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Title: Gas Transfer Across Air‐Water Interfaces in Inland Waters: From Micro‐Eddies to Super‐Statistics

Journal Article · · Water Resources Research
ORCiD logo [1]; ORCiD logo [1]; ORCiD logo [2]; ORCiD logo [3]; ORCiD logo [4]; ORCiD logo [5]
  1. Department of Civil and Environmental Engineering Duke University Durham NC USA
  2. Faculty of Science Institute for Atmospheric and Earth System Research/Physics University of Helsinki Helsinki Finland
  3. Department of Civil and Environmental Engineering Washington State University Pullman WA USA
  4. Department of Civil and Environmental Engineering Cornell University Ithaca NY USA
  5. Department of Civil and Environmental Engineering Princeton University Princeton NJ USA
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Abstract In inland water covering lakes, reservoirs, and ponds, the gas exchange of slightly soluble gases such as carbon dioxide, dimethyl sulfide, methane, or oxygen across a clean and nearly flat air‐water interface is routinely described using a water‐side mean gas transfer velocity , where overline indicates time or ensemble averaging. The micro‐eddy surface renewal model predicts , where is the molecular Schmidt number, is the water kinematic viscosity, and is the waterside mean turbulent kinetic energy dissipation rate at or near the interface. While has been reported across a number of data sets, others report large scatter or variability around this value range. It is shown here that this scatter can be partly explained by high temporal variability in instantaneous around , a mechanism that was not previously considered. As the coefficient of variation in increases, must be adjusted by a multiplier that was derived from a log‐normal model for the probability density function of . Reported variations in with a macro‐scale Reynolds number can also be partly attributed to intermittency effects in . Such intermittency is characterized by the long‐range (i.e., power‐law decay) spatial auto‐correlation function of . That varies with a macro‐scale Reynolds number does not necessarily violate the micro‐eddy model. Instead, it points to a coordination between the macro‐ and micro‐scales arising from the transfer of energy across scales in the energy cascade.

Sponsoring Organization:
USDOE
Grant/Contract Number:
SC0022072
OSTI ID:
2475539
Journal Information:
Water Resources Research, Journal Name: Water Resources Research Journal Issue: 11 Vol. 60; ISSN 0043-1397
Publisher:
American Geophysical Union (AGU)Copyright Statement
Country of Publication:
United States
Language:
English

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