Faraday instability on viscous ferrofluids in a horizontal magnetic field: Oblique rolls of arbitrary orientation

Abstract

A linear stability analysis of the free surface of a horizontally unbounded ferrofluid layer of arbitrary depth subjected to vertical vibrations and a horizontal magnetic field is performed. A nonmonotonic dependence of the stability threshold on the magnetic field is found at high frequencies of the vibrations. The reasons of the decrease of the critical acceleration amplitude caused by a horizontal magnetic field are discussed. It is revealed that the magnetic field can be used to select the first unstable pattern of Faraday waves. In particular, a rhombic pattern as a superposition of two different oblique rolls can occur. A scaling law is presented which maps all data into one graph for the tested range of viscosities, frequencies, magnetic fields and layer thicknesses.

8 pages, 6 figures, RevTex4

References in corpus (5)

• Superlattice Patterns in Surface Waves
• Amplitude equations and pattern selection in Faraday waves
• Amplitude equations and pattern selection in Faraday waves
• Parametrically Excited Surface Waves: Two-Frequency Forcing, Normal Form Symmetries, and Pattern Selection
• Wave Number of Maximal Growth in Viscous Magnetic Fluids of Arbitrary Depth

Cited by in corpus (1)

• Chain-induced effects in the Faraday instability on ferrofluids in a horizontal magnetic field