Skip to main content
Log in

Motion of a slender body made of magnetizable composite in a traveling magnetic field

  • Published:
Fluid Dynamics Aims and scope Submit manuscript

Abstract

The motion of a slender body made of magnetizable composite in a channel, along which coils producing a heterogeneous “traveling” magnetic field are mounted, is investigated. The coil axes are vertical and lie in the same plane. A mathematical model of a slender body made of viscoelastic magnetizable material is proposed. The magnetic force is calculated from a formula used in ferrohydrodynamics of magnetic fluids with equilibrium magnetization. The problem of the motion of this body in a channel in a vertical plane under the action of the magnetic field produced in an experimental setup is numerically solved. The dependence of the body velocity on the coil switching frequency is calculated and the effect of different problem parameters on the form of this dependence is studied. The theoretical results are compared with the experimental data.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. N. Saga and T. Nakamura, “Elucidation of Propulsive Force of Microprobe Using Magnetic Field,” J. Appl. Phys. 91, 7003 (2002).

    Article  ADS  Google Scholar 

  2. K. Zimmermann, I. Zeidis, V.A. Naletova, G.V. Stepanov, V.A. Turkov, and M.V. Lukashevich, “Undulation of a Magnetizable Elastic Body in a Magnetic Field,” in: Book of Abstracts of 3rd Moscow Int. Symp. on Magnetism, Moscow State Univ. (2005), p. 181.

  3. K. Zimmermann, I. Zeidis, V.A. Naletova, V.A. Turkov, F.S. Bayburtskiy, M.V. Lukashevich, and V. Bohm, “Elastic Capsule Filled with Magnetic Fluid in an Alternative Magnetic Field,” in: Euromech. Colloq. 470 “Recent Development in Magnetic Fluid Research”. Book of Abstracts, Dresden Techn. Univ. (2006), p. 41.

  4. K. Zimmermann, V.A. Naletova, I. Zeidis, V.A. Turkov, E. Kolev, M.V. Lukashevich, and G.V. Stepanov, “Deformable Magnetizable Worm in a Magnetic Field. A Prototype of Mobile Crawling Robots,” J. Magn. Magn. Mater. 311, 450 (2007).

    Article  ADS  Google Scholar 

  5. K. Zimmermann, V.A. Naletova, I. Zeidis, G.V. Stepanov, V.A. Turkov, and M.V. Lukashevich, “Calculation of a MagnetizableWorm Deformation in a Magnetic Field,” Magnetohydrodynamics 44(2), 143 (2008).

    ADS  Google Scholar 

  6. V.A. Naletova, K. Zimmermann, I. Zeidis, V.A. Turkov, and S. Kalmykov, “Dynamics of a Prolate Magnetizable Elastic Body in a Cylindrical Channel,” in: 7th EUROMECH Solid Mechanics Conf. (ESMC2009), Inst. Sup. Tecnico, Lisbon (2009), p. 124.

    Google Scholar 

  7. L.D. Landau and E.M. Lifshitz, Theory of Elasticity, Pergamon, Oxford (1970).

    Google Scholar 

  8. K. Marynowski, “Non-LinearDynamic Analysis of an Axially MovingViscoelastic Beam,” J. Theor. Appl. Mech. 40(2), 465 (2002).

    MATH  Google Scholar 

Download references

Authors

Additional information

Original Russian Text © S.A.Kalmykov, V.A.Naletova, V.A.Turkov, 2013, published in Izvestiya Rossiiskoi Akademii Nauk, Mekhanika Zhidkosti i Gaza, 2013, Vol. 48, No. 1, pp. 6–16.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kalmykov, S.A., Naletova, V.A. & Turkov, V.A. Motion of a slender body made of magnetizable composite in a traveling magnetic field. Fluid Dyn 48, 4–13 (2013). https://doi.org/10.1134/S001546281301002X

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S001546281301002X

Keywords

Navigation