Skip to main content
SpringerLink
Log in

Inviscid fluid flow around a submerged circular cylinder induced by free-surface travelling waves

  • Published:
Journal of Engineering Mathematics Aims and scope Submit manuscript

Abstract

We consider the fluid flow induced when free-surface travelling waves pass over a submerged circular cylinder. Perturbation methods are used to formulate a sequence of potential problems that are solved using a Boundary Element method. Favourable comparison is made, where possible, with earlier work. Attention is focused, primarily, upon the time-averaged flow about the cylinder.

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. W.R. Dean, On the reflexion of surface waves by a submerged circular cylinder. Proc. Camb. Phil. Soc. 44 (1948) 483–491.

    Google Scholar 

  2. F. Ursell, Surface waves on deep water in the presence of a submerged circular cylinder. I. Proc. Camb. Phil. Soc. 46 (1950) 141–152.

    Google Scholar 

  3. J.R. Chaplin, Mass transport around a horizontal cylinder beneath waves. J. Fluid Mech. 140 (1984) 175–187.

    Google Scholar 

  4. T.A. Vada, A numerical solution of the second-order wave-diffraction problem for a submerged cylinder of arbitrary shape. J. Fluid. Mech. 174 (1987) 23–37.

    Google Scholar 

  5. J.V. Wehausen and E.V. Laitone, ‘Surface waves’. In S. Flügge, ed., Encyclopedia of Physics, Volume IX, Fluid Dynamics III, Springer-Verlag, (1960).

  6. M. McIver and P. McIver, Second-order wave diffraction by a submerged circular cylinder. J. Fluid Mech. 219 (1990) 519–529.

    Google Scholar 

  7. G.X. Wu, On the second-order wave reflection and transmission by a horizontal cylinder. Appl. Ocean Res. 13 (1991) 58–62.

    Google Scholar 

  8. J.R. Chaplin, Nonlinear forces on a horizontal cylinder beneath waves. J. Fluid Mech. 147 (1984) 449–464.

    Google Scholar 

  9. R.W. Yeung, Numerical methods in free-surface flows. Ann. Rev. Fluid Mech. 14 (1982) 395–442.

    Google Scholar 

  10. M.A. Jaswon and G.T. Symm, Integral Equation Methods in Potential Theory and Elastostatics, Academic Press, London, (1977).

    Google Scholar 

  11. J.R. Chaplin, Orbital flow around a circular cylinder. Part I. Steady streaming in non-uniform conditions. J. Fluid Mech. 237 (1992) 395–411.

    Google Scholar 

  12. B. Yan and N. Riley, Boundary layer flow around a submerged circular cylinder induced by free-surface travelling waves. J. Fluid Mech. (to be published) 1996.

Download references

Author information

Authors and Affiliations

  1. School of Mathematics, University of East Anglia, NR4 7TJ, Norwich

    N. Riley & B. Yan

Authors
  1. N. Riley
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. B. Yan
    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

Riley, N., Yan, B. Inviscid fluid flow around a submerged circular cylinder induced by free-surface travelling waves. J Eng Math 30, 587–601 (1996). https://doi.org/10.1007/BF00036620

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00036620

Keywords

Search

Navigation