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
Einstein, A., Ann. Physik, 19, 289 (1906).
Einstein, A., Ann. Physik., 34, 591 (1911).
Bingham, E. C., and Durham, T. C., Amer. Chem. J., 46, 278 (1911). Bingham, E. C., “Fluidity and Plasticity” (McGraw-Hill, 1922).
Hughes, A. J., M.Sc. thesis, Univ. of Wales (1949).
Oliver, D. R., and Ward, S. G., Nature, 171, 397 (1953).
Brinkman, H. C., J. Chem. Phys., 20, 571 (1952).
Eirich, F., Bunzl, M., and Margaretha, H., Kolloid. Z., 74, 276 (1936).
Eilers, H., Kolloid Z., 97, 313 (1941).
Vand, V., J. Phys. Coll. Chem., 52, 277 (1948).
Ward, S. G., Nature, 164, 220 (1949).
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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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DOI: https://doi.org/10.1038/1731089a0
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