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Titolo:
FARADAY RESONANCE IN WATER-WAVES AT NEARLY CRITICAL DEPTHS
Autore:
SEKERJZENKOVITCH SY; BORDAKOV GA; KALINITCHENKO VA; SHINGAREVA IK;
Indirizzi:
RUSSIAN ACAD SCI,INST PROBLEMS MECH,LAB WAVE PROC,PR VERNADSKOGO 101 MOSCOW 117526 RUSSIA RUSSIAN ACAD SCI,INST PROBLEMS MECH,LAB WAVE PROC MOSCOW 117526 RUSSIA
Titolo Testata:
Experimental thermal and fluid science
fascicolo: 2, volume: 18, anno: 1998,
pagine: 122 - 133
SICI:
0894-1777(1998)18:2<122:FRIWAN>2.0.ZU;2-H
Fonte:
ISI
Lingua:
ENG
Soggetto:
SURFACE-WAVES;
Keywords:
FARADAY RESONANCE; WATER STANDING WAVE; CRITICAL FLUID DEPTH; EXCITATION FREQUENCY; KRYLOV-BOGOLYUBOV AVERAGING METHOD; LAGRANGES VARIABLES; RESONANCE CURVE;
Tipo documento:
Article
Natura:
Periodico
Settore Disciplinare:
Science Citation Index Expanded
Science Citation Index Expanded
Science Citation Index Expanded
Citazioni:
13
Recensione:
Indirizzi per estratti:
Citazione:
S.Y. Sekerjzenkovitch et al., "FARADAY RESONANCE IN WATER-WAVES AT NEARLY CRITICAL DEPTHS", Experimental thermal and fluid science, 18(2), 1998, pp. 122-133

Abstract

For the Faraday resonance in a rectangular basin, the dependences of wave amplitude on excitation frequency for a given wave harmonic are investigated both theoretically and experimentally in the case that thefluid depth is equal or close to the critical depth. The third-order nonlinear correction to the wave frequency predicted by the linear theory is known to vanish at the critical depth. We give a comprehensive description of the fifth-order theory proposed and briefly described by Bordakov et al. [G.A. Bordakov, I.I. Karpov, S.Ya. Sekerh-Zen'kovich, I.K. Shingareva, Parametric excitation of surface waves for a fluid depth close to the critical value, Physics-Doklady 39 (2) (1994) 126-127, translated from Dokl. Acad. Nauk. 334(6) 710-711]. We use the Lagrangian formulation to write out the exact nonlinear equations and the dynamic and the kinematic boundary conditions and develop an asymptotic procedure based on the Krylov-Bogolyubov averaging method. The theory predicts the following properties of the resonance curves: (i) if the fluid depth is equal to or greater than the critical depth, then theresonance curve bears a soft-spring character; (ii) otherwise, the resonance curve consists of two separate branches; one branch has a soft-spring character and the other branch, a hard-spring character. This results in the hysteresis effect, which has an unusual form for the parametric resonance. We also present experimental data, which justify the predicted properties of the parametrically excited water waves. (C)1998 Elsevier Science Inc. All rights reserved.

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Documento generato il 11/07/20 alle ore 13:07:40