Abstract
For a highly-concentrated suspension of ferromagnetic particles characterized by dipolar interaction, when Brownian motion can be neglected, a model of a viscoelastic magnetizable continuum is developed. The constitutive equations and the kinetic coefficients are determined in the lubrication approximation on the basis of the periodic array model. In the problem of slow medium deformation in a constant magnetic field, for certain values of the determining parameters, an increase in the effective viscosity with decrease in the field strength due to the strong dipolar interaction of the particles is detected.
Similar content being viewed by others
References
M. Kröeger, P. Ilg, and S. Hess, “Magnetoviscous model fluids,” J. Phys.: Condens. Matter, 15, 1403–1423 (2003).
J.-C. Bacri, R. Perzynski, M. I. Shliomis, and G. I. Burde, “’Negative-viscosity’ effect in a magnetic fluid,” Phys. Rev. Letters, 75, No. 11, 2128–2131 (1995).
A.O. Ivanov, “Spontaneous ferromagnetic ordering in magnetic fluids,” Phys. Rev. E68, 011503-1-5 (2003).
B. Groh and S. Dietrich, “Crystal structures and freezing of dipolar fluids,” Phys. Rev., E63, 021203-1-11 (2001).
U. Dassanayake, S. Fraden, and A. van Blaaderen, “Structure of electrorheological fluids,” J. Chem. Phys., 112, No. 8, 3851–3858 (2000).
J. J. Gray and R. T. Bonnecaze, “Rheology and dynamics of sheared arrays of colloidal particles, ” J. Rheol., 42, No. 5, 1121–1151 (1998).
A.V. Zhukov, “Investigating the equilibrium state of a periodic system of rigid spheres with dipolar interaction,” Institute of Mechanics of Moscow State University. Report No. 4004 [in Russian], Moscow (1991).
A.V. Zhukov, “Structure and rheological properties of concentrated suspensions of ferromagnetic particles that form a periodic array,” Institute of Mechanics of Moscow State University. Report No. 4687 [in Russian], Moscow (2003).
V.V. Gogosov, V.A. Naletova, and G.A. Shaposhnikova, “Hydrodynamics of a magnetizable fluid,” Advances in Science and Technology, Ser. Mechanics of Liquids and Gases [in Russian], 16, VINITI, Moscow, 76–208 (1981).
I.A. Privorotskii, “Thermodynamic theory of ferromagnetic domains,” Uspekhi Fiz. Nauk, 108, No. 1, 43–80 (1972).
L.D. Landau and E. M. Lifshits, Electrodynamics of Continua [in Russian], Nauka, Moscow (1992).
B. Derjaguin, “A theory of interaction of particles in presence of electric double layers and the stability of lyophobe colloids and disperse systems,” Acta physicochimica. URSS, 10, No. 3, 333–346 (1939).
A. Z. Zinchenko, “Method of direct numerical simulation of highly-concentrated suspension shear flows,” Institute of Mechanics of Moscow State University. Report No. 3846 [in Russian], Moscow (1989).
S. Nasseri, N. Phan-Thien, and X.-J. Fan, “Lubrication approximation in complete double layer boundary element method,” Comput. Mechanics, 26, 388–397 (2000).
Additional information
__________
Translated from Izvestiya Rossiiskoi Academii Nauk, Mekhanika Zhidkosti i Gaza, No. 5, 2006, pp. 122–134.
Original Russian Text Copyright © 2006 by Zhukov.
Rights and permissions
About this article
Cite this article
Zhukov, A. Crystal microstructure and rheology of highly-concentrated ferromagnetic suspensions. Fluid Dyn 41, 784–794 (2006). https://doi.org/10.1007/s10697-006-0095-y
Received:
Issue Date:
DOI: https://doi.org/10.1007/s10697-006-0095-y