Skip to main content
SpringerLink
Log in

Micropolar fluid flow between two eccentric coaxially rotating spheres

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

Summary

The steady flow of an incompressible micropolar fluid between two rotating eccentric spheres is investigated. The solution is obtained by perturbation techniques by expanding the spin and velocity fields in power series of the eccentricity and the Reynolds number. The effects of the coupling number, the length ratio, the eccentricity and the relative rotational speeds of the spheres on the flow behaviour are investigated.

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. Eringen, A. C.: Theory of micropolar fluids. J. Math. Mech.16, 1–18 (1966).

    Google Scholar 

  2. Ariman, T., Turk, M. A., Sylvester, N. D.: Applications of microcontinuum fluid mechanics. Int. J. Eng. Sci.12, 273–293 (1974).

    Google Scholar 

  3. Turk, M. A., Sylvester, N. D., Ariman, T.: On pulsatile blood flow. Trans. Soc. Rheol.17, 1–21 (1973).

    Google Scholar 

  4. Tözeren, A., Skalak, R.: Micropolar fluids as models for suspensions of rigid spheres. Int. J. Eng. Sci.15, 511–523 (1977).

    Google Scholar 

  5. Allen, S. J., Kline, K. A.: Lubrication theory of micropolar fluids. J. Appl. Mech.38, 646–650 (1971).

    Google Scholar 

  6. Cowin, S. C.: The theory of polar fluids. Adv. Appl. Mech.14, 279–347 (1974).

    Google Scholar 

  7. Niefer, R. A., Kaloni, P. N.: Motion of a rigid sphere in a shear field in a micropolar fluid. Int. J. Eng. Sci.19, 959–966 (1981).

    Google Scholar 

  8. Kaloni, P. N.: A note on the drag force on a spherical particle in a quadratic flow of a micropolar fluid. Lett. Appl. Eng. Sci.21, 1001–1008 (1983).

    Google Scholar 

  9. Dubey, R. K., Chauhan, R. S., Singh, R. P.: Flow of a micropolar fluid between two parallel plates rotating about two non-coincident axes under variable surface charges. Int. J. Eng. Sci.28, 389–397 (1990).

    Google Scholar 

  10. Kamel, M. T.: Flow of a polar fluid between two eccentric rotating cylinders. J. Rheol.29, 37–48 (1985).

    Google Scholar 

  11. Bhatnagar, K. S.: Secondary flow induced by the rotation of two concentric spheres about their common diameter in micropolar fluids. Rheol. Acta8, 44–45 (1969).

    Google Scholar 

  12. Munson, B. R.: Viscous incompressible flow between eccentric coaxially rotating spheres. Phys. Fluids17, 528–531 (1974).

    Google Scholar 

  13. Aleyas, S., Sarma, V. K. V., Majhi, S. N.: Thermal effects on slow viscous flow between rotating eccentric spheres with axial gravitational field. Int. J. Eng. Sci.24, 323–337 (1986).

    Google Scholar 

  14. Cowin, S. C., Pennington, C. J.: On the steady rotational motion of polar fluids. Rheol. Acta9, 307–312 (1970).

    Google Scholar 

  15. IMSL, Inc.: Math. Library User's Manual, verison 1.0Houston: IMSL 1987.

    Google Scholar 

Download references

Author information

Author notes

  1. M. T. Kamel

    Present address: Departments of Math. Stat. and CS, University of New Brunswick, E2L 4L5, Saint John, New Brunswick, Canada

  2. C. F. Chan Man Fong

    Present address: Départment de génie chimique, Université de Sherbrooke, J1K 2R1, Sherbrooke, Quebéc, Canada

Authors and Affiliations

    Authors
    1. M. T. Kamel
      View author publications

      You can also search for this author in PubMed Google Scholar

    2. C. F. Chan Man Fong
      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

    Kamel, M.T., Chan Man Fong, C.F. Micropolar fluid flow between two eccentric coaxially rotating spheres. Acta Mechanica 99, 155–171 (1993). https://doi.org/10.1007/BF01177242

    Download citation

    • Received:

    • Revised:

    • Issue Date:

    • DOI: https://doi.org/10.1007/BF01177242

    Keywords

    Search

    Navigation