Axisymmetric Ferrofluid Oscillations in a Cylindrical Tank in Microgravity

Lateral and Axisymmetric Ferrofluid Oscillations in a Cylindrical Tank in Microgravity

“…The results show that the theoretical model presented in Ref. 19 overestimates the axisymmetric magnetic frequency response, pointing to the existence of unaccounted physical effects such as viscous damping or a complex magnetic influence on the contact line hysteresis process [38].…”

“…The limiting cases Γ = 0 and Γ → ∞ lead to the free-edge and stuck-edge conditions, respectively. In other words, Γ describes how freely the contact line 𝐶 slides over the walls of the tank, and has consequently a large influence on the shape of the eigenmodes and their associated eigenfrequencies [38].…”

“…Its implementation is fully equivalent (excluding liquid and geometrical properties) to that described in Ref. 38.…”

“…Γ is here assumed to be the same for axisymmetric and lateral modes. This assumption is motivated by the difficulty in extracting Γ in the axisymmetric case, where magnetic and non-magnetic modal shapes are very similar [38]. Further details on the design and operation of the detection system can be found in Refs.…”

“…In spite of the aforementioned limitations, solid statistical conclusions can be drawn through the application of appropriate statistics to the variables of interest, as discussed in Ref. 38. Figure 3 shows the fundamental axisymmetric and lateral free surface oscillation frequencies as a function of current intensity.…”