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Theoretical and Computational Fluid Dynamics, Vol.16 No.3. Theoretical Analysis of the Vibration of Axisymmetric Liquid Bridges of Arbitrary Shape / J. M. Montanero
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in Theoretical and Computational Fluid Dynamics
Titre de série : Theoretical and Computational Fluid Dynamics, Vol.16 No.3 Titre : Theoretical Analysis of the Vibration of Axisymmetric Liquid Bridges of Arbitrary Shape Type de document : articles et extraits Auteurs : J. M. Montanero, Auteur Année de publication : 2003 Importance : p.171-186 ISBN/ISSN/EAN : 0935-4964 Langues : Français (fre) Résumé : A liquid bridge consists of a mass of liquid sustained by the action of capillary forces between two parallel disks. The dynamics of these liquid columns has been extensively analysed both theoretically and experimentally over the last decades. Many of the studies have focused on the dynamical response of cylindrical liquid bridges subjected to the action of an oscillatory microgravity field due to, for instance, an in-phase vibration of the supporting disks. There have been fewer studies dealing with the vibration of axisymmetric liquid bridges of arbitrary shape. In this paper the dynamics of rotating inviscid axisymmetric liquid bridges is analysed considering the combined effect of residual gravity, the inequality of the disks and the liquid bridge volume. The results are calculated numerically by using the one-dimensional Cosserat model and the full three-dimensional description. The excitation is assumed to be of small amplitude and harmonic, so that the theoretical models are linearized and the analysis is performed in the frequency domain. The details of the numerical methods proposed are discussed. Comparison between the values of the first resonance frequency obtained from both models shows an excellent agreement for long liquid bridges, the discrepancies increasing as the value of the slenderness decreases.
in Theoretical and Computational Fluid Dynamics
Theoretical and Computational Fluid Dynamics, Vol.16 No.3. Theoretical Analysis of the Vibration of Axisymmetric Liquid Bridges of Arbitrary Shape [articles et extraits] / J. M. Montanero, Auteur . - 2003 . - p.171-186.
ISSN : 0935-4964
Langues : Français (fre)
Résumé : A liquid bridge consists of a mass of liquid sustained by the action of capillary forces between two parallel disks. The dynamics of these liquid columns has been extensively analysed both theoretically and experimentally over the last decades. Many of the studies have focused on the dynamical response of cylindrical liquid bridges subjected to the action of an oscillatory microgravity field due to, for instance, an in-phase vibration of the supporting disks. There have been fewer studies dealing with the vibration of axisymmetric liquid bridges of arbitrary shape. In this paper the dynamics of rotating inviscid axisymmetric liquid bridges is analysed considering the combined effect of residual gravity, the inequality of the disks and the liquid bridge volume. The results are calculated numerically by using the one-dimensional Cosserat model and the full three-dimensional description. The excitation is assumed to be of small amplitude and harmonic, so that the theoretical models are linearized and the analysis is performed in the frequency domain. The details of the numerical methods proposed are discussed. Comparison between the values of the first resonance frequency obtained from both models shows an excellent agreement for long liquid bridges, the discrepancies increasing as the value of the slenderness decreases.
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Code-barres Cote Support Localisation Section Disponibilité ART-6985-0 ART Document imprimé Bureau chercheur Bureau de LE DIZES, Stéphane Disponible Documents numériques
http://link.springer.de/link/service/journals/00162/bibs/3016003/30160171.htmURLTheoretical and Computational Fluid Dynamics, Vol.11 No.3-4. Instability of an axisymmetric vortex in a stably stratified, rotating environment / W. D. Smyth
in Theoretical and Computational Fluid Dynamics
Titre de série : Theoretical and Computational Fluid Dynamics, Vol.11 No.3-4 Titre : Instability of an axisymmetric vortex in a stably stratified, rotating environment Type de document : articles et extraits Auteurs : W. D. Smyth, Auteur ; J. C. McWilliams, Auteur Année de publication : 1998 Importance : p.305-322 Langues : Français (fre)
in Theoretical and Computational Fluid Dynamics
Theoretical and Computational Fluid Dynamics, Vol.11 No.3-4. Instability of an axisymmetric vortex in a stably stratified, rotating environment [articles et extraits] / W. D. Smyth, Auteur ; J. C. McWilliams, Auteur . - 1998 . - p.305-322.
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Code-barres Cote Support Localisation Section Disponibilité ART-7343-0 ART Document imprimé Bureau chercheur Bureau de LE DIZES Stéphane Disponible Theoretical and Computational Fluid Dynamics, Vol.11 No.3-4. On nonlinear baroclinic waves and adjustment of pancake dynamics / A. Babin
in Theoretical and Computational Fluid Dynamics
Titre de série : Theoretical and Computational Fluid Dynamics, Vol.11 No.3-4 Titre : On nonlinear baroclinic waves and adjustment of pancake dynamics Type de document : articles et extraits Auteurs : A. Babin, Auteur ; A. Mahalov, Auteur ; B. Nicolaenko, Auteur Année de publication : 1998 Importance : p.215-235 Langues : Français (fre) Résumé : Three-dimensional nonhydrostatic Euler-Boussinesq equations are studied for Bu = O(1) flows as well as in the asymptotic regime of strong stratification and weak rotation. Reduced prognostic equations for ageostrophic components (divergent velocity potential and geostrophic departure/thermal wind imbalance) are analyzed. We describe classes of nonlinear anisotropic ageostrophic baroclinic waves which are generated by the strong nonlinear interactions between the quasi-geostrophic modes and inertio-gravity waves. In the asymptotic regime of strong stratification and weak rotation we show how switching on weak rotation triggers frontogenesis. The mechanism of the front formation is contraction in the horizontal dimension balanced by vertical shearing through coupling of large horizontal and small vertical scales by weak rotation. Vertical slanting of these fronts is proportional to 7m1/2 where 7 is the ratio of the Coriolis and Brunt-Väisälä parameters. These fronts select slow baroclinic waves through nonlinear adjustment of the horizontal scale to the vertical scale by weak rotation, and are the envelope of inertio-gravity waves. Mathematically, this is generated by asymptotic hyperbolic systems describing the strong nonlinear interactions between waves and potential vorticity dynamics. This frontogenesis yields vertical ""gluing"" of pancake dynamics, in contrast to the independent dynamics of horizontal layers in strongly stratified turbulence without rotation.
in Theoretical and Computational Fluid Dynamics
Theoretical and Computational Fluid Dynamics, Vol.11 No.3-4. On nonlinear baroclinic waves and adjustment of pancake dynamics [articles et extraits] / A. Babin, Auteur ; A. Mahalov, Auteur ; B. Nicolaenko, Auteur . - 1998 . - p.215-235.
Langues : Français (fre)
Résumé : Three-dimensional nonhydrostatic Euler-Boussinesq equations are studied for Bu = O(1) flows as well as in the asymptotic regime of strong stratification and weak rotation. Reduced prognostic equations for ageostrophic components (divergent velocity potential and geostrophic departure/thermal wind imbalance) are analyzed. We describe classes of nonlinear anisotropic ageostrophic baroclinic waves which are generated by the strong nonlinear interactions between the quasi-geostrophic modes and inertio-gravity waves. In the asymptotic regime of strong stratification and weak rotation we show how switching on weak rotation triggers frontogenesis. The mechanism of the front formation is contraction in the horizontal dimension balanced by vertical shearing through coupling of large horizontal and small vertical scales by weak rotation. Vertical slanting of these fronts is proportional to 7m1/2 where 7 is the ratio of the Coriolis and Brunt-Väisälä parameters. These fronts select slow baroclinic waves through nonlinear adjustment of the horizontal scale to the vertical scale by weak rotation, and are the envelope of inertio-gravity waves. Mathematically, this is generated by asymptotic hyperbolic systems describing the strong nonlinear interactions between waves and potential vorticity dynamics. This frontogenesis yields vertical ""gluing"" of pancake dynamics, in contrast to the independent dynamics of horizontal layers in strongly stratified turbulence without rotation.
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Code-barres Cote Support Localisation Section Disponibilité ART-7481-0 ART Document imprimé Bureau chercheur Bureau de AMIELH Muriel Disponible