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Electro-magneto-phoresis of slender bodies

Published online by Cambridge University Press:  19 April 2007

EHUD YARIV  and
TOUVIA MILOH
EHUD YARIV
Affiliation:
Faculty of Mechanical Engineering, Technion – Israel Institute of Technology, Technion City 32000, Israel
TOUVIA MILOH
Affiliation:
Department of Fluid Mechanics and Heat Transfer, Faculty of Engineering, Tel Aviv University, Ramat Aviv 69978, Israel
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Abstract

Slender-body asymptotic theory is applied to determine the electro-magneto-phoretic motion of a freely suspended elongated particle which is arbitrarily oriented relative to uniformly applied electric and magnetic fields.

Type
Papers
Information
Journal of Fluid Mechanics , Volume 577 , 25 April 2007 , pp. 331 - 340
Copyright
Copyright © Cambridge University Press 2007

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References

REFERENCES

Batchelor, G. K. 1970 Slender-body theory for particles of arbitrary cross-section in Stokes flow. J. Fluid Mech. 44, 419–441.Google Scholar
Brenner, H. 1964 The Stokes resistance of an arbitrary particle – IV. Arbitrary fields of flow. Chem. Engng Sci. 19, 703–727.CrossRefGoogle Scholar
Cox, R. G. 1970 The motion of long slender bodies in a visous fluid. Part 1. General theory. J. Fluid Mech. 44, 791–810.Google Scholar
Geer, J. 1976 Stokes flow past a slender body of revolution. J. Fluid Mech. 78, 577–600.Google Scholar
Happel, J. & Brenner, H. 1965 Low Reynolds Number Hydrodynamics. Prentice-Hall.Google Scholar
Hinch, E. J. 1991 Perturbation Methods. Cambridge University Press.Google Scholar
Kim, S. & Karrila, S. J. 1991 Microhydrodynamics. Butterworth-Heinemann.Google Scholar
Kolin, A. 1953 An electromagnetokinetic phenomenon involving migration of neutral particles. Science 117 3032, 134–137.CrossRefGoogle ScholarPubMed
Leenov, D. & Kolin, A. 1954 Theory of electromagnetophoresis. I. Magnetohydrodynamic forces experienced by spherical and symmetrically oriented cylindrical particles. J. Chem. Phys. 22 (4), 683–688.Google Scholar
Moffatt, H. K. & Sellier, A. 2002 Migration of an insulating particle under the action of uniform ambient electric and magnetic fields. Part 1. General theory. J. Fluid Mech. 464, 279–286.CrossRefGoogle Scholar
Saintillan, D., Darve, E. & Shaqfeh, E. S. G. 2006 Hydrodynamic interactions in the induced-charge electrophoresis of colloidal rod dispersions. J. Fluid Mech. 563, 223–259.Google Scholar
Sellier, A. 2000 Electrophoretic motion of a slender particle embedded in an axisymmetric electric field. C. R. Acad. Sci. B. 328 (1), 41–46.Google Scholar
Sellier, A. 2003 a Migration of a conducting ellipsoid subject to uniform ambient electric and magnetic fields. Co. R. Mec. 331 (2), 127–132.Google Scholar
Sellier, A. 2003 b Migration of an insulating particle under the action of uniform ambient electric and magnetic fields. Part 2. Boundary formulation and ellipsoidal particles. J. Fluid Mech. 488, 335–353.Google Scholar
Solomentsev, Y. & Anderson, J. L. 1994 Electrophoresis of slender particles. J. Fluid Mech. 279, 197–215.CrossRefGoogle Scholar
Thwaites, B. 1960 Incompressible Aerodynamics. Oxford University Press.CrossRefGoogle Scholar
Tillett, J. P. K. 1970 Axial and transverse Stokes flow past slender axisymmetric bodies. J. Fluid Mech. 44, 401–418.CrossRefGoogle Scholar
Tuck, E. O. 1964 Some methods for flows past blunt slender bodies. J. Fluid Mech. 18, 619–635.CrossRefGoogle Scholar
Watarai, H., Suwa, M. & Iiguni, Y. 2004 Magnetophoresis and electromagnetophoresis of microparticles in liquids. Anal. Bioanal. Chem. 378 (7), 1693–1699.Google Scholar