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The Einstein Relation between Relative Viscosity and Volume Concentration of Suspensions of Spheres

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Abstract

IN 1906, Einstein1 deduced that the relative viscosity ηr of a very dilute suspension of spheres of volume concentration c could be expressed by ηr = 1 + c. This expression was derived from three equations by elimination, omitting higher-order terms in c. The three equations used by Einstein give directly the expression: ηr = (1 − c)/(1 − 2c), which can be expanded to ηr = 1 + c + 2c 2 + 4c 3 …, simplifying tO ηr = 1 + c at great dilution.

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References

  1. Einstein, A., Ann. Physik, 19, 289 (1906).

    Article  ADS  CAS  Google Scholar 

  2. Einstein, A., Ann. Physik., 34, 591 (1911).

    Article  ADS  CAS  Google Scholar 

  3. Bingham, E. C., and Durham, T. C., Amer. Chem. J., 46, 278 (1911). Bingham, E. C., “Fluidity and Plasticity” (McGraw-Hill, 1922).

    Google Scholar 

  4. Hughes, A. J., M.Sc. thesis, Univ. of Wales (1949).

  5. Oliver, D. R., and Ward, S. G., Nature, 171, 397 (1953).

    Article  ADS  Google Scholar 

  6. Brinkman, H. C., J. Chem. Phys., 20, 571 (1952).

    Article  ADS  CAS  Google Scholar 

  7. Eirich, F., Bunzl, M., and Margaretha, H., Kolloid. Z., 74, 276 (1936).

    Article  Google Scholar 

  8. Eilers, H., Kolloid Z., 97, 313 (1941).

    Article  CAS  Google Scholar 

  9. Vand, V., J. Phys. Coll. Chem., 52, 277 (1948).

    Article  CAS  Google Scholar 

  10. Ward, S. G., Nature, 164, 220 (1949).

    Article  ADS  CAS  Google Scholar 

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  1. John and E. Sturge, Ltd., 1 Wheeleys Road, Birmingham, 15

    A. J. HUGHES

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  1. A. J. HUGHES
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HUGHES, A. The Einstein Relation between Relative Viscosity and Volume Concentration of Suspensions of Spheres. Nature 173, 1089–1090 (1954). https://doi.org/10.1038/1731089a0

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