Heat and momentum transport scalings in horizontal convection

Olga Shishkina, Siegfried Grossmann, Detlef Lohse

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Abstract

In a horizontal convection (HC) system heat is supplied and removed exclusively through a single, top, or bottom, surface of a fluid layer. It is commonly agreed that in the studied Rayleigh number (Ra) range, the convective heat transport, measured by the Nusselt number, follows the Rossby (1965) scaling, which is based on the assumptions that the HC flows are laminar and determined by their boundary layers. However, the universality of this scaling is questionable, as these flows are observed to become more turbulent with increasing Ra. Here we propose a theoretical model for heat and momentum transport scalings with Ra, which is based on the Grossmann and Lohse (2000) ideas, applied to HC flows. The obtained multiple scaling regimes include in particular the Rossby scaling and the ultimate scaling by Siggers et al. (2004). Our results have bearing on the understanding of the convective processes in many geophysical systems and engineering applications.
Original languageEnglish
Pages (from-to)1219-1225
Number of pages7
JournalGeophysical research letters
Volume43
Issue number3
DOIs
Publication statusPublished - 2016

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momentum
convection
scaling
heat
Rayleigh number
laminar flow
boundary layer
engineering
fluid
Nusselt number
boundary layers
fluids

Keywords

  • METIS-317349
  • IR-101115

Cite this

Shishkina, Olga ; Grossmann, Siegfried ; Lohse, Detlef . / Heat and momentum transport scalings in horizontal convection. In: Geophysical research letters. 2016 ; Vol. 43, No. 3. pp. 1219-1225.
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Heat and momentum transport scalings in horizontal convection. / Shishkina, Olga; Grossmann, Siegfried; Lohse, Detlef .

In: Geophysical research letters, Vol. 43, No. 3, 2016, p. 1219-1225.

Research output: Contribution to journalArticleAcademicpeer-review

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T1 - Heat and momentum transport scalings in horizontal convection

AU - Shishkina, Olga

AU - Grossmann, Siegfried

AU - Lohse, Detlef

PY - 2016

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