Heat transport in rotating convection

Peter Constantin, Chris Hallstrom, Vachtang Putkaradze

Research output: Contribution to journalArticlepeer-review

20 Scopus citations

Abstract

We derive upper bounds for the Nusselt number in infinite Prandtl number rotating convection. The bounds decay alge-braically with Taylor number to the conductive heat transport value; the decay rate depends on boundary conditions. We show moreover that when the rotation is fast enough the purely conductive solution is the globally and nonlinearly attractive fixed point; the critical rotation rate also depends on boundary conditions. The influence of the boundary conditions is explained physically in terms of Ekman layers.

Original languageEnglish (US)
Pages (from-to)275-284
Number of pages10
JournalPhysica D: Nonlinear Phenomena
Volume125
Issue number3-4
DOIs
StatePublished - 1999

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Condensed Matter Physics
  • Applied Mathematics

Keywords

  • Convection
  • Turbulence

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