Preface Introduction 1. Fluid field equations and modal analysis in rigid containers 2. Linear forced sloshing 3. Viscous damping and sloshing suppression devices 4. Weakly nonlinear lateral sloshing 5. Equivalent mechanical models 6. Parametric sloshing (Faraday's waves) 7. Dynamics of liquid sloshing impact 8. Linear interaction of liquid sloshing with elastic containers 9. Nonlinear interaction under external and parametric excitations 10. Interactions with support structures and tuned sloshing absorbers 11. Dynamics of rotating fluids 12. Microgravity sloshing dynamics Bibliography Index.

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Liquid Sloshing Dynamics

Recent Advances in Liquid Sloshing Dynamics

The main effects on the dynamics of a liquid bridge due to the presence of an outer liquid, as occur in experiments using the Plateau-tank technique, are considered. The one-dimensional nonlinear model developed here allows us to perform the computation of both breaking processes and oscillatory motions of slender liquid bridges, although in this paper only the results concerning breaking processes are reported. Additionally, the oscillatory motions are studied both experimentally and by using a new linear model. Results from both sources show good agreement.

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The influence of the outer bath in the dynamics of axisymmetric liquid bridges

Propellant tank configurations, and dynamic response of propellant sloshing in launch vehicles

The dynamic behavior of liquids in moving containers - Introduction

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Quantitative characterization of micro-topography a bibliography of industrial surface metrology

Coupled oscillations of a solidly rotating liquid bridge

The determination of the damped natural frequencies of an infinitely long liquid column consisting of immiscible viscous liquids has been performed for various systems such as a single liquid column, two immiscible liquids in a rigid container, having an interfacial surface, a liquid around a rigid cylindrical center core, as well as two immiscible liquids with free liquid surface and interfacial surface. The frequency equation for the damped and coupled natural frequencies yields a complex determinant, from which the complex frequency has to be determined. It was noticed that besides the damped oscillatory root, which corresponds for vanishing viscosity to the undamped frequency of the frictionless liquid system, additional decayroots appear. Only the simple viscous infinite liquid column the frequency equation has been evaluated numerically. It could be shown that viscosity decreases the instability region for the axisymmetric (m = 0) case, and that this region depends upon the surface tension parameter.



Es werden die Frequenzgleichungen zur Bestimmung der gedampften naturlichen Frequenzen eines unendlich langen Flussigkeitsystems, bestehend aus nichtmischbaren viskosen Flussigkeiten, abgeleitet. Dabei wurden die einfachen Flussigkeitssaulen, zwei nichtmischbare Flussigkeiten in einem unendlichen starren Zylinder, eine Flussigkeitsoberflache behandelt. Die Frequenzgleichung ist eine Determinante, deren Auswertung die gedampften und gekoppelten Eigenfrequenzen liefert. Es konnte festgestellt werden, das neben den gedampften Schwingungsfrequenzen, die im Falle verschwindender Viskositat in diejenigen der reibungsfreien Flussigkeit Ubergehen, noch zusatzlich abklingende (nicht-oszillatorische) Wurzeln auftreten. Nur der Fall einer einfachen unendlichen viskosen Flussigkeitsbrucke wurde numerisch ausgewertet. Dabei konnte festgestellt werden, das die axialsymmetrischen Schwingungen (m = 0), die fur ka < 1 im reibungsfreien Fall instabil werden, im viskosen, Fall einen groseren Stabilitatsberich aufweisen, der im Gegensatz zur reibungsfreien Flussigkeitssaule noch zusatzlich von der Oberflachenspannung abhangt.

Helmut F. Bauer

Papers

Coupled oscillations of a solidly rotating liquid bridge

Natural Damped Frequencies of an Infinitely Long Column of Immiscible Viscous Liquids

Coupled frequencies of a liquid in a circular cylindrical container with elastic liquid surface cover

Free surface and interface oscillations of an infinitely long visco-elastic liquid column

Hydroelastic vibrations in a rectangular container