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On the coefficient of shear diffusion

Its time-dependence

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Abstract

The approximate relation of the coefficient of shear diffusion against time is shown by means of a two-level model.

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Abbreviations

H :

water depth

k z :

vertical diffusion coefficient

K〉:

apparent, time-averaged, horizontal diffusion coefficient

t :

time

x, z :

orthogonal coordinates illustrated in Fig. 1

U(z) :

horizontal current velocity given as the linear function ofz

σ x 2 :

horizontal variance of the concentration

References

  • Corrsin, S. (1953): Remarks on turbulent heat transfer. Proc. First Iowa Symposium on Thermodynamics, Iowa State University.

  • Okubo, A. (1966): A note on horizontal diffusion from an instantaneous source in a nonuniform flow. J. Oceanogr. Soc. Japan,22, 35–64.

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  • Okubo, A. (1968): Some remarks on the importance of the “shear effect” on horizontal diffusion. J. Oceanogr. Soc. Japan,24, 60–69.

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  • Taylor, G.I. (1953): Dispersion of solutable matter in solvent flowing slowly through a tube. Proc. Roy. Soc., London, A219, pp. 186–203.

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Oonishi, Y., Kunishi, H. On the coefficient of shear diffusion. Journal of the Oceanographical Society of Japan 33, 165–167 (1977). https://doi.org/10.1007/BF02109688

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  • DOI: https://doi.org/10.1007/BF02109688

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