Weakly nonlinear analysis of impulsively-forced Faraday waves

نویسندگان
چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Weakly nonlinear analysis of impulsively-forced Faraday waves.

Parametrically-excited surface waves, forced by a repeating sequence of delta-function impulses, are considered within the framework of the Zhang-Viñals model [W. Zhang and J. Viñals, J. Fluid Mech. 336, 301 (1997)]. With impulsive forcing, the linear stability analysis can be carried out exactly and leads to an implicit equation for the neutral stability curves. As noted previously [J. Bechhoe...

متن کامل

Two–Frequency Forced Faraday Waves: Weakly Damped Modes and Pattern Selection

Recent experiments [1] on two–frequency parametrically excited surface waves exhibit an intriguing “superlattice” wave pattern near a codimension–two bifurcation point where both subharmonic and harmonic waves onset simultaneously, but with different spatial wavenumbers. The superlattice pattern is synchronous with the forcing, spatially periodic on a large hexagonal lattice, and exhibits small...

متن کامل

The Faraday resonance of interfacial waves in weakly viscous fluids

The Faraday resonance of interfacial waves in a two-layer, weakly-viscous system in a rectangular domain is presented. A perturbation analysis is pursued and, at the second-order, the scaling of the viscosity results in boundary layer corrections at the solid walls and at the interface. Special attention is paid to the damping in the meniscus region where the interface contacts the side-walls. ...

متن کامل

Square patterns and quasipatterns in weakly damped Faraday waves.

Pattern formation in parametric surface waves is studied in the limit of weak viscous dissipation. A set of quasi-potential equations (QPEs) is introduced that admits a closed representation in terms of surface variables alone. A multiscale expansion of the QPEs reveals the importance of triad resonant interactions, and the saturating effect of the driving force leading to a gradient amplitude ...

متن کامل

Scaling properties of weakly nonlinear coefficients in the Faraday problem.

Interesting and exotic surface wave patterns have regularly been observed in the Faraday experiment. Although symmetry arguments provide a qualitative explanation for the selection of some of these patterns (e.g., superlattices), quantitative analysis is hindered by mathematical difficulties inherent in a time-dependent, free-boundary Navier-Stokes problem. More tractable low viscosity approxim...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Physical Review E

سال: 2005

ISSN: 1539-3755,1550-2376

DOI: 10.1103/physreve.72.056212