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Deviations from unity of the ratio of the turbulent Schmidt to Prandtl numbers in stratified atmospheric flows over water surfaces

Gabriel G. Katul1,2,*, Dan Li3, Heping Liu4, and Shmuel Assouline5

  • 1Nicholas School of the Environment, Box 80328, Duke University, Durham, North Carolina 27708, USA
  • 2Department of Civil and Environmental Engineering, Duke University, Durham, North Carolina 27708, USA
  • 3Department of Earth and Environment, Boston University, Boston, Massachusetts 02215, USA
  • 4Department of Civil and Environmental Engineering, Post Office Box 642910, Washington State University, Pullman, Washington 99164-2910, USA
  • 5Department of Environmental Physics and Irrigation Institute of Soils, Water and Environment Sciences, Agricultural Research Organization, Volcani Center, Post Office Box 6, Bet Dagan 50250, Israel

  • *Corresponding author: gaby@duke.edu
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Phys. Rev. Fluids 1, 034401 – Published 20 July, 2016

DOI: https://doi.org/10.1103/PhysRevFluids.1.034401

Abstract

Expressions for the ratio of the turbulent Schmidt (Sct) to Prandtl (Prt) numbers are derived for an idealized atmospheric surface layer flow over water surfaces. Conditions where the ansatz Sct/Prt≈1 are then discussed. It is shown that Sct/Prt≈1 is consistent with the active role of temperature in turbulence generation or destruction even when perfect similarity between turbulent transport of heat and water vapor is absent.

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Phys. Rev. Fluids 1, 034401– Published 20 July, 2016
  • Received 12 April 2016
Article part of CHORUS

©2016 American Physical Society

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