Skip to main content
Log in

On the moment of a plane disk in a non-Newtonian fluid

  • Published:
Acta Mechanica Aims and scope Submit manuscript

Summary

Exact analytic solution for the flow of non-Newtonian fluid of grade two generated by periodic oscillations of a plane disk is obtained. The velocity field and the moment of the frictional forces are calculated and the results are compared with those for Newtonian fluid. The moments caused by certain special oscillations are also discussed.

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. Truesdell, C., Noll, W.: The non-linear field theories of mechanics. In: Handbuch der Physik III, pp. 3–123. Berlin: Springer 1965.

    Google Scholar 

  2. Ting, T. W.: Certain non-steady flows of second order fluids. Arch. Rat. Mech. Anal.14, 1–26 (1963).

    Google Scholar 

  3. Markovitz, H., Coleman, B. D.: Incompressible second order fluids. Adv. Appl. Mech.8, 69–101 (1964).

    Google Scholar 

  4. Markovitz, H., Coleman, B. D.: Non-steady helical flows of second order fluids. Phys. Fluids7, 833–841 (1964).

    Google Scholar 

  5. Rajagopal, K. R., Gupta, A. S.: A class of exact solutions to the equations of motion of a second grade fluid. Int. J. Eng. Sci.19, 1009–1014 (1981).

    Google Scholar 

  6. Benharbit, A. M., Siddiqui, A. M.: Certain solutions of the planar motion of a second grade fluid for steady and unsteady cases. Acta Mech.94, 85–96 (1992).

    Google Scholar 

  7. Chandna, O. P., Oku-Ukpong, E. O.: Unsteady second grade aligned MHD fluid flow. Acta Mech.107, 77–91 (1994).

    Google Scholar 

  8. Rajagopal, K. R., Gupta, A. S., Na, T. Y.: A note on the Falkner-Skan flows of a non-Newtonian fluid. Int. J. Non-Linear Mech.18, 313–320 (1983).

    Google Scholar 

  9. Rajagopal, K. R.: A note on unsteady unidirectional flows of a non-Newtonian fluid. Int. J. Non-Linear Mech.17, 369–373 (1982).

    Google Scholar 

  10. Erdogan, M. E.: Plane surface suddenly set in motion in a non-Newtonian fluid. Acta Mech.108, 179–187 (1995).

    Google Scholar 

  11. Hayat, T., Asghar, S., Siddiqui, A. M.: Periodic unsteady flows of a non-Newtonian fluid. Acta Mech131, 169–175 (1998).

    Google Scholar 

  12. Dunn, J. E., Fosdick, R. L.: Thermodynamics, stability and boundedness of fluids of complexity 2 and fluids of second grade. Arch. Ration. Mech. Anal.56, 191–252 (1974).

    Google Scholar 

  13. Fosdick, R. L., Rajagopal, K. R.: Anomalous features in the model of second order fluid. Arch. Ration. Mech. Anal.70, 145–152 (1979).

    Google Scholar 

  14. Dunn, J. E., Rajagopal, K. R.: Fluids of differential type: critical review and thermodynamic analysis. Int. J. Eng. Sci.33, 689–729 (1995).

    Google Scholar 

  15. Landau, L. D., Lifshitz, E. M.: Fluid Mechanics. New York: Pergamon 1978.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Hayat, T., Asghar, S. & Siddiqui, A.M. On the moment of a plane disk in a non-Newtonian fluid. Acta Mechanica 136, 125–131 (1999). https://doi.org/10.1007/BF01179252

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01179252

Keywords

Navigation