Surface Waves in a Square Container Due to Resonant Horizontal Oscillations : Classical Phenomenology and Applications
スポンサーリンク
概要
- 論文の詳細を見る
Resonantly forced water waves in a square container due to its horizontal oscillations are examined. The excited waves are assumed to be gravity waves for infinite depth. Using the reductive perturbation method and including the effect of a linear damping, we derive an evolution equation for the complex amplitudes of two degenerate resonant modes. When the angle θ between the direction of the oscillations and that along one of the sidewalls of the container is O° or 45°, we obtain planar stationary solutions without the rotation of wave pattern as well as a pair of non-planar ones associated with the clockwise or anti-clockwise rotation. If O° < θ < 45°, however, no planar stationary solution exists, and the symmetry between these non-planar solutions for θ = 0° or 45° is broken. We find the pitchfork bifurcations of the stationary solution for θ = 0° and 45°, and also the Hopf and saddle-node bifurcations of this solution for 0°≤ θ≤ 45°. Furthermore, periodic or chaotic solutions exist within the parameter region of no stable stationary solution for any . The obtained bifurcations of the stationary solutions are found to be a little more complicated than those for a circular cylinder.
- 社団法人日本物理学会の論文
- 2001-02-15
著者
-
YOSHIMATSU Katsunori
Department of Mechanical Engineering, Faculty of Engineering, Doshisha University
-
Funakoshi Mitsuaki
Department Of Applied Analysis And Complex Dynamical Systems Graduate School Of Informatics Kyoto Un
-
Funakoshi Mitsuaki
Department Of Applied Analysis And Complex Dynamical Systems Graduate School Of Informatics Kyoto Un
-
Yoshimatsu Katsunori
Department Of Applied Analysis And Complex Dynamical Systems Graduate School Of Informatics Kyoto Un
-
Yoshimatsu Katsunori
Department Of Applied Analysis And Complex Dynamical Systems
関連論文
- Symmetry Breaking of Radially Outgoing Flow between Two Parallel Disks(Electromagnetism, Optics, Acoustics, Heat Transfer, Classical Mechanics and Fluid Mechanics)
- Symmetry Breaking of Radially Outgoing Flow between Two Parallel Disks
- Reynolds-Number Dependence of Fluid Mixing in a Spatially Periodic Three-Dimensional Steady Flow(Oscillation, Chaos and Network Dynamics in Nonlinear Science)
- Chaotic motion of fluid particles around a rotating elliptic vortex in a linear shear flow
- Chaotic mixing in a helix-like pipe with periodic variations in curvature and torsion
- Two-Dimensional Thermal Convection in a Parallelogram-Shaped Cavity with Inclined Sidewalls
- Generation of long waves in a fluid flowing over a localized topography at a periodically varying velocity
- Surface Waves in a Square Container Due to Resonant Horizontal Oscillations : Classical Phenomenology and Applications
- Linear Temporal Instability of a Two-Layer Axisymmetric Cylindrical Liquid Sheet(Electromagnetism, optics, acoustics, heat transfer, classical mechanics, and fluid mechanics)
- Reynolds Number Dependences of Velocity Field and Fluid Mixing in Partitioned-Pipe Mixer(Electromagnetism, Optics, Acoustics, Heat Transfer, Classical Mechanics and Fluid Mechanics)
- Chaotic mixing caused by an axially periodic steady flow in a partitioned-pipe mixer
- Primary Patterns in Faraday Surface Waves at High Aspect Ratio
- Third-Harmonic Resonance in Two-Dimensional Faraday waves : Classical Phenomenology and Applications
- Chaotic mixing due to a spatially periodic three-dimensional flow
- Lagrangian Chaos and Mixing of Fluids
- Nonlinear Time Evolution of a Two-Layer Cylindrical Liquid Sheet
- Chaotic mixing and mixing efficiency in a short time