Plane flow of a layer of an incompressible viscous magnetic fluid with constant magnetic permeability under the action of an alternating magnetic field is investigated. The strength of the magnetic field creating a travelling sinusoidal finite-amplitude wave on the surface of the fluid is found and the average volume flow-rate is calculated. The magnetic field strength amplitude is found as a function of the wavelength and other parameters of the problem. The existence of the minimum magnetic field amplitude at a certain length of the surface wave is shown. © 2004 Elsevier B.V. All rights reserved.
Zimmermann, K., Zeidis, I., Naletova, V. A., & Turkov, V. A. (2004). Travelling waves on a free surface of a magnetic fluid layer. In Journal of Magnetism and Magnetic Materials (Vol. 272–276, pp. 2343–2344). Elsevier. https://doi.org/10.1016/j.jmmm.2003.12.966