Skip to main content
SpringerLink
Log in

Unsteady waves in a viscous fluid of finite depth

  • Published:
Fluid Dynamics Aims and scope Submit manuscript

Abstract

Here we study the plane and three-dimensional problems of unsteady waves which arise on the surface of a viscous fluid of finite depth under the influence of a velocity pulse applied on the bottom of the basin.

The problem is considered as the simplest scheme for studying, with account for the effect of viscosity, the propagation of waves of the tsunami type which result from an underwater shock.

Similar problems on the propagation of waves which arise from initial surface disturbances are considered in [1–9].

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. N. Ye. Kochin, “The theory of Cauchy-Poisson waves”, Collected Works, Vol. 2, Izd-vo AN SSSR, 86–104, 1949.

  2. L. N. Sretenskii, “A hydrodynamic problem associated with the tsunami problem”, Tr. Morsk. gidrofiz. in-ta AN SSSR, vol. 27, 1963.

  3. S. S. Voit, “Propagation of unsteady long waves in a rotating basin of variable depth”, Tr. Morsk. gidrof. in-ta AN SSSR, vol. 27, 1963.

  4. L. N. Sretenskii, “Waves on the surface of a viscous fluid”, Part 1, Tr. TsAGI, no. 541, 1941.

  5. A. K. Nikitin and S. A. Podrezov, “The three-dimensional problem of waves on the surface of a viscous fluid of infinite depth”, PMM, vol. 28, no. 3, 1964.

  6. L. V. Cherkesov, “Three-dimensional Cauchy-Poisson problem for waves in a viscous fluid”, PMM, vol. 29, no. 6, 1965.

  7. N. N. Moiseev and V. V. Rumyantsev, Dynamics of a Body with Cavities Containing Fluid [in Russian], Izd-vo Nauka, 1965.

  8. A. G. Shmidt, “Oscillations of a viscous fluid of finite depth resulting from an initial displacement of its free surface”, Zh. vychisl. matem. i matem. fiz., vol. 5, no. 2, 1965.

  9. L. V. Cherkesov, “The effect of viscosity on propagation of waves of the tsunami type”, Izv. AN SSSR, Fizika atm. i okeana, vol. 2, no. 12, 1966.

Download references

Author information

Authors and Affiliations

  1. Minsk

    L. V. Cherkesov

Authors
  1. L. V. Cherkesov
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Cherkesov, L.V. Unsteady waves in a viscous fluid of finite depth. Fluid Dyn 2, 47–50 (1967). https://doi.org/10.1007/BF01019535

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01019535

Keywords

Search

Navigation