Effect of collisions with a second fluid on the temporal development of nonlinear, single-mode, Rayleigh-Taylor instability

Cauvet, Q.; Bernecker, B.; Bouquet, S.; Canaud, B.; Hermeline, F.; Pichon, S.

doi:10.1103/physreve.105.065205

Cited by 1 publication

(1 citation statement)

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“…Noticeably, the potential model equations can recover the linear evolution of the interface or be used to construct buoyancy drag and bubble merger models accounting for the turbulence regime (Ramaprabhu et al 2006). These approaches were also successfully extended to ablative RTI configurations (Betti & Sanz 2006), to two-dimensional RTI with a horizontal magnetic field perpendicular to the single-mode perturbation (Gupta et al 2010), and more recently to the context of a partially ionized plasma (Cauvet et al 2022). The potential models have some limitations (Mikaelian 2008), and in particular they cannot account for the bubble/spike reacceleration when the secondary shear instabilities develop (Ramaprabhu et al 2006;Wei & Livescu 2012;Bian et al 2020).…”

Section: Introductionmentioning

confidence: 99%

Inferring the Magnetic Field from the Rayleigh–Taylor Instability

Gréa,

Briard

2023

ApJ

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By extending the potential approach of Layzer and Goncharov to the magnetohydrodynamics equations, we find the nonlinear solutions to the single-mode Rayleigh–Taylor instability subjected to uniform magnetic fields at various inclinations. This allows us to derive the analytical prediction of the terminal bubble and spike velocities at arbitrary Atwood numbers, which are assessed against various 2D and 3D direct numerical simulations. Contrary to the linear phase, where the magnetic field inhibits or delays the instability, the growth rate may be enhanced in the nonlinear regime, exhibiting velocities faster than the Alfvén speed. This sheds light on the importance of the nondimensional number expressing the competition between the magnetic and buoyancy effects. Conversely, we show how the orientation and the intensity of the magnetic field can be simply inferred from these solutions.

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