Symmetry Breaking in Large Columnar Frozen Wave Patterns in Weightlessness

Troitiño, M.; Sánchez, P.; Porter, Jeff; Gligor, D.

doi:10.1007/s12217-020-09812-0

Cited by 10 publications

(9 citation statements)

References 26 publications

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“…This type of column formation process holds over a substantial range of forcing values but the influence of the lateral walls diminishes as the wavenumber increases and, at some point, defects begin to appear at off-center locations. This transition, despite being associated with a highly nonlinear process, occurs with a regularity that is suggestive of spontaneous symmetry breaking, as described in Troitiño et al [168]. Figure 17 illustrates this symmetry-breaking transition with increasing forcing in a container of length L = 60 mm and height 2H = 7.5 mm.…”

Section: Nonlinear Effectssupporting

confidence: 53%

“…It can be seen that the initial perturbation (see the top panel at t = 5 s) corresponds to K = 2. This perturbation grows fastest near the endwalls and is slightly larger at the right compared to the left, which is related to the harmonic waves at the two sides and their distinct phase in relationship to the initiation of the forcing [134,168]. After the frozen wave on the right side reaches the upper corner of the container, the dynamics of the interface are dominated by surface and contact forces acting to maintain the correct contact angle.…”

Section: Effect Of the Initial Statementioning

confidence: 98%

“…The simulation with F = 37.97 has a larger average wavenumber with a smaller incomplete column (or defect) in the center. The formation of these defects, which gradually grow into new columns as F increases, is investigated in [134,168] and will be discussed further in Sec. 6.4.…”

Section: Effect Of the Forcingmentioning

confidence: 99%

“…Indeed, in all the simulations of Figs. 11-14, the heavier fluid always ends up along the lateral walls (see also [60,98,101,134,168]). This symmetry-breaking effect of vibroequilibria on the frozen wave instability is investigated in [168].…”

Section: Effect Of the Initial Statementioning

confidence: 99%

“…11-14, the heavier fluid always ends up along the lateral walls (see also [60,98,101,134,168]). This symmetry-breaking effect of vibroequilibria on the frozen wave instability is investigated in [168]. Furthermore, in promoting the same behavior at both lateral walls, the vibroequilibria effect is likely responsible, at least in part, for the high degree of left-right reflection symmetry in the patterns obtained with no average initial inclination over a wide range of forcing amplitudes (see Fig.…”

Section: Effect Of the Initial Statementioning

confidence: 99%

See 4 more Smart Citations

A review of fluid instabilities and control strategies with applications in microgravity

Porter

Sánchez

Shevtsova

et al. 2021

Math. Model. Nat. Phenom.

Self Cite

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We give a brief review of several prominent fluid instabilities representing transitions driven by gravity, surface tension, thermal energy, and applied motion/acceleration. Strategies for controlling these instabilities, including their pattern formation properties, are discussed. The importance of gravity for many common fluid instabilities is emphasized and used to understand the sometimes dramatically different behavior of fluids in microgravity environments. This is illustrated in greater detail, using recent results, for the case of the frozen wave instability, which leads to large columnar structures in the absence of gravity. The development of these highly nonlinear states is often complex, but can be manipulated through an appropriate choice of forcing amplitude, container length and height, initial inclination of the surface, and other parameters affecting the nonlinear and inhomogeneous growth process. The increased opportunity for controlling fluids and their instabilities via small forcing or parameter changes in microgravity is notable.

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Section: Nonlinear Effectssupporting

confidence: 53%

Section: Effect Of the Initial Statementioning

confidence: 98%

Section: Effect Of the Forcingmentioning

confidence: 99%

Section: Effect Of the Initial Statementioning

confidence: 99%

Section: Effect Of the Initial Statementioning

confidence: 99%

See 3 more Smart Citations

A review of fluid instabilities and control strategies with applications in microgravity

Porter

Sánchez

Shevtsova

et al. 2021

Math. Model. Nat. Phenom.

Self Cite

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Steady Vortex Flow Induced by Inertial Wave Attractor in a Librating Cylinder with Sloping Ends

Subbotin

Shiryaeva

2022

Microgravity Sci. Technol.

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Controlling a Free Surface With Thermocapillary Flows and Vibrations in Microgravity

Plaza,

Gligor,

Salgado Sánchez

et al. 2024

Microgravity Sci. Technol.

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Fluid manipulation and control is crucial for space exploration. Motivated by the “Thermocapillary-based control of a free surface in microgravity" (ThermoSlosh) experiment (Salgado Sánchez et al. in Acta Astronautica 205:57–67, 2023), we conduct here a detailed numerical analysis of interfacial dynamics in a two-dimensional cylindrical cell, half-filled with different silicone oils or a fluorinert, and subjected to thermal forcing and vibrations. The effect on the free surface dynamics of the applied temperature difference, vibrational amplitude, fluid viscosity, and contact angle is analyzed; both static and dynamic contact angle models are considered. Results strongly suggest that thermocapillary flows can be used to control the interface orientation within the cell, while supplemental vibrations can be added to increase the system responsiveness. This control can be further improved by using classical proportional-integral-derivative feedback to adjust the cell boundary temperatures in real-time. The proportional and derivative gains of the controller can be selected to optimize the stabilization time and/or energy cost, while the integral contribution is effective in reducing the steady-state error. Overall, the present analysis highlights the potential of using the thermocapillary effect for fluid management in reduced gravity, and evaluates different types of experimental tests that can be executed in the frame of the ThermoSlosh microgravity project.

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Symmetry Breaking in Large Columnar Frozen Wave Patterns in Weightlessness

Cited by 10 publications

References 26 publications

A review of fluid instabilities and control strategies with applications in microgravity

A review of fluid instabilities and control strategies with applications in microgravity

Steady Vortex Flow Induced by Inertial Wave Attractor in a Librating Cylinder with Sloping Ends

Controlling a Free Surface With Thermocapillary Flows and Vibrations in Microgravity

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