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Stabilization of gas-fluidized beds of magnetic powders by a cross-flow magnetic field

Published online by Cambridge University Press:  19 May 2011

M. J. ESPIN
Affiliation:
Department of Applied Physics II, University of Seville, Avenida Reina Mercedes s/n, 41012 Sevilla, Spain
J. M. VALVERDE*
Affiliation:
Department of Electronics and Electromagnetism, University of Seville, Avenida Reina Mercedes s/n, 41012 Sevilla, Spain
M. A. S. QUINTANILLA
Affiliation:
Department of Electronics and Electromagnetism, University of Seville, Avenida Reina Mercedes s/n, 41012 Sevilla, Spain
A. CASTELLANOS
Affiliation:
Department of Electronics and Electromagnetism, University of Seville, Avenida Reina Mercedes s/n, 41012 Sevilla, Spain
*
Email address for correspondence: [email protected]

Abstract

In this paper we present an experimental study of the stabilization of gas-fluidized beds of magnetic powders by application of a cross-flow magnetic field. The powders tested consist of magnetite and steel powders in a range of particle size dp between 35 and 110 μm, allowing us to investigate the effect of particle size and material properties on magnetic stabilization. In the operation mode employed by us the magnetic field is applied to the unstable bubbling bed and the gas velocity is slowly decreased. According to our observations, the bed is stabilized at a critical gas velocity by the jamming of particle chains formed during bubbling because of the attractive forces induced between the magnetized particles, which are thus responsible for stabilization. Although the magnetic field is applied in the horizontal direction, these chains are mechanically stable at orientations close to the gas flow direction, in agreement with the prediction of an unconfined chain model based on the balance between gas flow shear and interparticle magnetic force fm. Since fm is increased as dp is increased, the critical gas velocity at marginal stability vc for a fixed field strength B is seen to increase with dp. As the gas velocity v0 is decreased below vc, there is a rearrangement of the structure depending on particle size. Restructuring of the bed depends on particle size as derived from measurements of its permeability to the gas flow, which causes the yield stress to be a function of particle size. It is also inferred from our results that natural agglomeration of fine particles (in the absence of a magnetic field) due to van der Waals forces enhances the yield stress of the magnetically stabilized bed. From our experimental results it is concluded that structural effects, as affected by operating conditions and material properties, play a main role in the rheology of the stabilized magnetofluidized bed (MFB).

Type
Papers
Copyright
Copyright © Cambridge University Press 2011

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References

REFERENCES

Batchelor, G. K. 1988 A new theory on the instability of a uniform fluidized bed. J. Fluid Mech. 193, 75110.CrossRefGoogle Scholar
Bauccio, M. (Ed.) 1994 ASM Engineered Materials Reference Book, 2nd edn. ASM International. Available at: http://www.matweb.com.Google Scholar
Bossis, G., Volkova, O., Lacis, S. & Meunier, A. 2003 Magnetorheology: fluids, structures and rheology. In Lectures Notes in Physics (ed. Odenbach, S.), vol. 594, pp. 202230. Springer.Google Scholar
Carman, P. C. 1937 Fluid flow through granular beds. Trans. Inst. Chem. Engrs 15, 150167.Google Scholar
Casal, J. & Arnaldos, J. 1991 The structure of magnetized-fluidized beds. Powder Technol. 64, 4348.CrossRefGoogle Scholar
Castellanos, A. 2005 The relationship between attractive interparticle forces and bulk behaviour in dry and uncharged fine powders. Adv. Phys. 54, 263376.CrossRefGoogle Scholar
Castellanos, A., Valverde, J. M. & Quintanilla, M. A. S. 2004 The Sevilla powder tester: a tool for characterizing and investigating the physical properties of fine cohesive powders. KONA Powder Particle 22, 6681.CrossRefGoogle Scholar
Clercx, H. & Bossis, G. 1993 Many-body electrostatic interactions in electrorheological fluids. Phys. Rev. E 48, 2721.CrossRefGoogle ScholarPubMed
Elliot, R. J., Krumhansl, J. A. & Leath, P. L. 1974 The theory and properties of randomly disordered crystals and related physical systems. Rev. Mod. Phys. 46, 465543.CrossRefGoogle Scholar
Espin, M. J., Quintanilla, M. A. S., Valverde, J. M. & Castellanos, A. 2010 a Rheology of magnetofluidized fine powders: the role of interparticle contact forces. J. Rheology 54, 719740.CrossRefGoogle Scholar
Espin, M. J., Valverde, J. M., Quintanilla, M. A. S. & Castellanos, A. 2010 b Magnetic field induced inversion in the effect of particle size on powder cohesiveness. J. Chem. Phys. 133, 024706.CrossRefGoogle ScholarPubMed
de Gans, B. J., Duin, N. J., van den Ende, D. & Mellema, J. 2000 The influence of particle size on the magnetorheological properties of an inverse ferrofluid. J. Chem. Phys. 113, 2032.CrossRefGoogle Scholar
Hristov, J. Y. 1996 Fluidization of ferromagnetic particles in a magnetic field. Part 1. The effect of field line orientation on bed stability. Powder Technol. 87, 5966.CrossRefGoogle Scholar
Hristov, J. Y. 1998 Fluidization of ferromagnetic particles in a magnetic field. Part 2. Field effects of preliminarily fluidized beds. Powder Technol. 97, 3544.CrossRefGoogle Scholar
Hunt, C. P., Moskowitz, B. M. & Banerjee, S. K. 1995 magnetic properties of rocks and minerals. In Rocks Physics and Phase Relations: A Handbook of Physical Constants (ed. Ahrens, T. J.), pp. 189204. American Geophysical Union Books Board.Google Scholar
Ivanov, A. S. & Pshenichnikov, A. F. 2008 Measurements of the transverse susceptibility and magnetization of magnetic fluids. Instrum. Expl Techn. 51, 466470.CrossRefGoogle Scholar
Karkkainen, K., Sihvola, A. & Nikoskinen, K. 2001 Analysis of a three-dimensional dielectric mixture with finite difference method. IEEE Trans. Geosci. Remote Sens. 39, 10131018.CrossRefGoogle Scholar
Klingenberg, D. J. 1991 The small shear rate response of electrorheological suspensions. Part II. Extension beyond the point dipole limit. J. Chem. Phys. 94, 61706178.CrossRefGoogle Scholar
Koch, D. L. & Sangani, A. S. 1999 Particle pressure and marginal stability limits for a homogeneous monodisperse gas-fluidized bed: kinetic theory and numerical simulations. J. Fluid Mech. 400, 229263.CrossRefGoogle Scholar
Kohler, W. E. & Papanicolau, G. C. 1981 Some applications of the coherent potential approximation. In Multiple Scattering and Waves in Random Media (ed. Chow, P. L., Kohler, W. E. & Papanicolau, G. C.), pp. 199223. North-Holland.Google Scholar
Lalatonne, Y., Richardi, J. & Pileni, M. P. 2004 Van der Waals versus dipolar forces controlling mesoscopic organizations of magnetic nanocrystals. Nat. Mat. 3, 121125.CrossRefGoogle Scholar
Lee, W. K. 1983 The rheology of magnetically stabilized fluidized solids. AIChE Symp. Ser. 79, 8796.Google Scholar
Martin, J. E. & Anderson, R. A. 1996 Chain model of electrorheology. J. Chem. Phys. 104, 4814.CrossRefGoogle Scholar
Quintanilla, M. A. S., Castellanos, A. & Valverde, J. M. 2001 Correlation between bulk stresses and interparticle contact forces in fine powders. Phys. Rev. E 64, 031301.CrossRefGoogle ScholarPubMed
Rosensweig, R. E. 1979 a Fluidization: hydrodynamic stabilization with a magnetic field. Science 204, 5760.CrossRefGoogle ScholarPubMed
Rosensweig, R. E. 1979 b Magnetic stabilization of the state of uniform fluidization. Ind. Engng Chem. Fundam. 18, 260269.CrossRefGoogle Scholar
Rosensweig, R. E. 1997 Ferrohydrodynamics. Dover.Google Scholar
Rosensweig, R. E. & Ciprios, G. 1991 Magnetic liquid stabilization of fluidization in a bed of nonmagnetic spheres. Powder Technol. 64, 115123.CrossRefGoogle Scholar
Rosensweig, R. E., Jerauld, G. R. & Zahn, M. 1981 Structure of magnetically stabilized fluidized solids. In Continuum Models of Discrete Systems (ed. Brulin, O. & Hsieh, R. K. T.), pp. 137144, North-Holland.Google Scholar
Rumpf, H. 1958 Grundlagen and Methoden des Granulierens. Chemie Ing. Tech. 30, 144158.CrossRefGoogle Scholar
Segre, P. N., Liu, F., Umbanhowar, P. & Weitz, D. A. 2001 An effective gravitational temperature for sedimentation. Nature 409, 594597.CrossRefGoogle ScholarPubMed
Sheng, P. 1980 Theory for the dielectric function of granular composite media. Phys. Rev. Lett. 45, 6063.CrossRefGoogle Scholar
Siegell, J. H. 1989 Early studies of magnetized-fluidized beds. Powder Technol. 57, 213220.CrossRefGoogle Scholar
Sundaresan, S. 2003 Instabilities in fluidized beds. Annu. Rev. Fluid Mech. 35, 6388.CrossRefGoogle Scholar
Suzuki, M., Makino, K., Yamada, M. & Iinoya, K. 1981 Study on the coordination number in a system of randomly packed, uniform-sized spherical particles. Int. Chem. Engng 21, 482488.Google Scholar
Thies-Weesie, D. M. E. & Philipse, A. P. 1994 Liquid permeation of bidisperse colloidal hard sphere packings and the Kozeny Carman scaling relation. J. Colloid Interface Sci. 162, 470480.CrossRefGoogle Scholar
Tsinontides, S. C. & Jackson, R. 1993 The mechanics of gas fluidized bed with an interval of stable fluidization. J. Fluid Mech. 255, 237274.CrossRefGoogle Scholar
Valverde, J. M., & Castellanos, A. 2007 Types of gas fluidization of cohesive granular materials. Phys. Rev. E 75, 031306.CrossRefGoogle ScholarPubMed
Valverde, J. M., Castellanos, A. & Quintanilla, M. A. S. 2001 Self-diffusion in a gas-fluidized bed of fine powder. Phys. Rev. Lett. 86, 30203023.CrossRefGoogle Scholar
Valverde, J. M., Castellanos, A. & Quintanilla, M. A. S. 2003a The memory of granular materials. Contemp. Phys. 44, 389399.Google Scholar
Valverde, J. M., Castellanos, A. & Quintanilla, M. A. S. 2004 Jamming threshold of dry fine powders. Phys. Rev. Lett. 92, 258303.CrossRefGoogle ScholarPubMed
Valverde, J. M., Espin, M. J., Quintanilla, M. A. S. & Castellanos, A. 2010 Fluid to solid transition in magnetofluidized beds of fine powders. J. Appl. Phys. 108, 054903.CrossRefGoogle Scholar
Valverde, J. M., Quintanilla, M. A. S., Castellanos, A. & Mills, P. 2003 b Experimental study on the dynamics of gas-fluidized beds. Phys. Rev. E 67, 016303.Google Scholar

Espin et al. supplementary movie

Jamming transition in a cross-flow magnetofluidized bed of 110 microns particle size steel powder as the field strength is slowly increased from zero up to the stabilization point (B=4.5 mT) and then slowly decreased again to zero. The vertical gas velocity is fixed (8.35 cm/s) and the field direction is horizontal.

Download Espin et al. supplementary movie(Video)
Video 18.8 MB

Espin et al. supplementary movie

Jamming transition in a cross-flow magnetofluidized bed of 110 microns particle size steel powder as the field strength is slowly increased from zero up to the stabilization point (B=4.5 mT) and then slowly decreased again to zero. The vertical gas velocity is fixed (8.35 cm/s) and the field direction is horizontal.

Download Espin et al. supplementary movie(Video)
Video 6.3 MB