The Critical Condition for the Onset of Waves on the Free Surface of a Horizontal Liquid Layer under a Vertical Oscillation

スポンサーリンク

概要

• 論文の詳細を見る

• Waves on the free surface of a viscous liquid layer in horizontally infinite extent under a vertically imposed oscillation are investigated theoretically by a linear theory. They are governed by a kind of ordinary differential equation with periodic coefficients. In the case of the subharmonic response, the stability boundary, which separates the unstable region from the stable one, is obtained numerically for a given wave number of the disturbance. The curves, which envelope these stability boundaries for various wave numbers, i.e. the neutral stability curves, are obtained in the frequency-amplitude space. It is found from these neutral stability curves that there is a minimum value in the critical amplitude, above which a disturbance begins to occur. Meanwhile, the neutral stability curves are obtained experimentally by using glycerine as a viscous liquid. The experimental critical amplitudes are shown to be in good agreement with the theoretical ones.

• 一般社団法人日本機械学会の論文

著者

• Hasegawa Eiji

  Faculty Of Engiineering Keio Univ.

• Atsumi Motohiro

  Faculty Of Science And Technology Keio University

• UMEHARA TOSHIYUKI

  Faculty of Science and Technology, Keio University

• Umehara Toshiyuki

  Faculty Of Science And Technology Keio University

関連論文

• The Prevention of Wave Motions in a Liquid Layer under a Vertical Periodic Motion Due to a Superposed Thin Viscous Liquid Layer
• On the Trajectories of a Small Particle Passing Through a Narrow Curved Channel
• Motion of Small Particles In a Viscous Flow Past Many Square Cylinders
• On the Collision Between Small Particles and a Plane Wall in a Jet
• Motion of Small Particles due to a Pulsatile Flow in a Chamber
• Movement of Small Particles Caused by an Air Flow in a Chamber
• Heat Generation in a Viscous Flow Between a Horizontally and Vertically Oscillating Plane and a Fixed Plane
• Lateral Vibration of a Flexible Pipe Conveying Fluid with Pulsating Flow
• Buckling and Postbuckling Behavior of a Flexible Pipe Conveying Fluid
• Instability of a System of Two Different Viscous Fluids being Separated by an Elastic Plate
• Squeeze Films between a Rotating Curved Disk and a Plane Wall
• Influence of the Buoyancy Force on the Flow of a Particle-Fluid Mixture Induced by an Oscillating Flat Plate
• Particle Collision on the Wall in a Stagnation Flow
• Effect of the Wind Fluctuation on the Stability of a Liquid Layer Flowing down an Inclined Plane
• Stability of a Liguid Layer down the Surface of a Vertical Rotating Cylinder
• Particle Collision with a wall in an Oblique Stagnation Flow under the Action of Gravity
• Critical Condition for Collision of Suspended Small Particles with a Body in a Viscous Fluid
• Leakage of a Fluid through a Narrow Channel with a Wavy Wall
• Flow in a Viscous Fluid Caused by a Velocity Distribution Given on a Plane Boundary
• Motion of a Viscous Liquid Layer Covered by a Thin Plate Subject to Gas Stream
• Flow Induced by an Oscillating Plate in a Particle-fluid Mixture
• Finite Amplitude Waves of an Elastic Plate Covering the Surface of a Fluid Layer
• The Influence of Heating and Cooling on the Stability of a Liquid Layer
• Viscous Flow Induced in a Half Space by Two Sources with Different Strengths on a Wall
• Waves on the Interface of Two-Liquid Layers in a Vertical Periodic Motion
• The Stability of Flows of Two Different Fluids which are Separated by a Thin Elastic Plate
• Nonlinear Stability of a Thin Liquid Layer Flowing Down an Oscillating Plane
• An Oil Sheet on the Wall Rising to a Heavy Fluid under Gravity
• Decrease of the Critical Rayleigh Number by a Temperature Fluctuation
• The Critical Condition for the Onset of Waves on the Free Surface of a Horizontal Liquid Layer under a Vertical Oscillation
• On Steady Flow Through a Channel Consisting of an Uneven and a Plane Wall : Part 2, Case of Walls with a Relative Velocity
• Stability of a Liquid Layer down the Suface of a Vertical Cylinder
• Instability of Flow of Two Horizontal Fluid Layers Due to Interfacial WAves
• Finite Amplitude Waves on an Elastic Plate Horizontally Separating Two Different Fluid Streams
• Equilibrium Vortex Motion in Circular Couette Flow
• Two Vortices Interaction between Concentric Rotating Cylinders
• On Squeeze Film of a Curved Circular Plate
• Heat Flux Across Viscous Flow in Wavy Channels

もっと見る 閉じる

スポンサーリンク