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Wave patterns of stationary gravity–capillary waves from a moving obstacle in a magnetic fluid

Published online by Cambridge University Press:  07 September 2022

M.S. Krakov Open the ORCID record for M.S. Krakov [Opens in a new window] ,
C.A. Khokhryakova Open the ORCID record for C.A. Khokhryakova [Opens in a new window]  and
E.V. Kolesnichenko Open the ORCID record for E.V. Kolesnichenko [Opens in a new window]
M.S. Krakov*
Affiliation:
Belarusian National Technical University, 65 Nezavisimosti Avenue, Minsk 220013, Belarus
C.A. Khokhryakova
Affiliation:
Institute of Continuous Media Mechanics, 1 Academician Korolev Street, Perm 614013, Russia
E.V. Kolesnichenko
Affiliation:
Institute of Continuous Media Mechanics, 1 Academician Korolev Street, Perm 614013, Russia
*
†Email address for correspondence: [email protected]
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Abstract

The influence of a magnetic field on the pattern of stationary waves formed on the surface of a magnetic fluid (ferrofluid) when an obstacle moves has been studied both theoretically and experimentally. It is found that a vertical magnetic field narrows the cone of stationary waves and increases their amplitude. In the wake region, the peaks of the Rosensweig instability appear in a magnetic field that is smaller than the critical field that determines this instability occurrence. A horizontal magnetic field parallel to the obstacle velocity expands the cone of waves but reduces their amplitude up to the suppression of stationary waves. A horizontal field perpendicular to the obstacle velocity also expands the cone of waves and stabilizes their amplitude.

JFM classification

MHD and Electrohydrodynamics: Magnetic fluids Waves/Free-surface Flows: Capillary waves Waves/Free-surface Flows: Surface gravity waves
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 948 , 10 October 2022 , A17
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Copyright
© The Author(s), 2022. Published by Cambridge University Press

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Krakov et al. Supplementary Movie

Stationary waves for the case of horizontal field normal to velocity. H=4.7 kA/m, u = 20.2 cm/s.

Download Krakov et al. Supplementary Movie(Video)
Video 4 MB