INSTABILITY IN SETTLING OF SUSPENSIONS DUE TO BROWNIAN EFFECTS.

R. Caflisch; G. Papanicolaou

doi:10.1016/b978-0-12-493120-6.50009-x

INSTABILITY IN SETTLING OF SUSPENSIONS DUE TO BROWNIAN EFFECTS.

R. Caflisch, G. Papanicolaou

Mathematics

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Abstract

Initially uniform suspensions of hydrophobic colloidal particles sediment in a manner that is not compatible with the elementary theory of Brownian motion. That is, the particles do not sediment to reach an equilibrium concentration that is linearly increasing with depth into the container but instead the concentration forms nearly constant layers and sharp transitions to higher densities as the depth increases. Recent experimental work by Siano confirms and delineates quantitatively this phenomenon. A theoretical explanation of Siano's experiments is given.

Original language	English (US)
Title of host publication	Publications of the Mathematics Research Center, University of Wisconsin-Madison
Publisher	Academic Press
Pages	73-79
Number of pages	7
Edition	49
ISBN (Print)	0124931200, 9780124931206
DOIs	https://doi.org/10.1016/b978-0-12-493120-6.50009-x
State	Published - 1983

Publication series

Name	Publications of the Mathematics Research Center, University of Wisconsin-Madison
Number	49
ISSN (Print)	0273-4559

ASJC Scopus subject areas

General Engineering

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10.1016/b978-0-12-493120-6.50009-x

Cite this

INSTABILITY IN SETTLING OF SUSPENSIONS DUE TO BROWNIAN EFFECTS. / Caflisch, R.; Papanicolaou, G.
Publications of the Mathematics Research Center, University of Wisconsin-Madison. 49. ed. Academic Press, 1983. p. 73-79 (Publications of the Mathematics Research Center, University of Wisconsin-Madison; No. 49).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

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N2 - Initially uniform suspensions of hydrophobic colloidal particles sediment in a manner that is not compatible with the elementary theory of Brownian motion. That is, the particles do not sediment to reach an equilibrium concentration that is linearly increasing with depth into the container but instead the concentration forms nearly constant layers and sharp transitions to higher densities as the depth increases. Recent experimental work by Siano confirms and delineates quantitatively this phenomenon. A theoretical explanation of Siano's experiments is given.

AB - Initially uniform suspensions of hydrophobic colloidal particles sediment in a manner that is not compatible with the elementary theory of Brownian motion. That is, the particles do not sediment to reach an equilibrium concentration that is linearly increasing with depth into the container but instead the concentration forms nearly constant layers and sharp transitions to higher densities as the depth increases. Recent experimental work by Siano confirms and delineates quantitatively this phenomenon. A theoretical explanation of Siano's experiments is given.

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ER -

INSTABILITY IN SETTLING OF SUSPENSIONS DUE TO BROWNIAN EFFECTS.

Abstract

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