Skip to main content
SpringerLink
Log in

Asymmetric stokes flow past a spherical cap

  • Original Papers
  • Published:
Zeitschrift für angewandte Mathematik und Physik ZAMP Aims and scope Submit manuscript

Abstract

Ranger's solution of the asymmetric streating Stokes' flow past a spherical cap is analyzed in detail. It is found that most caps exhibit wakes within their concavities, but the dividing streamsurface does not always emanate from the rim. Drag and torque formulae valid for all cap angles are derived and these are in agreement with the known results in the limiting cases when the cap becomes a sphere and a circular disc.

Zusammenfassung

Die Lösung von Ranger für die unsymmetrische Stokes-Strömung um eine Kugelhaube wurde im Detail analysiert. Es wurde gefunden, dass die meisten Kugelhauben in ihrem Hohlraum Albösungsgebiete aufweisen, doch beginnt die Ablösungs-Stromfläche nicht immer am Rand der Haube. Widerstand und Moment wurde für alle Haubenformen berechnet; die bekannten Resultate der Kugel und der Kreisscheibe ergeben sich als Grenzfälle.

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. D. Collins, Mathematika10, 72, 1963.

    Google Scholar 

  2. J. M. Dorrepaal, M. E. O'Neill, K. B. Ranger, J. Fluid Mech. 1976. (In press).

  3. H. Lamb,Hydrodynamics, 6th ed., Dover Publ., New York, 1945, p. 604.

    Google Scholar 

  4. H. K. Moffatt, J. Fluid Mech.18, 1, 1964.

    Google Scholar 

  5. K. B. Ranger,M.R.C. Technical Summary Report #1225, University of Wisconsin, Madison, Wisconsin, 1972.

    Google Scholar 

  6. K. B. Ranger, Z. angew. Math. Phys.24, 801, 1973.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Dept of Mathematics, Old Dominion University, Norfolk, Virginia

    J. Mark Dorrepaal

Authors
  1. J. Mark Dorrepaal
    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

Dorrepaal, J.M. Asymmetric stokes flow past a spherical cap. Journal of Applied Mathematics and Physics (ZAMP) 27, 739–748 (1976). https://doi.org/10.1007/BF01595125

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01595125

Keywords

Search

Navigation