Viscosity of suspensions and glass: turning power-law divergence into essential singularity

Kumar, N.

Please use this identifier to cite or link to this item: http://hdl.handle.net/2289/868

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DC Field	Value	Language
dc.contributor.author	Kumar, N.	-
dc.date.accessioned	2005-12-26T08:57:36Z	-
dc.date.available	2005-12-26T08:57:36Z	-
dc.date.issued	2005-01-10	-
dc.identifier.citation	Current Science, 2005, Vol. 88, p143-145.	en
dc.identifier.issn	0011-3891	-
dc.identifier.uri	http://hdl.handle.net/2289/868	-
dc.description.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.	en
dc.format.extent	73387 bytes	-
dc.format.mimetype	application/pdf	-
dc.language.iso	en	en
dc.publisher	Indian Academy of Sciences, Bangalore, India.	en
dc.rights	Indian Academy of Sciences, Bangalore, India.	en
dc.title	Viscosity of suspensions and glass: turning power-law divergence into essential singularity	en
dc.type	Article	en
Appears in Collections:	Research Papers (TP)

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