Skip to main content
Log in

Slow flow of a non-Newtonian liquid past a fluid sphere

  • Contributed Papers
  • Published:
Acta Mechanica Aims and scope Submit manuscript

Summary

The motion of a non-Newtonian fluid past a Newtonian fluid sphere has been investigated using the Stokes approximation. The stream functions characterizing the internal and external flow fields have been determined and the special case of flow past a solid sphere is deduced. The drag experienced by the fluid sphere has been evaluated and found to be greater than the classical counterpart.

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. Reiner, M.: A mathematical theory of dilataney. Am. J. Math.67, 350 (1945).

    Google Scholar 

  2. Rathna, S. L.: Slow motion of a non-Newtonian liquid past a sphere. Quart. J. Mech. Applied Math.15, 427 (1962).

    Google Scholar 

  3. Leslie, F. M.: The slow flow of a visco-elastic liquid past a sphere. Quart. J. Mech. Applied Math.14, 36 (1961).

    Google Scholar 

  4. Oldroyd, J. G.: Non-Newtonian effects in steady motion of some idealized elasticoviscous liquids. Proc. Roy. Soc. London Ser.A245, 278 (1958).

    Google Scholar 

  5. Happel, J., Brenner, H.: Low Reynolds number hydrodynamics, Ch. 4. London: Prentice-Hall Inc. 1965.

    Google Scholar 

  6. Hadamard, J. S.: Compt. Rend. Acad. Sci.152, 1735 (1911).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Ramkissoon, H. Slow flow of a non-Newtonian liquid past a fluid sphere. Acta Mechanica 78, 73–80 (1989). https://doi.org/10.1007/BF01174001

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01174001

Keywords

Navigation