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A theoretical and experimental study of the spin-over mode induced by the elliptical instability of a flow contained in a slightly deformed rotating spherical shell is presented. This geometrical configuration mimics the liquid rotating…

经典物理 · 物理学 2016-08-16 L. Lacaze , P. Le Gal , S. Le Dizès

A new element is proposed to play a role in the evolution of extrasolar planetary systems: the tidal (or elliptical) instability. It comes from a parametric resonance and takes place in any rotating fluid whose streamlines are (even…

太阳与恒星天体物理 · 物理学 2011-01-25 David Cébron , Claire Moutou , Michael Le Bars , Patrice Le Gal , R. Fares

We revisit the global modes and instabilities of homogeneous rotating ellipsoidal fluid masses, which are the simplest global models of rotationally and tidally deformed gaseous planets or stars. The tidal flow in a short-period planet may…

地球与行星天体物理 · 物理学 2016-04-20 Adrian J. Barker , Harry J. Braviner , Gordon I. Ogilvie

The presence of celestial companions means that any planet may be subject to three kinds of harmonic mechanical forcing: tides, precession/nutation, and libration. These forcings can generate flows in internal fluid layers, such as fluid…

地球与行星天体物理 · 物理学 2012-03-12 David Cébron , Michael Le Bars , Claire Moutou , Patrice Le Gal

The elliptical instability is a generic instability which takes place in any rotating flow whose streamlines are elliptically deformed. Up to now, it has been widely studied in the case of a constant, non-zero differential rotation between…

流体动力学 · 物理学 2012-06-19 David Cébron , Michael Le Bars , J. Noir , J. M. Aurnou

Tidally distorted rotating stars and gaseous planets are subject to a well-known linear fluid instability -- the elliptical instability. It has been proposed that this instability might drive enough energy dissipation to solve the…

地球与行星天体物理 · 物理学 2015-06-17 Adrian J. Barker , Yoram Lithwick

Several studies have already considered the influence of tides on the evolution of systems composed of a star and a close-in companion to tentatively explain different observations such as the spin-up of some stars with hot Jupiters, the…

太阳与恒星天体物理 · 物理学 2015-06-17 David Cébron , Michael Le Bars , Patrice Le Gal , Claire Moutou , J. Leconte , Alban Sauret

The elliptical instability is an instability of elliptical streamlines, which can be excited by large-scale tidal flows in rotating fluid bodies, and excites inertial waves if the dimensionless tidal amplitude ($\epsilon$) is sufficiently…

流体动力学 · 物理学 2023-03-08 N. B. de Vries , A. J. Barker , R. Hollerbach

I discuss two related nonlinear mechanisms of tidal dissipation that require finite tidal deformations for their operation: the elliptical instability and the precessional instability. Both are likely to be important for the tidal evolution…

地球与行星天体物理 · 物理学 2017-03-24 Adrian J. Barker

The combination of elliptical deformation of streamlines and vorticity can lead to the destabilisation of any rotating flow via the elliptical instability. Such a mechanism has been invoked as a possible source of turbulence in planetary…

流体动力学 · 物理学 2017-09-13 Thomas Le Reun , Benjamin Favier , Adrian J. Barker , Michael Le Bars

Tidal dissipation in star-planet systems can occur through various mechanisms, among which is the elliptical instability. This acts on elliptically deformed equilibrium tidal flows in rotating fluid planets and stars, and excites inertial…

地球与行星天体物理 · 物理学 2023-07-12 Nils B. de Vries , Adrian J. Barker , Rainer Hollerbach

We consider the hydrodynamic stability of homogeneous, incompressible and rotating ellipsoidal fluid masses. The latter are the simplest models of fluid celestial bodies with internal rotation and subjected to tidal forces. The classical…

经典物理 · 物理学 2017-12-06 Jérémie Vidal , David Cébron

The elliptical instability can take place in planetary cores and stars elliptically deformed by gravitational effects, where it generates large-scale three-dimensional flows assumed to be dynamo capable. In this work, we present the first…

经典物理 · 物理学 2013-09-10 David Cébron , Michael Le Bars , Pierre Maubert , Patrice Le Gal

We carry out a general study of the stability of astrophysical flows that appear steady in a uniformly rotating frame. Such a flow might correspond to a stellar pulsation mode or an accretion disk with a free global distortion giving it…

天体物理学 · 物理学 2009-11-10 J. C. B. Papaloizou

The essence of turbulent flow is the conveyance of energy through the formation, interaction, and destruction of eddies over a wide range of spatial scales--from the largest scales where energy is injected, down to the smallest scales where…

The full non-linear evolution of the tidal instability is studied numerically in an ellipsoidal fluid domain relevant for planetary cores applications. Our numerical model, based on a finite element method, is first validated by reproducing…

经典物理 · 物理学 2010-10-01 David Cébron , Michael Le Bars , Justin Leontini , Pierre Maubert , Patrice Le Gal

The stability of a rotating flow in a triaxial ellipsoidal shell with an imposed temperature difference between inner and outer boundaries is studied numerically. We demonstrate that (i) a stable temperature field encourages the tidal…

经典物理 · 物理学 2010-10-01 David Cébron , Pierre Maubert , Michael Le Bars

I present results from the first global hydrodynamical simulations of the elliptical instability in a tidally deformed gaseous planet (or star) with a free surface. The elliptical instability is potentially important for tidal evolution of…

地球与行星天体物理 · 物理学 2016-04-20 Adrian J. Barker

Vortices are the fundamental units of turbulent flow. Understanding their stability properties therefore provides fundamental insights on the nature of turbulence itself. In this contribution I briefly review the phenomenological aspects of…

地球与行星天体物理 · 物理学 2013-05-30 Wlad Lyra

We investigate whether the elliptical instability is important for tidal dissipation in gaseous planets and stars. In a companion paper, we found that the conventional elliptical instability results in insufficient dissipation because it…

地球与行星天体物理 · 物理学 2015-06-17 Adrian J. Barker , Yoram Lithwick
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