Gas mass transfer for stratified flows

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We analyzed gas absorption and release in water bodies using existing surface renewal theory. We show a new relation between turbulent momentum and mass transfer from gas to water, including the effects of waves and wave roughness, by evaluating the equilibrium integral turbulent dissipation due to energy transfer to the water from the wind. Using Kolmogoroff turbulence arguments the gas transfer velocity, or mass transfer coefficient, is then naturally and straightforwardly obtained as a non-linear function of the wind speed drag coefficient and the square root of the molecular diffusion coefficient. In dimensionless form, the theory predicts the turbulent Sherwood ... continued below

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14 p.

Creation Information

Duffey, R.B. & Hughes, E.D. June 1995.

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  • Duffey, R.B. Brookhaven National Lab., Upton, NY (United States)
  • Hughes, E.D. CSA, Inc., Idaho Falls, ID (United States)

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Description

We analyzed gas absorption and release in water bodies using existing surface renewal theory. We show a new relation between turbulent momentum and mass transfer from gas to water, including the effects of waves and wave roughness, by evaluating the equilibrium integral turbulent dissipation due to energy transfer to the water from the wind. Using Kolmogoroff turbulence arguments the gas transfer velocity, or mass transfer coefficient, is then naturally and straightforwardly obtained as a non-linear function of the wind speed drag coefficient and the square root of the molecular diffusion coefficient. In dimensionless form, the theory predicts the turbulent Sherwood number to be Sh{sub t} = (2/{radical}{pi})Sc{sup 1/2}, where Sh{sub t} is based on an integral dissipation length scale in the air. The theory confirms the observed nonlinear variation of the mass transfer coefficient as a function of the wind speed; gives the correct transition with turbulence-centered models for smooth surfaces at low speeds; and predicts experimental data from both laboratory and environmental measurements within the data scatter. The differences between the available laboratory and field data measurements are due to the large differences in the drag coefficient between wind tunnels and oceans. The results also imply that the effect of direct aeration due to bubble entrainment at wave breaking is no more than a 20% increase in the mass transfer for the highest speeds. The theory has importance to mass transfer in both the geo-physical and chemical engineering literature.

Physical Description

14 p.

Notes

INIS; OSTI as DE95013511

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  • ASME/JSME annual summer meeting of the Fluids Engineering conference, Hilton Head, SC (United States), 13-17 Aug 1995

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  • Other: DE95013511
  • Report No.: BNL--61801
  • Report No.: CONF-950853--5
  • Grant Number: AC07-76ID01570;AC02-76CH00016
  • Office of Scientific & Technical Information Report Number: 82419
  • Archival Resource Key: ark:/67531/metadc779382

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Office of Scientific & Technical Information Technical Reports

Reports, articles and other documents harvested from the Office of Scientific and Technical Information.

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Creation Date

  • June 1995

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  • Dec. 3, 2015, 9:30 a.m.

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  • July 21, 2016, 6:59 p.m.

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Duffey, R.B. & Hughes, E.D. Gas mass transfer for stratified flows, article, June 1995; Idaho Falls, Idaho. (digital.library.unt.edu/ark:/67531/metadc779382/: accessed September 25, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.