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Particle Migration Rates in a Couette Apparatus

Published online by Cambridge University Press:  05 May 2011

S.-C. Hsiao ,
D. Christensen ,
M.S. Ingber ,
L.A. Mondy  and
S.A. Altobelli
S.-C. Hsiao*
Affiliation:
Department of Hydraulic and Ocean Engineering, National Cheng-Kung University, Tainan, Taiwan 70101, R.O.C.
D. Christensen*
Affiliation:
Department of Mechanical Engineering, University of New Mexico, U.S.A.
M.S. Ingber*
Affiliation:
Department of Mechanical Engineering, University of New Mexico, U.S.A.
L.A. Mondy*
Affiliation:
Energetic and Multiphase Processes Department, Sandia National Laboratories, Albuquerque, NM, U.S.A.
S.A. Altobelli*
Affiliation:
New Mexico Resonance, Albuquerque, NM, U.S.A.
*
*Postdoctoral Fellow
**Graduate student
***Professor
****Senior Researcher
****Senior Researcher
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Abstract

Bulk migration of particles towards regions of lower shear occurs in suspensions of neutrally buoyant spheres in Newtonian fluids undergoing creeping flow in the annular region between two rotating, coaxial cylinders (a wide-gap Couette). For a monomodal suspension of spheres in a viscous fluid, dimensional analysis indicates that the rate of migration at a given concentration should scale with the square of the sphere radius. However, a previous experimental study [12] showed that the rate of migration of spherical particles at 50% volume concentration actually scaled with the sphere radius to approximately the 2.9 power. In the current study, a series of experiments is performed to extend the previous study to two new concentrations, namely, 35% and 42.5%. The new study indicates that the power scaling decreases with concentration.

Keywords

Couette apparatusParticle migration rateNMR image
Type
Articles
Information
Journal of Mechanics , Volume 21 , Issue 2 , June 2005 , pp. 71 - 75
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2005

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References

REFERENCES

1.Abbott, J. R., Tetlow, N., Graham, A. L., Altobelli, S. A., Fukushima, E., Mondy, L. A. and Stephens, T. S., “Experimental Observations of Migration in Concentrated Suspensions: Couette Flow,” J. Rheol., 35, pp. 773–795 (1991).CrossRefGoogle Scholar
2.Buyevich, I. A., “Particle Distribution in Suspension Shear Flow,” Chem Eng. Sci., 51(4), pp. 635–647 (1995).CrossRefGoogle Scholar
3.Haber, S. and Brenner, H., “Inhomogeneous Viscosity Fluid Flow in a Wide-Gap Couette Apparatus: Shear-Induced Migration in Suspensions,” Phys. Fluids. A, 12, pp. 3100–3111 (2000).CrossRefGoogle Scholar
4.Fang, Z., Mammoli, A. A., Brady, J. F., Ingber, M. S., Mondy, L. A. and Graham, A. L., “Flow-Aligned Tensor Models for Suspension Flows”, Int. J. Mult. Flow, 1, pp. 137–166 (2002).CrossRefGoogle Scholar
5.Graham, A. L., Altobelli, S. A., Fukushima, E., Mondy, L. A. and Stephens, T. S., “Note: NMR Imaging of Shear-Induced Diffusion and Structure in Concentrated Suspensions Undergoing Couette Flow,” J. Rheol., 35, pp. 191–201 (1991).CrossRefGoogle Scholar
6.Leighton, D. T., “The Shear-Induced Migration of Particulates in Concentrated Suspensions,” Ph.D. dissertation, Stanford University (1985).Google Scholar
7.Leighton, D. T. and Acrivos, A., “The Shear-Induced Migration of Particles in Concentrated Suspensions,” J. Fluid Mech., 181, pp. 415–439 (1987).CrossRefGoogle Scholar
8.Morris, J. F. and Boulay, F., “Curvilinear Flows of Noncolloidal Suspensions: The Role of Normal Stress,” J. Rheol., 5, pp. 1213–1237 (1999).CrossRefGoogle Scholar
9.Nott, P. R. and Brady, J. F., “Pressure-Driven Flow of Suspensions: Simulation and Theory,” J. Fluid Mech., 275, pp. 157–199 (1994).CrossRefGoogle Scholar
10.Phillips, R. J., Armstrong, R. C., Brown, R. A., Graham, A. L. and Abbott, J. R., “A Constitutive Equation for Concentrated Suspensions that Accounts for Shear-Induced Particle Migration,” Phys. Fluids. A, 4, pp. 30–40 (1992).CrossRefGoogle Scholar
11.Subia, S. R., Ingber, M. S., Mondy, L. A., Altobelli, S. A. and Graham, A. L., “Modelling of Concentrated Suspensions using a Continuum Constitutive Equation,” J. Fluid Mech., 373, pp. 193–219 (1998).CrossRefGoogle Scholar
12.Tetlow, N., Graham, A. L., Ingber, M. S., Subia, S. R., Mondy, L. A. and Altobelli, S. A., “Particle Migration in a Couette Apparatus: Experiment and Modeling,” J. Rheol., 42(2), pp. 307–327 (1998).CrossRefGoogle Scholar