The turbulent Faraday instability in miscible fluids

Briard, Antoine; Gostiaux, Louis; Gréa, Benoît-Joseph

doi:10.1017/jfm.2019.920

Cited by 14 publications

(41 citation statements)

References 31 publications

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“…The sequence of events in the various movies bears a striking resemblance with the experimental movies of Faraday wave instabilities with miscible fluids in Briard et al. (2020).…”

Section: Large Amplitude Forcingsupporting

confidence: 56%

“…As the waves crash into a horizontal corner, there is mixing with the fluid in the interior. The sequence of events in the various movies bears a striking resemblance with the experimental movies of Faraday wave instabilities with miscible fluids in Briard et al (2020).…”

Section: Large Amplitude Forcingmentioning

confidence: 67%

“…The two-layer system had many analogies with the well-studied Faraday wave problem (Benjamin & Ursell 1954; Miles & Henderson 1990; Kumar & Tuckerman 1994). Most studies of the Faraday wave problem involve two immiscible fluids, but there is also much interest in the parametric forcing of two-layer systems of miscible fluids (Zoueshtiagh, Amiroudine & Narayanan 2009; Briard, Gréa & Gostiaux 2019; Briard, Gostiaux & Gréa 2020). A major distinction between the Faraday problem with miscible and immiscible fluids is that in the immiscible case the jump discontinuity at the density interface is sufficient for instability, whereas for the miscible case the density varies smoothly throughout and a sufficiently large localized density gradient is needed for instability.…”

Section: Introductionmentioning

confidence: 99%

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Parametric instabilities of a stratified shear layer

et al. 2021

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“…The sequence of events in the various movies bears a striking resemblance with the experimental movies of Faraday wave instabilities with miscible fluids in Briard et al. (2020).…”

Section: Large Amplitude Forcingsupporting

confidence: 56%

Section: Large Amplitude Forcingmentioning

confidence: 67%

Section: Introductionmentioning

confidence: 99%

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Parametric instabilities of a stratified shear layer

et al. 2021

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“…By retaining only the nonlinear interactions of turbulence with the mean flow (Gréa 2013), the final size of the turbulent mixing layers can be predicted analytically (Gréa & Ebo Adou 2018). Recently, this prediction has been confirmed experimentally in Briard, Gostiaux & Gréa (2020).…”

Section: Introductionmentioning

confidence: 85%

The subcritical transition to turbulence of Faraday waves in miscible fluids

et al. 2022

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We study the development and the breaking process of standing waves at the interface between two miscible fluids of small density contrast. In our experiment, a subharmonic wave is generated by a time-periodic vertical acceleration via the Faraday instability. It is shown that its wavelength may be selected not only by the linear process predicted by the Floquet theory and favouring the most unstable modes allowed by the tank geometry, but also by a nonlinear mode competition mechanism giving the preference to subcritical modes. Subsequently, as the standing wave amplitude grows, a secondary destabilization process occurs at smaller scales and produces turbulent mixing at the nodes. We explain this phenomenon as a subcritical parametric resonance instability. Different approaches derived from local and global stability analysis are proposed to predict the critical wave steepness. These theories are then assessed against various numerical and experimental data varying the frequencies and amplitudes of the forcing acceleration.

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“…Faraday waves are synonymous with pattern formation and have been widely studied for their ability to, e.g. redistribute particles (Wright & Saylor 2003; Saylor & Kinard 2005) and surfactants (Strickland, Shearer & Daniels 2015) on thin liquid films, rearrange layers of granular media (Melo, Umbanhowar & Swinney 1994), and induce turbulent mixing of two miscible fluids (Briard, Gostiaux & Gréa 2020). This canonical problem in fluid mechanics was first studied by Faraday (1831), who showed the interface of a vertically vibrated liquid bath will lose stability to standing surface waves, which oscillate at half the driving frequency.…”

Section: Introductionmentioning

confidence: 99%