Turbulent diffusion in a shearing oscillatory flow

Zhang Fagao; Takashi Ichiye

doi:10.1007/BF02850430

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Turbulent diffusion in a shearing oscillatory flow

OriginalPaper | Updated：2023-05-16

- Turbulent diffusion in a shearing oscillatory flow
- Turbulent diffusion in a shearing oscillatory flow
- 海洋湖沼学报（英文） 1986年4卷第2期页码：127-138
- Affiliations：
  
  1. Institute of Oceanology
  2. Dept. of Oceanography
- Author bio：
- Funds：
  
  Contribution No. 1306 from the Institute of Oceanology, Academia Sinica. Received July 12, 1985
- DOI：10.1007/BF02850430
  中图分类号：
- 纸质出版：1986
- Accepted：
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Turbulent diffusion in a shearing oscillatory flow[J]. 海洋湖沼学报（英文）, 1986,4(2):127-138.

Fagao, Z., Ichiye, T. Turbulent diffusion in a shearing oscillatory flow., Chin. J. Ocean. Limnol. 4, 127–138 (1986). https://doi.org/10.1007/BF02850430
Turbulent diffusion in a shearing oscillatory flow[J]. 海洋湖沼学报（英文）, 1986,4(2):127-138. DOI： 10.1007/BF02850430.

Fagao, Z., Ichiye, T. Turbulent diffusion in a shearing oscillatory flow., Chin. J. Ocean. Limnol. 4, 127–138 (1986). https://doi.org/10.1007/BF02850430 DOI：

摘要

Abstract

The diffusion in a shearing oscillatory flow from an instantaneous surface point source is considered. An analytical solution is obtained by Fourier transform. The results show that

for three dimensional diffusion in an oscillatory flow with constant shear

the distribution of the contaminant follows the multivariate Gaussian distribution rule. When the frequency is very high

or the time very short

the shear does not influence the diffusion. For moderate values of time

there are fluctuations with longitudinal variance. For large values of time the longitudinal variance increases as t

and the peak concentration decreases as t−1.5

which are faster than those in a flow without shear

but much slower than those in a steady flow

where the longitudinal variance increases as t3 and the peak concentration decreases as t−2.5. The contaminant patch is elongated in the longitudinal direction of the shear flow and moves back and forth with the water motion.

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references

Bowden, K.F., 1965. Horizontal mixing in the sea due to a shearing current.J. Fluid Mech. 21(2): 83–95.

Carter, H. H. and A. Okubo, 1965. A study of the physical processes of movement and dispersion in the Cape Kennedy area. Final report under the U.S. Atomic Energy Commision, Chesapeake Bay Institute, The Johns Hopkins University. Rept. No. NYO-2793-1.

Chatwin, P.C., 1975. On the longitudinal dispersion of passive contaminent.J. Fluid Mech. 71(3): 513–527.

Csanady, G. T., 1969. Diffusion in an Ekuman Layer.J. Atmosp. 26(3): 411–426.

Stommer, H., 1949. Horizontal diffusion due to occanic turbulence.J. Mar. Res. 8(3):199–225.

Yong, W. R. and P. B. Rhines, 1982. Shear flow dispersion, internal waves and horizontal mixing in the ocean.J. Phys. Oceanog. 12(6):515–527.

Zhang Fagao, 1980. Shear diffusion from an in#stanlaneous point source in Ekman drift current field of sea surface layer.Oceanologia et Limnologia Sinica 11(4):287–294. (in Chinese with English abstract)

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