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http://hdl.handle.net/2289/868
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. |
URI: | http://hdl.handle.net/2289/868 |
ISSN: | 0011-3891 |
Copyright: | Indian Academy of Sciences, Bangalore, India. |
Appears in Collections: | Research Papers (TP) |
Files in This Item:
File | Description | Size | Format | |
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2005 CS 88 p143.pdf | 3p. | 71.67 kB | Adobe PDF | View/Open |
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