The authors provide an estimation of the “wall viscosity” and its increment (“magneto-viscous” effect) in a thin near-wall layer of a column of magnetic fluid oscillating in the tube when a strong transverse magnetic field is applied. The calculation is performed according to the formula obtained on the basis of two different theoretical approaches and applied to the previously published experimental results of the complex measurement of oscillation frequency and saturation magnetization of the magnetic fluid. These results are commented upon, stemming from the assumed absence of the field dependence of viscosity. The estimates of “wall viscosity” “from above” and “from below” are used to calculate their contribution to the damping coefficient of oscillations.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
R. E. Rosensweig, Ferrohydrodynamics (Cambridge Monographson Mechanics and Applied Mathematics), N. Y. (1985).
D. V. Orlov, Yu. O. Mikhalev, N. K. Myshkin, Magnetic Fluids in Machine-Building [in Russian], Mashinostroenie, Moscow (1993).
S. Taketomi, S. Tikadzumi, Magnetic Fluids [in Russian, trans. from Japanese], Mir, Moscow (1993)
S. Odenbach, ed., Colloidal Magnetic Fluids: Basics, Development and Application of Ferrofluids, Lect. Notes Phys., Springer, Berlin (2009).
V. M. Polunin, A. М. Storozhenko, and P. A. Ryapolov, Mechanics of Liquid Nano- and Microdispersed Magnetic Media, CRC Press, CISP, New York, London (2017).
Wei Zhang, Jinghui Peng, and Songjing Li, Energies, 10, 749–759 (2017).
V. M. Polunin, M. L. Boev, Myo Min Than, and P. A. Ryapolov, Magnetohydrodynamics, 48, Issue 3, 557–566 (2012).
V. M. Polunin, M. L. Boev, Myo Min Tan, et al., Acoust. Phys., 59, Issue 1, 56 – 61 (2013).
M. L. Boev, V. M. Polunin, P. A. Ryapolov, et al., Acoust. Phys., 60, Issue 1, 29–33 (2014).
V. M. Polunin, A. М. Storozhenko, I. A. Shabanova, et al., Magnetohydrodynamics, 50, Issue 4, 431–441 (2014).
V. M. Polunin, A. M. Storozhenko, V. B. Platonov, et al., Russ. Phys. J., 59, Issue 9, 1498–1506 (2016).
V. M. Polunin, P. A. Ryapolov, V. B. Platonov, et al., Acoust. Phys., 63. Issue 4, 416–423 (2017).
V. M. Polunin, P. A. Ryapolov, E. V. Shel’deshova, et al., Russ. Phys. J., 60, Issue 3, 381–388 (2017).
J. P. Mc Taque, J. Chem. Phys., 51, Issue 1, 133–136 (1969).
R. E. Rosensweig, R. Kaiser, and G. Miskolezy, J. Colloid Inter. Sie., 29, Issue 4, 680–686 (1969).
M. I. Shliomis, JETP [in Russian], 61, Issue 6, 2411–2418 (1971).
M. I. Shliomis, Physics-Uspekhi [in Russian], 112, Issue 3, 427–459 (1974).
A. O. Tsebers, Magnetohydrodynamics [in Russian], 4, 37–44 (1975).
M. M. Mayorov, Magnetohydrodynamics [in Russian], 4, 11–18 (1980).
S. N. Rzhevkin, Lectures of Sound Theory [in Russian], MSU Publishing House, Moscow (1960).
L. D. Landau, E. M. Lifshitz, Theoretical Physics. Hydrodynamics [in Russian], 6, Nauka, Moscow (1988).
Author information
Authors and Affiliations
Corresponding author
Additional information
Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 4, pp. 29–36, April, 2019.
Rights and permissions
About this article
Cite this article
Polunin, V.M., Ryapolov, P.A., Zhakin, A.I. et al. “Wall Viscosity” of Magnetic Fluid Oscillations in a Strong Magnetic Field. Russ Phys J 62, 589–597 (2019). https://doi.org/10.1007/s11182-019-01751-7
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11182-019-01751-7