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Layer formation in monodispersive suspensions and colloids

Published online by Cambridge University Press:  26 April 2006

A. E. Hosoi  and
Todd F. Dupont
A. E. Hosoi
Affiliation:
The James Franck Institute and Department of Physics, The University of Chicago, 5640 S. Ellis Ave., Chicago, IL 60637, USA
Todd F. Dupont
Affiliation:
The Department of Computer Science, The University of Chicago, 1100 E. 58th St., Chicago, IL 60637, USA
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Abstract

We present theoretical results on spontaneous stratification of sedimenting suspensions and colloids caused by a lateral temperature gradient. Fluid motion is treated in the Stokes approximation, and motion of suspended particles is described by Burgers equation with convection. The internal structure and interaction of shocks at convection roll boundaries is studied numerically using a reduced one-dimensional model based on a Galerkin approach. Qualitative comparison is made to experimental data.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 328 , 10 December 1996 , pp. 297 - 311
Copyright
© 1996 Cambridge University Press

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References

Barker, G. O. & Grimson, M. J. 1987 J. Phys. A: Math. Gen. 20, 305.
Batchelor, G. K. 1972 J. Fluid Mech. 52, 245.
Brewer, W. H. 1884 Mem. Nat. Acad. Sci. USA 2, 165.
Burgers, J. M. 1974 The Non-linear Diffusion Equation. Reidel, Dordrecht.
Esipov, S. E. 1995 Phys. Rev. E 52, 3711.
Finlayson, B. A. 1972 The Method of Weighted Residuals and Variational Principles, with Application in Fluid Mechanics, Heat and Mass Transfer.. Academic.
Fortin, M. 1993 Acta Numerica.. Cambridge University Press.
Landau, L. D. & Lifshitz, E. M. 1987 Fluid Mechanics, 2nd edn. Pergamon.
Mason, M. & Mendenhall, C. E. 1923 Proc. Natl Acad. Sci. 9, 202.
Mendenhall, C. E. & Mason, M. 1923 Proc. Nat. Acad. Sci. 9, 199.
Mueth, D. M., Crocker, J. C., Esipov, S. E. & Grier, D. G. 1996 Phys. Rev. Lett. 77, 578.
Nicolai, H., Herzhaft, B., Oger, L., Guazzelli, E. & Hinch, E. J. 1995 Phys. Fluids 7, 12.
Saarloos van, W. & Huse, D. A. 1990 Europhys. Lett. 11, 107.
Siano, D. B. 1979 J. Colloid Interface Sci. 68, 111.
Strang, G. & Fix, G 1973 An Analysis of the Finite Element Method. Prentice-Hall.
Whitham, G. B. 1974 Linear and Nonlinear Waves.. Wiley.