Skip to main content
Log in

Similarity solutions to rotating Couette flow with power law fluids

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

Summary

The nonlinear rheological effects of a power law fluid in rotating Couette flow are addressed. The governing equations are derived and exact similarity solutions to the Cauchy problem for the angular velocity and shear stress distributions are shown and discussed. The case when the flow is generated by a line impulse of angular momentum is considered. The existence of a travelling wave solution for a shear thickening fluid is shown.

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.

Institutional subscriptions

Similar content being viewed by others

References

  1. Batchelor, K. G.: An introduction to fluid dynamics. Cambridge: University Press 1967.

    Google Scholar 

  2. Ames, W. F.: Nonlinear partial differential equations in engineering, vol. I and II. New York: Academic Press 1965 and 1972.

    Google Scholar 

  3. Taylor, G. I.: On the dissipation of eddies. In: The scientific papers of G. I. Taylor (Batchelor, G. K., ed.), vol. II. Cambridge: University Press 1960.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Pascal, H., Pascal, J.P. Similarity solutions to rotating Couette flow with power law fluids. Acta Mechanica 107, 93–100 (1994). https://doi.org/10.1007/BF01201822

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01201822

Keywords

Navigation