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Taylor‐Couette Flow: The Early Days

NOV 01, 1991
Fluid caught between rotating cylinders has been intriguing physicists for over 300 years with its remarkably varied patterns and its chaotic and turbulent behavior.

DOI: 10.1063/1.881296

Russell J. Donnelly

The striking flow shown in figure 1 is produced in a simple apparatus: A fluid is confined between two concentric cylinders, with the inner and perhaps the outer cylinder able to rotate. The cellular motion that develops with rotation was discovered and described mathematically by Geoffrey I. Taylor in 1923. A similar apparatus, with the inner cylinder suspended from a torsion fiber and the outer cylinder rotating, was used even earlier as a viscometer. Maurice Couette described this arrangement in his thesis, which he presented in Paris in 1890. For this reason, modern investigators refer to flow between rotating cylinders as Taylor‐Couette flow. In this article I trace the beginnings of the subject back to Isaac Newton and, by discussing the contributions of Newton, George Stokes, Max Margules, Arnulph Mallock, Couette, Taylor, S. Chandrasekhar and others, show how the study of this flow evolved to its place of prominence today.

References

  1. 1. I. Newton, Mathematical Principles, F. Cajori, ed., U. Calif. P., Berkeley (1946), p. 385.

  2. 2. G. G. Stokes, Mathematical and Physical Papers, vol. 1, Cambridge U.P., Cambridge, England (1880), p. 102;
    vol. 5, Cambridge U.P., Cambridge, England (1905).

  3. 3. A. E. Gill, Atmosphere‐Ocean Dynamics, Academic, New York (1982).
    G. Neumann, W. J. Pierson, Principles of Physical Oceanography, Prentice‐Hall, Englewood Cliffs, N.J. (1966).

  4. 4. M. Margules, Wien. Ber. (2nd ser.) 83, 588 (1881).

  5. 5. H. R. Lillie, Phys. Rev. 36, 347 (1930).https://doi.org/PHRVAO

  6. 6. A. Mallock, Proc. R. Soc. 45, 126 (1888).

  7. 7. A. Mallock, Philos. Trans. R. Soc. 187, 41 (1896).

  8. 8. Lord Rayleigh, Philos. Mag. 28, 609 (1914); https://doi.org/PHMAA4
    reprinted in Lord Rayleigh, Scientific Papers, Dover, New York (1964).

  9. 9. S. Chandrasekhar, Hydrodynamic and Hydromagnetic Stability, Clarendon, Oxford (1961).

  10. 10. M. Couette, C. R. Acad. Sci. (Paris) 107, 388 (1888);
    Bull. Sci. Phys., pp.4, 262 (1888).

  11. 11. M. M. Couette, Ann. Chim. Phys., Ser. VI 21, 433 (1890).

  12. 12. J. A. Bearden, Phys. Rev. 56, 1023 (1939).https://doi.org/PHRVAO

  13. 13. H. L. Dryden, F. P. Murnaghan, H. Bateman, Hydrodynamics, Dover, New York (1956) [republication of Natl. Res. Council, “Report of the Committee on Hydrodynamics,” bulletin 84, NRC, Washington (1932)].

  14. 14. L. Talbot, ed., Rarefied Gas Dynamics, Academic, New York (1961).

  15. 15. G. I. Taylor, Philos. Trans. R. Soc. London, Ser. A 223, 289 (1923).

  16. 16. C. Swanson, R. J. Donnelly, Phys. Rev. Lett. 67, 1578 (1991).https://doi.org/PRLTAO

  17. 17. J. Fluid Mech. 173 (1986)contains the proceedings of an International Union of Theoretical and Applied Mechanics symposium on fluid mechanics in the spirit of Taylor.

  18. 18. K. C. Wali, Chandra: A Biography of S. Chandrasekhar, U. Chicago P., Chicago (1991).

  19. 19. D. Coles, J. Fluid Mech. 21, 385 (1965).https://doi.org/JFLSA7

  20. 20. H. L. Swinney, J. P. Gollub, Hydrodynamic Instabilities and the Transition to Turbulence, 2nd ed., Springer‐Verlag, New York (1985).

  21. 21. R. J. Donnelly, M. M. LaMar, J. Fluid Mech. 186, 163 (1988).https://doi.org/JFLSA7

  22. 22. R. J. Wiener, P. W. Hammer, C. E. Swanson, R. J. Donnelly, Phys. Rev. Lett. 64, 1115 (1990).https://doi.org/PRLTAO

  23. 23. R. J. Donnelly, in Nonlinear Evolution of Spatio‐Termporal Structures in Dissipative Systems, F. H. Busse, L. Kramer, eds., Plenum, New York (1990).

  24. 24. H. Reuter, Wetter und Leben 11‐12, 221 (1970).

More about the Authors

Russell J. Donnelly. University of Oregon, Eugene.

This Content Appeared In
pt-cover_1991_11.jpeg

Volume 44, Number 11

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