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Title: A Kolmogorov-Brutsaert structure function model for evaporation into a turbulent atmosphere

Abstract

Abstract In 1965, Brutsaert proposed a model that predicted mean evaporation rate from rough surfaces to scale with the 3/4 power law of the friction velocity ( ) and the square‐root of molecular diffusivity ( D m ) for water vapor. In arriving at these results, a number of assumptions were made regarding the surface renewal rate describing the contact durations between eddies and the evaporating surface, the diffusional mass process from the surface into eddies, and the cascade of turbulent kinetic energy sustaining the eddy renewal process itself. The working hypothesis explored here is that is a direct outcome of the Kolmogorov scaling for inertial subrange eddies modified to include viscous cutoff thereby bypassing the need for a surface renewal assumption. It is demonstrated that Brutsaert's model for may be more general than its original derivation implied.

Authors:
ORCiD logo [1]; ORCiD logo [2]
  1. Duke Univ., Durham, NC (United States)
  2. Washington State Univ., Pullman, WA (United States)
Publication Date:
Research Org.:
Duke Univ., Durham, NC (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Biological and Environmental Research (BER)
OSTI Identifier:
1466034
Alternate Identifier(s):
OSTI ID: 1402402
Grant/Contract Number:  
SC0006967; SC0011461; DE‐SC0006967; DE‐SC0011461; NSF‐AGS‐1112938
Resource Type:
Accepted Manuscript
Journal Name:
Water Resources Research
Additional Journal Information:
Journal Volume: 53; Journal Issue: 5; Journal ID: ISSN 0043-1397
Publisher:
American Geophysical Union (AGU)
Country of Publication:
United States
Language:
English
Subject:
54 ENVIRONMENTAL SCIENCES; evaporation; turbulent atmosphere; surface renewal; Kolmogorov; structure function

Citation Formats

Katul, Gabriel, and Liu, Heping. A Kolmogorov-Brutsaert structure function model for evaporation into a turbulent atmosphere. United States: N. p., 2017. Web. doi:10.1002/2016WR020006.
Katul, Gabriel, & Liu, Heping. A Kolmogorov-Brutsaert structure function model for evaporation into a turbulent atmosphere. United States. https://doi.org/10.1002/2016WR020006
Katul, Gabriel, and Liu, Heping. Tue . "A Kolmogorov-Brutsaert structure function model for evaporation into a turbulent atmosphere". United States. https://doi.org/10.1002/2016WR020006. https://www.osti.gov/servlets/purl/1466034.
@article{osti_1466034,
title = {A Kolmogorov-Brutsaert structure function model for evaporation into a turbulent atmosphere},
author = {Katul, Gabriel and Liu, Heping},
abstractNote = {Abstract In 1965, Brutsaert proposed a model that predicted mean evaporation rate from rough surfaces to scale with the 3/4 power law of the friction velocity ( ) and the square‐root of molecular diffusivity ( D m ) for water vapor. In arriving at these results, a number of assumptions were made regarding the surface renewal rate describing the contact durations between eddies and the evaporating surface, the diffusional mass process from the surface into eddies, and the cascade of turbulent kinetic energy sustaining the eddy renewal process itself. The working hypothesis explored here is that is a direct outcome of the Kolmogorov scaling for inertial subrange eddies modified to include viscous cutoff thereby bypassing the need for a surface renewal assumption. It is demonstrated that Brutsaert's model for may be more general than its original derivation implied.},
doi = {10.1002/2016WR020006},
journal = {Water Resources Research},
number = 5,
volume = 53,
place = {United States},
year = {Tue Apr 11 00:00:00 EDT 2017},
month = {Tue Apr 11 00:00:00 EDT 2017}
}

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Cited by: 9 works
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Works referencing / citing this record:

An Advanced Method Based on Surface Renewal Theory to Estimate the Friction Velocity and the Surface Heat Flux
journal, December 2018


Impact of phenomenological theory of turbulence on pragmatic approach to fluvial hydraulics
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