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An extension of Reiner’s “Deborah Number” concept to a Wide field of rheological investigations

  • G. W. Scott Blair
Chapter

Abstract

Metzner, White and Denn (1) have claimed that, under certain simplifying rheological conditions, “the Reynolds, Weissenberg and Deborah numbers become the sole dimensionless groups which must be considered”. The Reynolds numbers define the relative importance of viscous and inertia forces; the Weissenberg numbers, the ratio of elastic to viscous behaviour; (2) and the Deborah number, (3) the ratio of a relaxation time (τ) to an experimental time (t). Metzner et al. point out that it would have been more in keeping with other work had Reiner used the reciprocal, t/τ but this is not very important.

References

  1. 1).
    Metzner, A. B., J. L. White, and M. M. Denn, Amer. Inst. Chem. Eng. J. 12, 863 (1966).CrossRefGoogle Scholar
  2. 2).
    Weissenberg, K., in: The Principles of Rheological Measurement, p. 36 (London 1949).Google Scholar
  3. 3).
    Reiner, M., Physics Today 17, 62 (1964).CrossRefGoogle Scholar
  4. 4).
    Glücklich, J., Rheol. Acta 1, 356 (1961).CrossRefGoogle Scholar
  5. 5).
    Scott Blair, G. W. and F. M. V. Coppen, Nature 145, 425 (1940).ADSCrossRefGoogle Scholar
  6. 6).
    Scott Blair, G. W., Research 11, 123 (1958).Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1975

Authors and Affiliations

  • G. W. Scott Blair
    • 1
  1. 1.Grist CottageIffley, OxfordUK

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