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Particle-phase distributions of pressure-driven flows of bidisperse suspensions

Published online by Cambridge University Press:  14 December 2007

JAY T. NORMAN ,
BABATUNDE O. OGUNTADE  and
ROGER T. BONNECAZE
JAY T. NORMAN
Affiliation:
Department of Chemical Engineering, The University of Texas at Austin, Austin, TX 78712, USA
BABATUNDE O. OGUNTADE
Affiliation:
Department of Chemical Engineering, The University of Texas at Austin, Austin, TX 78712, USA
ROGER T. BONNECAZE
Affiliation:
Department of Chemical Engineering, The University of Texas at Austin, Austin, TX 78712, USA
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Abstract

The phase distribution of a bimodal distribution of negatively buoyant particles in a low-Reynolds-number pressure-driven flow of a suspension in a horizontal pipe is measured using multi-frequency electrical impedance tomography (EIT). Suspensions of heavy silver-coated particles and slightly heavy PMMA particles exhibit different effective conductivities depending on the frequency of an applied electrical current. This difference allows the separate imaging of the phase distribution of each particle type and the composite suspension. At low flow rates the dense particles tend to distribute in the lower half of the pipe The particles are resuspended toward the centre as the flow rate is increased. The slightly heavy particles tend to accumulate closer to the centre of the pipe. The presence of the nearly neutrally buoyant particles enhances the resuspension of the heavy particles compared to that of a suspension of heavy particles alone at the same volume fraction. A suspension balance model is used to theoretically predict the distribution of particles in the flow assuming an ideal mixing rule for the particle partial pressures. The agreement between the predictions and the experimental observations is qualitatively correct and quantitatively fair.

Type
Papers
Information
Journal of Fluid Mechanics , Volume 594 , 10 January 2008 , pp. 1 - 28
Copyright
Copyright © Cambridge University Press 2008

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References

REFERENCES

Altobelli, S. A., Givler, R. C. & Fukushima, E. 1991 Velocity and concentration measurements of suspensions by nuclear magnetic resonance imaging. J. Rheol. 35, 721–734.Google Scholar
Altobelli, S. A. & Mondy, L. A. 2002 Hindered flotation functions from nuclear magnetic resonance imaging. J. Rheol. 46, 1341–1352.CrossRefGoogle Scholar
Beyea, S. D., Altobelli, S. A. & Mondy, L. A. 2003 Chemically selective NMR imaging of a 3-component (solid-solid-liquid) sedimenting system. J. Magnetic Resonance 161, 198–203.Google Scholar
Butler, J. E. 1998 Tomographic imaging for the visualization of multiphase flows. PhD thesis, The University of Texas at Austin.Google Scholar
Butler, J. E. & Bonnecaze, R. T. 1999 Imaging of particle shear migration with electrical impedance tomography. Phys. Fluids 11, 1982.Google Scholar
Butler, J. E., Majors, P. D. & Bonnecaze, R. T. 1999 Observations of shear-induced particle migration for oscillatory flow of a suspension within a tube. Phys. Fluids 11, 2865–2877.Google Scholar
Carpen, I. C. & Brady, J. F. 2002 Gravitational instability in suspension flow. J. Fluid Mech. 472, 201–210.CrossRefGoogle Scholar
Chang, C. & Powell, R. L. 1993 Dynamic simulation of bimodal suspensions of hydrodynamically interacting spherical particles. J. Fluid Mech. 253, 1–25.CrossRefGoogle Scholar
Chang, C. & Powell, R. L. 1994 Self-diffusion of bimodal suspensions of hydrodynamically interacting spherical particles in shear flow. J. Fluid Mech. 281, 51–80.Google Scholar
Chorin, A. J. 1967 A numerical method for solving incompressible viscous flow problems. J. Comput. Phys. 135, 118–125.Google Scholar
Chow, A. W., Sinton, S. W., Iwaniya, J. H. & Stephens, T. S. 1994 Shear-induced migration in Couette and parallel-plate viscometers: NMR imaging and stress measurements. Phys. Fluids 8, 2561–2576.Google Scholar
Dickin, F. & Wang, M. 1996 Electrical resistance tomography for process applications. Meas. Sci. Technol. 7, 247–260.Google Scholar
Etuke, E. O. 1994 Impedance spectroscopy for component specificity in tomographic imaging. PhD thesis, University of Manchester Institute of Science and Technology.Google Scholar
Fang, Z., Mammoli, A. A., Brady, J. F., Ingber, M. S., Mondy, L. A. & Graham, A. L. 2002 Flow-aligned tensor models for suspension flows. Intl J. Multiphase Flow 28, 137–166.Google Scholar
Gadala-Maria, F. & Acrivos, A. 1980 Shear-induced structure in a concentrated suspension of solid spheres. J. Rheol. 24, 799–814.Google Scholar
Hampton, R. E., Mammoli, A. A., Graham, A. L. & Tetlow, N. 1997 Migration of particles undergoing pressure-driven flow in a circular conduit. J. Rheol. 41, 621–640.Google Scholar
Husband, D. M., Mondy, L. A., Ganani, E. & Graham, A. L. 1994 Direct measurements of shear-induced particle migration in suspensions of bimodal spheres. Rheol. Acta. 33, 185–192.CrossRefGoogle Scholar
Koh, C. J., Hookham, P. & Leal, L. G. 1994 An experimental investigation of concentrated suspension flows in a rectangular channel. J. Fluid Mech. 266, 1–32.CrossRefGoogle Scholar
Leighton, D. & Acrivos, A. 1987 The shear-induced migration of particles in concentrated suspension. J. Fluid Mech. 181, 414–439.CrossRefGoogle Scholar
Lenoble, M., Snabre, P. & Pouligny, B. 2005 The flow of a very concentrated slurry in a parallel-plate device: Influence of gravity. Phys. Fluids 17, 073303.Google Scholar
Lyon, M. K. & Leal, L. G. 1998 a An experimental study of the motion of concentrated suspensions in two-dimensional channel flow. Part 1. Monodisperse systems. J. Fluid Mech. 363, 25–56.CrossRefGoogle Scholar
Lyon, M. K. & Leal, L. G. 1998 b An experimental study of the motion of concentrated suspensions in two-dimensional channel flow. Part 2. Bidisperse systems. J. Fluid Mech. 363, 57–77.Google Scholar
Miller, R. M. & Morris, J. F. 2006 Normal stress-driven migration and axial development in pressure-driven flow of concentrated suspensions. J. Non-Newtonian Fluid Mech. 135, 149–165.Google Scholar
Morris, J. F. & Boulay, F. 1999 Curvilinear flows of noncollodial suspensions: the role of normal stresses. J. Rheol. 43, 1213–1237.Google Scholar
Norman, J. T. 2004 Imaging particle migration with electrical impedance tomography: an investigation into the behaviour and modelling of suspension flows. PhD thesis, The University of Texas at Austin.Google Scholar
Norman, J. T & Bonnecaze, R. T. 2005 Measurement of solids distribution in suspension flows using electrical resistance tomography. Can. J. Chem. Engng 83, 24–36.Google Scholar
Norman, J. T., Nayak, H. V. & Bonnecaze, R. T. 2005 Migration of buoyant particles in low Reynolds number, pressure-driven flows. J. Fluid Mech. 523, 1–35.Google Scholar
Nott, P. R. & Brady, J. F. 1994 Pressure-driven flow of suspensions: simulation and theory. J. Fluid Mech. 275, 157–199.CrossRefGoogle Scholar
Parker, L. R. 1994 Geophysical Inverse Theory. Princeton University Press.CrossRefGoogle Scholar
Phillips, R. J., Armstrong, R. C., Brown, R. A., Graham, A. L. & Abbott, J. R. 1992 A constitutive equation for concentrated suspensions that accounts for shear-induced particle migration. Phys. Fluids A 4, 30–40.CrossRefGoogle Scholar
Shauly, A., Wachs, A. & Nir, A. 1998 Shear-induced particle migration in a polydisperse concentrated suspension. J. Rheol. 42, 1329–1348.Google Scholar
Shapiro, A. P. & Probstein, R. F. 1992 Random packings of spheres and fluidity limits of monodisperse and bidisperse suspensions. Phys. Rev. Lett. 68, 1422–1425.Google Scholar
Storms, R. F., Ramaro, B. V. & Weiland, R. H. 1990 Low shear rate viscosity of bimodally dispersed suspensions. Powder Tech. 63, 247–259.Google Scholar
Tetlow, N. & Graham, A. L. 1998 Particle migration in a Couette apparatus; Experiment and modeling. J. Rheol. 42, 307–327.CrossRefGoogle Scholar
Tripathi, A. & Acrivos, A. 1999 Viscous resuspension in a bidensity suspension. Intl J. Multiphase Flow 25, 1.Google Scholar
Zhang, K. & Acrivos, A. 1994 Viscous resuspension in fully developed laminar pipe flow. Intl J. Multiphase Flow 20, 579–591.Google Scholar