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Crystal microstructure and rheology of highly-concentrated ferromagnetic suspensions

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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.

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References

  1. M. Kröeger, P. Ilg, and S. Hess, “Magnetoviscous model fluids,” J. Phys.: Condens. Matter, 15, 1403–1423 (2003).

    Article  ADS  Google Scholar 

  2. 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).

    Article  ADS  Google Scholar 

  3. A.O. Ivanov, “Spontaneous ferromagnetic ordering in magnetic fluids,” Phys. Rev. E68, 011503-1-5 (2003).

    Google Scholar 

  4. B. Groh and S. Dietrich, “Crystal structures and freezing of dipolar fluids,” Phys. Rev., E63, 021203-1-11 (2001).

    Google Scholar 

  5. U. Dassanayake, S. Fraden, and A. van Blaaderen, “Structure of electrorheological fluids,” J. Chem. Phys., 112, No. 8, 3851–3858 (2000).

    Article  ADS  Google Scholar 

  6. J. J. Gray and R. T. Bonnecaze, “Rheology and dynamics of sheared arrays of colloidal particles, ” J. Rheol., 42, No. 5, 1121–1151 (1998).

    Article  ADS  Google Scholar 

  7. 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).

  8. 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).

  9. 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).

    Google Scholar 

  10. I.A. Privorotskii, “Thermodynamic theory of ferromagnetic domains,” Uspekhi Fiz. Nauk, 108, No. 1, 43–80 (1972).

    Google Scholar 

  11. L.D. Landau and E. M. Lifshits, Electrodynamics of Continua [in Russian], Nauka, Moscow (1992).

    Google Scholar 

  12. 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).

    Google Scholar 

  13. 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).

  14. S. Nasseri, N. Phan-Thien, and X.-J. Fan, “Lubrication approximation in complete double layer boundary element method,” Comput. Mechanics, 26, 388–397 (2000).

    Article  ADS  Google Scholar 

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Translated from Izvestiya Rossiiskoi Academii Nauk, Mekhanika Zhidkosti i Gaza, No. 5, 2006, pp. 122–134.

Original Russian Text Copyright © 2006 by Zhukov.

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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

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  • DOI: https://doi.org/10.1007/s10697-006-0095-y

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