The Propagation of the Front of Parametrically Excited Capillary Ripples
The propagation of the capillary ripple front of the surface of a fluid in a periodically oscillating vessel is investigated theoretically and experimentally. The propagation velocity of the parametric instability front is found from the linear theory; it is demonstrated that the nonlinear front propagates with linear velocity. The front of a parameterically excited ripple is obtained in laboratory conditions’ and the dependence of the front velocity on supercriticality is found experimentally.
Unable to display preview. Download preview PDF.
- 1.W.A. Wasilyev, Yu.M. Romanovsky, W.G. Yakhno. Autowave Processes. Moscow, Nauka, 1987 (in Russian).Google Scholar
- 2.M.I. Rabinovitch, D.I. Trubetskov. Introduction to the Theory of Oscillations and Waves. Moscow, Nauka, 1984 (in Russian).Google Scholar
- 3.V.E.Zakharov, V.S.L’vov, S.L.Musher. Sov.Phys.-Solid State, 1972, 14, 2913 (in Russian).Google Scholar
- 4.A.B. Yezersky, M.I. Rabinovitch, B.P. Reutov, I.S. Starobinets. Sov.Phys.-Zh. Eksp. Teor. Fiz., 1986, 91, 6 (12), 2070 (in Russian).Google Scholar
- 6.L.D. Landau, Ye.M. Lifshits. The Electrodynamics of Continuous Media. Moscow, Nauka, 1981 (in Russian).Google Scholar
- 7.V.A. Krasil’nikov, V.I. Pavlov. Moscow State Univ. Trans., Physics. 1972, 1, 94 (in Russian).Google Scholar
- 8.A.N. Kolmogorov, I.G. Petrovsky, N.S. Piskunov. Moscow State Univ. Bulletin, Sect. A., 1937, 1, 6, 1 (in Russian).Google Scholar
- 10.G.E. Forsythe, W.G. Vazow. Finite-Difference Methods for Partial Differential Equations. New York, Wiley, 1959.Google Scholar