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Title: Viscosity of suspensions and glass: turning power-law divergence into essential singularity
Authors: Kumar, N.
Issue Date: 10-Jan-2005
Publisher: Indian Academy of Sciences, Bangalore, India.
Citation: Current Science, 2005, Vol. 88, p143-145.
Abstract: Starting with an expression, due originally to Einstein, for the shear viscosity η (δΦ) of a liquid having a small fraction δΦ by volume of solid particulate matter sus-pended in it at random, an effective-medium viscosity η(Φ) for arbitrary Φ is derived, which is precisely of the Vogel–Fulcher form. An essential point of the derivation is the incorporation of the excluded-volume effect at each turn of the iteration Φn+1 = Φn + δΦ . The model is frankly mechanical, but applicable directly to soft matter like a dense suspension of microspheres in a liquid as a func-tion of the number density. Extension to a glass-forming supercooled liquid is plausible inasmuch as the latter may be modelled statistically as a mixture of rigid, solid-like regions (Φ) and floppy, liquid-like regions (1–Φ), for Φ increasing monotonically with supercooling.
ISSN: 0011-3891
Copyright: Indian Academy of Sciences, Bangalore, India.
Appears in Collections:Research Papers (TP)

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