Maximizing the heat flux in steady unicellular porous media convection

Research output: Chapter in Book/Report/Conference proceedingChapter

Abstract

The primary aim of the present study is to determine the maximum heat transport attainable in steady 2D unicellular porous media convection. By focusing on this restricted class of flows we are able to use an efficient iterative numerical scheme to systematically probe the way in which the heat transport depends on the inter-plume spacing. Guided by our numerical results, we also propose a large-Ra asymptotic reduction of the governing equations that yields the asymptotic structure of the solutions giving the maximum heat transport.
LanguageEnglish
Title of host publication2011 Summer Program in Geophysical Fluid Dynamics
EditorsNorman Lebovitz, Phil Morrison
Place of PublicationWoods Hole, Massachusetts
Pages389-412
Number of pages24
Publication statusPublished - 2011

Fingerprint

Heat Transport
Heat Flux
Porous Media
Convection
heat flux
Porous materials
porous medium
Heat flux
spacing
plume
convection
probe
Iterative Scheme
Numerical Scheme
Spacing
Governing equation
Probe
Numerical Results
Hot Temperature

Keywords

  • heat flux
  • convection in porous media
  • flow dynamics
  • heat transport
  • inter-plume spacing

Cite this

Corson, L. T. (2011). Maximizing the heat flux in steady unicellular porous media convection. In N. Lebovitz, & P. Morrison (Eds.), 2011 Summer Program in Geophysical Fluid Dynamics (pp. 389-412). Woods Hole, Massachusetts.
Corson, Lindsey T. / Maximizing the heat flux in steady unicellular porous media convection. 2011 Summer Program in Geophysical Fluid Dynamics. editor / Norman Lebovitz ; Phil Morrison. Woods Hole, Massachusetts, 2011. pp. 389-412
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Corson, LT 2011, Maximizing the heat flux in steady unicellular porous media convection. in N Lebovitz & P Morrison (eds), 2011 Summer Program in Geophysical Fluid Dynamics. Woods Hole, Massachusetts, pp. 389-412.

Maximizing the heat flux in steady unicellular porous media convection. / Corson, Lindsey T.

2011 Summer Program in Geophysical Fluid Dynamics. ed. / Norman Lebovitz; Phil Morrison. Woods Hole, Massachusetts, 2011. p. 389-412.

Research output: Chapter in Book/Report/Conference proceedingChapter

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Corson LT. Maximizing the heat flux in steady unicellular porous media convection. In Lebovitz N, Morrison P, editors, 2011 Summer Program in Geophysical Fluid Dynamics. Woods Hole, Massachusetts. 2011. p. 389-412