Turbulence structure and mass transfer across a sheared air–water interface in wind-driven turbulence

The mass transfer mechanism across a sheared air–water interface without bubble entrainment due to wave breaking was experimentally investigated in terms of the turbulence structure of the organized motions in the interfacial region in a wind-wave tank. The transfer velocity of the carbon dioxide (CO2) on the water side was measured through reaeration experiments of CO2, and the fluid velocities in the air and water flows were measured using both a hot-wire anemometer and a laser-Doppler velocimeter. The results show that the mass transfer across a sheared air–water interface is more intensively promoted in wind shear, compared to an unsheared interface. However, the effect of the wind shear on the mass transfer tends to saturate in the high-shear region in the present wind-wave tank, where the increasing rate of mass transfer velocity with the wind shear decreases rapidly. The effect of the wind shear on the mass transfer can be well explained on the basis of the turbulence structure near the air–water interface. That is, surface-renewal eddies are induced on the water side through the high wind shear on the air–water interface by the strong organized motion generated in the air flow above the interface, and the renewal eddies control the mass transfer across a sheared interface. The mass transfer velocity is correlated with the frequency of the appearance of the surface-renewal eddies, as it is in open-channel flows with unsheared interfaces, and it increases approximately in proportion to the root of the surface-renewal frequency. The surface-renewal frequency increases with increasing the wind shear, but for high shear the rate of increase slows. This results in the saturated effect of the wind shear on the mass transfer in the high-shear region in the present wind-wave tank. The mass transfer velocity can be well estimated by the surface-renewal eddy-cell model based on the concept of the time fraction when the surface renewal occurs.

[1]  L. Merlivat,et al.  Gas exchange across an air‐water interface: Experimental results and modeling of bubble contribution to transfer , 1983 .

[2]  Sanjoy Banerjee,et al.  The effect of boundary conditions and shear rate on streak formation and breakdown in turbulent channel flows , 1990 .

[3]  J. Pearson,et al.  On gas absorption into a turbulent liquid , 1967 .

[4]  R. Higbie,et al.  The Rate of Absorption of a Pure Gas into a Still Liquid during Short Periods of Exposure , 1935 .

[5]  Yasuhiro Murakami,et al.  The relationship between surface-renewal and bursting motions in an open-channel flow , 1989, Journal of Fluid Mechanics.

[6]  Thomas J. Hanratty,et al.  Influence of the amplitude of a solid wavy wall on a turbulent flow. Part 1. Non-separated flows , 1977, Journal of Fluid Mechanics.

[7]  Y. Murakami,et al.  Mass transfer into a turbulent liquid across the zero‐shear gas‐liquid interface , 1990 .

[8]  Hiroshi Kawamura,et al.  Turbulent structure in water under laboratory wind waves , 1988 .

[9]  W. Broecker,et al.  Gas exchange rates between air and sea , 1974 .

[10]  A. Watson,et al.  Air–sea gas exchange in rough and stormy seas measured by a dual-tracer technique , 1991, Nature.

[11]  W. Asher,et al.  Prediction of gas/water mass transport coefficients by a surface renewal model , 1991 .

[12]  T. K. Cheung,et al.  The turbulent layer in the water at an air—water interface , 1988, Journal of Fluid Mechanics.

[13]  B. Jähne,et al.  Measurements of gas exchange and momentum transfer in a circular wind-water tunnel , 1979 .

[14]  Taro Takahashi,et al.  Gas exchange and CO2 flux in the tropical Atlantic Ocean determined from 222Rn and pCO2 measurements , 1985 .

[15]  ORDERED MOTION IN THE TURBULENT BOUNDARY LAYER OVER WIND WAVES , 1988 .

[16]  Sanjoy Banerjee,et al.  On the condition of streak formation in a bounded turbulent flow , 1992 .

[17]  M. Rashidi,et al.  Mechanisms of heat and mass transport at gas-liquid interfaces , 1991 .

[18]  Mark J. McCready,et al.  Effect of air shear on gas absorption by a liquid film , 1985 .

[19]  William J. Plant,et al.  Growth and equilibrium of short gravity waves in a wind-wave tank , 1977, Journal of Fluid Mechanics.

[20]  E. Plate,et al.  Wind action on water standing in a laboratory channel , 1966, Journal of Fluid Mechanics.

[21]  Young H. Lee,et al.  Mass transfer in eddies close to air‐water interface , 1986 .

[22]  P. Alfredsson,et al.  On the detection of turbulence-generating events , 1984, Journal of Fluid Mechanics.

[23]  Ron F. Blackwelder,et al.  On the wall structure of the turbulent boundary layer , 1976, Journal of Fluid Mechanics.

[24]  P. Liss Processes of gas exchange across an air-water interface☆ , 1973 .

[25]  Larry F. Bliven,et al.  Relationship between gas exchange, wind speed, and radar backscatter in a large wind‐wave tank , 1991 .