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Convection in a Porous Circular Cavity

[+] Author Affiliations
Kamyar Mansour

Amirkabir University of Technology, Tehran, Iran

Paper No. HT-FED2004-56658, pp. 461-467; 7 pages
doi:10.1115/HT-FED2004-56658
From:
  • ASME 2004 Heat Transfer/Fluids Engineering Summer Conference
  • Volume 1
  • Charlotte, North Carolina, USA, July 11–15, 2004
  • Conference Sponsors: Heat Transfer Division and Fluids Engineering Division
  • ISBN: 0-7918-4690-3 | eISBN: 0-7918-3740-8
  • Copyright © 2004 by ASME

abstract

This investigation in a porous circular cavity driven by heating in the horizontal direction is analyzed by a self-consistence boundary layer theory. We use Darcy’s law for this cavity filled with porous material. The solution is governed by dimensionless parameter Darcy-Rayleigh number. There are a lot of ways to approach boundary layer limit see Mansour [1]. Our model is based on the fact that the convective flow of fluid driven by buoyancy is carried entirely by the cross-flow in the core. In other words, we assume a thermally stratified core. This model is based on analyses of a rectangular cavity containing a viscous fluid (Gill [2]) carried over to porous material (Weber [3], Walker et al [4]). The global heat flux, the Nusselt number, is found asymptotically as the 1/2 power of Darcy-Rayleigh number, which is in consistence with other Results.

Copyright © 2004 by ASME
Topics: Convection , Cavities

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