Steady, Oscillating, and Blowup Solutions of a Nonlinear Equation Describing the Marangoni Instability of a Liquid Sheet with Both Free Boundaries(General)
スポンサーリンク
概要
- 論文の詳細を見る
We examine spatially periodic solutions of a nonlinear evolution equation describing the Marangoni instability of a planar liquid sheet with both free boundaries. The equation includes energy supply and dissipation terms and exhibits long wave instability. Numerical analysis shows that steady, oscillating and blowup solutions exist for particular parameters of the equations. The reduced amplitude equation explains that the steady and blowup properties of the solutions are determined by the parameter ratios in the original equation.
- 社団法人日本物理学会の論文
- 2008-05-15
著者
-
Yoshinaga Takao
Department Of Engineering Science Osaka University
-
Kan Kentaro
Department Of Engineering Science Osaka University
関連論文
- Behavior of a Free Liquid Sheet Subject to a Temperature Difference between Both Surfaces : Classical Phenomenology and Applications
- Nonlinear Wave Behavior of the Sinuous Mode on a Free Liquid Sheet with Variable Surface Tension and Viscosity(Electromagnetism, Optics, Acoustics, Heat Transfer, Classical Mechanics and Fluid Mechanics)
- Nonlinear Instability and Breakup of a Viscous Compound Liquid Jet
- Modified Membrane Approximation on a Thin Liquid Sheet : Classical Phenomenology and Applications
- Solitary and Shock Waves on a Coupled Transmission Line
- Solitary and E-Shock Waves in a Resonant System between Long and Short Waves
- Note on the Unstable Nonlinear Schrodinger Equation
- Second Order K-dV Soliton on a Nonlinear Transmission Line
- Nonlinear Wave Interactions on a Discrete Transmission Line
- Trapping of K-dV Solitons in Sinusoidally Nonuniform Media with Weak Dissipation
- Efficient Release of Thermostable β-Galactosidase by Glycine Addition and Thermal Treatment of Escherichia coli Cells
- Breakup of a falling liquid sheet caused by amplified modulational waves
- Fast and Slow Mode Solitons on a Coupled Transmission Line
- Asymptotic Behaviour of a Negative Rectangular Pulse on a Nonlinear LC Ladder Line
- Long Wave Instability of the Bulge Mode on a Free Liquid Sheet with Variable Surface Tension and Viscosity(Electromagnetism, Optics, Acoustics, Heat Transfer, Classical Mechanics and Fluid Mechanics)
- Linearly Unstable Modes on the Membrane Approximation to an Annular Liquid Sheet
- Traveling Wave Solutions of a Nonlinear Equation for a Liquid Sheet Subject to a Temperature Difference between Both Surfaces
- Steady, Oscillating, and Blowup Solutions of a Nonlinear Equation Describing the Marangoni Instability of a Liquid Sheet with Both Free Boundaries(General)
- Instability of a planar liquid sheet with surrounding fluids between two parallel walls
- Oscillatory Solitary Waves in a Resonant System betwenn Long Gravity and Short Capillary Waves
- Note on Applying the Vortex Method to a Fluid Sheet