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Numerical studies on alluvia settlement, considering hydrodynamic interaction

  • Mathematical Modelling of Marine Systems
  • Published:
Physical Oceanography

Abstract

The paper addresses the model problem on the motion of alluvia clouds in an infinite fluid. Deposition fractions are described in close relationship with one another. For this type of calculation, only the finiteness of particles dimensions is taken into consideration. The motion of alluvia has been found to be closely dependent on the ratio between the size of granules. Time dependence of separation periods of fractions on the dimensionless radius for different densities of samples has been studied. It has been established that for particles of similar dimensions, calculation of the rate of sedimentation using Stokes's formula is not possible.

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References

  1. Gorsline, D. S. and Swift, D. J. P. Shelf sediment dynamics.Nat. Overview, Nov. 2–6 (1976).

  2. Continental Shelves. Ecosystem of the World, Vol. 27. Amsterdam-New York-Tokyo: ELSEVIER (1988).

  3. Goldberg, G. A., Zats, V. I., Atsikhovskaya, Zh. M.,et al. Modelling of Self-cleaning of Shelf Waters. Leningrad: Gidrometeoizdat (1991).

    Google Scholar 

  4. Hockny, P. and Istwood, J.Numerical Modelling by the Method of Particles. Moscow: Mir (1987).

    Google Scholar 

  5. Struminsky, V. V., Smirnov, L. P., Kulbitsky, Yu. N.,et al. The laws of mechanics of dispersive media and two-phase systems in connection with problems raising the efficiency of technological processes. The method of classical mechanics. Moscow (1979) (Preprint No. 1 SMNS USSR Acad. Sci.).

  6. Kulbitsky, Yu. N. and Sinitsyna, N. N. Consideration of hydrodynamic interaction in the process of mixture separation. Depos. manuscript. No. 1501-82. Moscow: VINITI (1982).

    Google Scholar 

  7. Kulbitsky, Yu. N. About hydrodynamic interaction of particles in the Stokes equation approximation. Moscow (1986) (Preprint No. 15 SMNS USSR Acad. Sci.).

  8. Guskov, O. B. and Zolotov, A. V. About the sedimentation of spherical particles in a cylinder.PMM (1987)51, 968–972.

    Google Scholar 

  9. Guskov, O. B. About the interaction of particles in a viscous fluid having bounds. In:Hydrodynamic Problems of Technological Processes. Moscow: Nauka (1988), pp. 74–80.

    Google Scholar 

  10. Belov, A. A. and Kulbitsky, Yu. N. Results of theoretical, numerical and experimental investigations of the hydrodynamic interactions of groups. Proc. XIV Conf. Moscow Phys. Tech. Inst. Depos. manuscript No. 5763-B89. Moscow: VINITI (1989).

    Google Scholar 

  11. Khorguani, V. G. The determination of the coefficient of entrainment of clouds of particles having comparable sizes, using modelling techniques.Izv. Akad. Nauk SSSR, Fiz. Atmos. Okeana (1965),1, 208–213.

    Google Scholar 

  12. Khorguani, V. G. About the nature and velocity of sinking of a system of identical particles.Izv. Akad. Nauk SSSR, Fiz. Atmos. Okeana (1966),11, 394–401.

    Google Scholar 

  13. Khorguani, V. G. About the overflowing of a dropping system of identical particles, at Re<10−1.Trudy Vysokogom. Geofiz. Inst. (1969)13, 97–100.

    Google Scholar 

  14. Lamb, G.Hydrodynamics. Moscow: GITTL (1945).

    Google Scholar 

  15. Tam, C. K. W.J. Fluid Mech. (1969)38, 537–547.

    Article  Google Scholar 

  16. Parthasarathy, R. N. and Faeth, G. M. Turbulent diffusion of particles in self-generated homogeneous turbulence.J. Fluid Mech. (1990),220, 515–538.

    Article  Google Scholar 

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Translated by Vladimir A. Puchkin.

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Sinitsyna, N.N. Numerical studies on alluvia settlement, considering hydrodynamic interaction. Phys. Oceanogr. 9, 373–382 (1998). https://doi.org/10.1007/BF02522733

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