Maximizing the heat flux in steady unicellular porous media convection

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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.
Original languageEnglish
Title of host publication2011 Summer Program in Geophysical Fluid Dynamics
EditorsNorman Lebovitz, Phil Morrison
Place of PublicationWoods Hole, Massachusetts
Number of pages24
Publication statusPublished - 2011


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


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