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Radial migration of a single particle in a pore by the resistive pulse and the pressure reversal technique

Published online by Cambridge University Press:  26 April 2006

Lars Inge Berge
Lars Inge Berge
Affiliation:
Department of Physics, University of Oslo, PO Box 1048 Blindern, 0316 Oslo 3, Norway
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Abstract

Radial migration (particle motion transverse to streamlines) in a system which combines frequent entry, straight pore, and exit regions were investigated experimentally for small particle and pore sizes. Pore diameters were less than 30 μm and typical particle to pore diameter ratios were about 0.25. Our new modification of the resistive pulse technique based on pressure reversal, extends this experimental technique to also include single-particle flow dynamics. By pressure drive, a particle in an electrolyte enters a current-carrying pore and an increase in resistance proportional to the particle volume is detected. When the particle exits the pore, the pressure can be reversed such that the particle re-enters the pore. Detailed studies of particle flow properties in a size range relevant to flow in porous media is now possible. The emphasis in this investigation is on radial migration. The effect of particle sedimentation has been negligible, while particle diffusion becomes significant for submicron particles. The measured evolution of the transit time as the particle migrates compares well with an empirical relationship for the migration velocity first proposed by Segré & Silberberg (1962 a, b) and later verified by Ishii & Hasimoto (1980). Entrance and exit effects do not seem to be important for long pores, the results scale very nicely when the pore length is changed.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 217 , August 1990 , pp. 349 - 366
Copyright
© 1990 Cambridge University Press

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References

Aoki, H., Kurosaki, Y. & Anzai, H. 1979 Study on the tubular pinch effect in a pipe flow. I. Lateral migration of a single particle in laminar Poiseuille flow. Bull. JSME 22, 206.Google Scholar
Berge, L. I., Feder, J. & Jøssang, T. 1989 A novel method to study single-particle dynamics by the resistive pulse technique. Rev. Sci. Instrum. 60, 2756.Google Scholar
Brenner, H. 1966 Hydrodynamic resistance of particles at small Reynolds numbers. Adv. Chem. Engng 6, 287.Google Scholar
Brenner, H. & Happel, J. 1958 Slow viscous flow past a sphere in a cylindrical tube. J. Fluid Mech. 4, 195.Google Scholar
Bretherton, F. P. 1962 The motion of rigid particles in a shear flow at low Reynolds number. J. Fluid Mech. 14, 284.Google Scholar
Coulter, W. H. 1953 US Patent No. 2656508.
DeBlois, R. W. & Bean, C. P. 1970 Counting and sizing of submicron particles by the resistive pulse technique. Rev. Ssi. Instrum. 41, 909.Google Scholar
DeBlois, R. W., Bean, C. P. & Wesley, R. K. A. 1977 Electrokinetic measurements with submicron particles and pores by the resistive pulse technique. J. Colloid Interface Sci. 61, 323.Google Scholar
Dukhin, S. S. 1974 Development of notions as to the mechanism of electrokinetic phenomena and the structure of the colloid micelle. In Surface and Colloid Science, vol. 7 (ed. E. Matijević), pp. 1–255. Wiley.
Einstein, A. 1926 Theory of Brownian Movement. Methuen.
Fischer, B. E. & Spohr, R. 1983 Production and use of nuclear tracks: imprinting structure on solids. Rev. Mod. Phys. 55, 907.Google Scholar
Goldsmith, H. L. & Mason, S. G. 1962 The flow of suspensions through tubes. I. Single spheres, rods, and discs. J. Colloid Sci. 17, 448.Google Scholar
Ishii, K. & Hasimoto, H. 1980 Lateral migration of a spherical particle in flows in a circular tube. J. Phys. Soc. Japan 48, 2144.Google Scholar
Jeffrey, R. C. & Pearson, J. R. A. 1965 Particle motion in laminar vertical tube flow. J. Fluid Mech. 22, 721.Google Scholar
Karnis, A., Goldsmith, H. L. & Mason, S. G. 1966 The flow of suspensions through tubes. V. Inertial effects. Can. J. Chem. Engng 44, 181.Google Scholar
Karnis, A. & Mason, S. G. 1967 The flow of suspensions through tubes. VI. Meniscus effects. J. Colloid Interface Sci. 23, 120.Google Scholar
Maxwell, J. C. 1904 A Treatise on Electricity and Magnetism, 3rd edn, vol. 1. Clarendon.
Oliver, D. R. 1962 Influence of particle rotation on radial migration in the Poiseuille flow of suspensions. Nature 194, 1269.Google Scholar
Rubinow, S. I. & Keller, J. B. 1961 The transverse force on a spinning sphere moving in a viscous fluid. J. Fluid Mech. 11, 447.Google Scholar
Saffman, P. G. 1956 On the motion of small spheroidal particles in a viscous liquid. J. Fluid Mech. 1, 540.Google Scholar
Saffman, P. G. 1965 The lift on a small sphere in a slow shear flow. J. Fluid Mech. 22, 385.Google Scholar
Segreé, G. & Silberberg, A. 1962a Behaviour of macroscopic rigid spheres in Poiseuille flow. Part 1. Determination of local concentration by statistical analysis of particle passages through crossed light beams. J. Fluid Mech. 14, 115.Google Scholar
Segré, G. & Silberberg, A. 1962b Behaviour of macroscopic rigid spheres in Poiseuille flow. Part 2. Experimental results and interpretation. J. Fluid Mech. 14, 136.Google Scholar
Smith, A. M. O. 1960 Remarks on transition in a round tube. J. Fluid Mech. 7, 565.Google Scholar
Smythe, W. R. 1964 Flow around a spheroid in a circular tube. Phys. Fluids 7, 633.Google Scholar
Tachibana, M. 1973 On the behaviour of a sphere in the laminar tube flows. Rheol. Acta 12, 58.Google Scholar