Skip to main content
SpringerLink
Log in

Potential flow past a sinusoidal wall of finite amplitude

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

Summary

The classical regular perturbation problem of plane potential flow past a sinusoidal wall is pursued via series extension. Fifty terms of the series in non-dimensional wall height ε are produced by computer. Analysis reveals convergence to be limited by a branch point at ε=±i. The series is recast using an Euler transformation and also summed using Padé approximants to yield accurate answers for higher real values of ε.

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. C. Kaplan, Incompressible flow past a sinusoidal wall of finite amplitude, NACA IN 3096 (1954).

  2. T. Theodorsen and I.E. Garrick, General potential theory of arbitrary wing sections, NACA Rep. 452 (1983).

  3. G.G. Stokes, Supplement to a paper on the theory of oscillatory waves, Mathematical and Physical Papers, Vol. I, Cambridge University Press (1880) 314–326.

  4. G. Bollmann, Potential flow along a wavy wall and transonic controversy, J. Eng. Math. 16 (1982) 197–207.

    Google Scholar 

  5. D.S. Gaunt and A.T. Guttmann, Asymptotic analysis of coefficients, Phase Transitions and Critical Phenomena, Vol. 3, Academic Press, 1974.

  6. M.Van Dyke, Analysis and improvement of perturbation series, Quart. J. Mech. Appl. Math. 28 (1974) 423–450.

    Google Scholar 

  7. C. Domb and M.F. Sykes, On the susceptibility of a ferromagnetic above the Curies point, Proc. Roy Soc. Lond. A A 240 (1957) 214–218.

    Google Scholar 

  8. G.A. Baker, The theory and application of the Padé approximant method, Advances in Theoretical Physics, Vol. I, Academic Press (1965) 1–58.

Download references

Author information

Authors and Affiliations

  1. Department of Mechanical Engineering, University of New Orleans, 70148, New Orleans, LA, USA

    N. L. Whitley

Authors
  1. N. L. Whitley
    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

Whitley, N.L. Potential flow past a sinusoidal wall of finite amplitude. J Eng Math 18, 207–217 (1984). https://doi.org/10.1007/BF00039189

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00039189

Keywords

Search

Navigation