat and Mass Transfer. 2004 Jan 1;47(2):203–14.
da Silva, A. K., et al. “Optimal distribution of discrete heat sources on a wall with natural convection.” International Journal of Heat and Mass Transfer, vol. 47, no. 2, Jan. 2004, pp. 203–14. Scopus, doi:10.1016/j.ijheatmasstransfer.2003.07.007.
da Silva AK, Lorente S, Bejan A. Optimal distribution of discrete heat sources on a wall with natural convection. International Journal of Heat and Mass Transfer. 2004 Jan 1;47(2):203–214.
Journal cover image

Published In

International Journal of Heat and Mass Transfer

DOI

ISSN

0017-9310

Publication Date

January 1, 2004

Volume

47

Issue

2

Start / End Page

203 / 214

Related Subject Headings

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