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Short-time self-diffusion, collective diffusion and effective viscosity of dilute hard sphere magnetic suspensions

Published online by Cambridge University Press:  17 February 2016

Krzysztof A. Mizerski  and
Eligiusz Wajnryb
Krzysztof A. Mizerski*
Affiliation:
Department of Magnetism, Institute of Geophysics, Polish Academy of Sciences – Centre for Polar Studies KNOW, Leading National Research Centre, ul. Ksiecia Janusza 64, 01-452 Warsaw, Poland
Eligiusz Wajnryb
Affiliation:
Department of Mechanics and Physics of Fluids, Institute of Fundamental and Technological Research, Polish Academy of Sciences, Pawinskiego 5B, 02-106 Warsaw, Poland
*
†Email address for correspondence: [email protected]
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Abstract

The virial corrections to short-time self- and collective diffusion coefficients as well as the effective viscosity are calculated for suspensions of hard spheres with the same radii and constant (blocked within the particle) magnetization modelled by a point dipole. Analytic, integral formulae derived from basic principles of statistical mechanics are provided for both cases – in the absence and in the presence of an external magnetic field. In the former case the diffusion and viscosity coefficients are evaluated numerically as a function of the strength of magnetic interactions between the particles and it is reported that the translational collective diffusion coefficient is significantly greater than all the other coefficients. In the presence of an external magnetic field the coefficients become anisotropic and are evaluated in the asymptotic regime of weak interparticle magnetic interactions.

JFM classification

Complex Fluids: Colloids Low-Reynolds-number flows: Low-Reynolds-number flows MHD and Electrohydrodynamics: Magnetic fluids
Type
Papers
Information
Journal of Fluid Mechanics , Volume 791 , 25 March 2016 , pp. 237 - 259
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Copyright
© 2016 Cambridge University Press 

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