Skip to main content
SpringerLink
Log in

Heat-conducting micropolar fluids

  • Published:
Rheologica Acta Aims and scope Submit manuscript

Summary

In this paper heat-conducting micropolar fluids are introduced as an extension of the theory of micropolar fluids. Constitutive equations appropriate to describe the thermal and mechanical response of micropolar fluids are constructed. The heat conduction equation is derived and the field equations are obtained. The solution to the problem ofPoiseuille flow through a channel with flat walls is given.

Zusammenfassung

In dieser Arbeit werden wärmeleitende mikropolare Flüssigkeiten als Erweiterung der Theorie mikropolarer Flüssigkeiten eingeführt. Es werden geeignete Zustandsgleichungen zur Beschreibung der thermischen und mechanischen Empfindlichkeit mikropolarer Flüssigkeiten abgeleitet. Die Wärmeleitungsgleichung und die Feldgleichungen werden ermittelt. Für das Problem derPoiseuille-Strömung durch einen Kanal mit glatten Wänden wird die Lösung angegeben.

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.

Similar content being viewed by others

References

  1. Eringen, A. C. andE. S. Suhubi, Int. J. Eng. Sci.2, 189 (1964).

    Article  Google Scholar 

  2. Suhubi, E. S. andA. C. Eringen, Int. J. Eng. Sci.2, 389 (1964).

    Article  Google Scholar 

  3. Eringen, A. C., Proc: XI, Int. Congr. of Applied Mech., Munich, Germany,131 (1966).

  4. Eringen, A. C., Int. J. Eng. Sci.2, 205 (1964).

    Article  Google Scholar 

  5. Eringen, A. C., J. Math. Mech.,16, 1709 (1966).

    Google Scholar 

  6. Ariman, T. andA. S. Cakmak, The Physics of Fluids,10, 2497 (1967).

    Article  Google Scholar 

  7. Ariman, T. andA. S. Cakmak, Rheol. Acta7, 36 (1968).

    Article  Google Scholar 

  8. Ariman, T., Int. J. Eng. Sci.6, 1 (1968).

    Article  Google Scholar 

  9. Ariman, T., A. S. Cakmak, andL. R. Hill, The Physics of Fluids,10, 2544 (1967).

    Google Scholar 

  10. Kirwan, A. D., Jr. andNathan Newman, ONR Preliminary Report, NYU (August 1968).

  11. Eringen, A. C., Int. J. Eng. Sci.7, 115 (1969).

    Article  Google Scholar 

  12. Kline, K. A. andS. J. Allen, Z. Allg. Math. Mech.48, 435 (1968).

    Google Scholar 

  13. Eringen, A. C., Mechanics of Continua (New York 1967).

  14. Spencer, A. J. M. andR. S. Rivlin, Arch. Rational Mech. Anal.,2, 309 (1959).

    Article  Google Scholar 

  15. Koh, S. L. andA. C. Eringen, Int. J. Eng. Sci.1, 199 (1963).

    Article  Google Scholar 

  16. Bleustein, J. L. andA. E. Green, Int. J. Eng. Sci.5, 323 (1967).

    Article  Google Scholar 

  17. Schlichting, H., “Boundary Layer Theory”, Sixth Edition (New York 1968).

Download references

Author information

Author notes

  1. Y. Kazakia &  T. Ariman

    Present address: Department of Aerospace and Mechanical Engineering, University of Notre Dame, Notre Dame, Indiana, USA

Authors and Affiliations

    Authors
    1. Y. Kazakia
      View author publications

      You can also search for this author in PubMed Google Scholar

    2. T. Ariman
      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

    Kazakia, Y., Ariman, T. Heat-conducting micropolar fluids. Rheol Acta 10, 319–325 (1971). https://doi.org/10.1007/BF01993705

    Download citation

    • Received:

    • Issue Date:

    • DOI: https://doi.org/10.1007/BF01993705

    Keywords

    Search

    Navigation