Skip to main content
Log in

On a point source in a rotating fluid

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

Summary

When a point source of (weak) strength ε is placed in a rotating fluid, Barua [5] and Squire [6] described the local effects which exist in a domain of size O1/3) about the source. Here we show (a) how this can be joined with the linear solution of Moore and Saffman [8] at distances larger than OE −1) from the source (E is the Ekman number), and (b) that when the source is placed between two parallel discs, a vortex develops with its axis through the source.

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

Access this article

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

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. R. Hide, On source-sink flows in a rotating fluid, J. Fluid Mech. 32 (1968) 737–764.

    Google Scholar 

  2. V. Barcilon, On motion due to sources and sinks distributed along the vertical boundary of a rotating fluid, J. Fluid Mech. 27 (1967) 551–560.

    Google Scholar 

  3. D.A. Bennetts and L.M. Hocking, On non-linear Ekman and Stewartson layers in a rotating fluid, Proc. Roy. Soc. A 333 (1973) 469–489.

    Google Scholar 

  4. H.P. Greenspan, The theory of rotating fluids, Cambridge University Press, Cambridge, England (1968).

    Google Scholar 

  5. S.N. Barua, A source in a rotating fluid, Quart. J. Mech. Appl. Math. 8 (1955) 22–29.

    Google Scholar 

  6. H.B. Squire, in: Surveys in Mechanics, ed. BatchelorG.K. and DaviesR.M. (1956), pp. 139–161, Cambridge University Press, Cambridge, England.

    Google Scholar 

  7. H-P. Pao and T.W. Kao, Sources and sinks at the axis of a viscous rotating fluid, Physics of Fluids 12 (1969) 1536–1546.

    Article  Google Scholar 

  8. D.W. Moore and P.G. Saffman, The structure of free vertical shear layers in a rotating fluid and the motion produced by a slowly rising body, Phil. Trans. Roy. Soc. 264 (1969) 597–634.

    Google Scholar 

  9. A. Erdelyi, (ed.), Bateman manuscript project integral transforms, Vol. 2, Mc-Graw Hill, New York (1954).

    Google Scholar 

  10. C. Kranenberg, Sink flow in a rotating basin, J. Fluid Mech. 94 (1979) 65–81.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Smith, S.H. On a point source in a rotating fluid. J Eng Math 17, 257–262 (1983). https://doi.org/10.1007/BF00036720

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00036720

Keywords

Navigation