O.V.Avramenko, I.T.Selezov Nonlinear wave package structure at the interface of two fluids |
Applied hydromechanics, Vol. 4 (76) ¹ 4, (2002) |
| The amplitudes of higher harmonics in nonlinear wave packages at the interface of two fluids are investigated with accounting of surface tension. The structure of the packages in symmetric system "half-space - half-space" and nonsymmetric system "layer - half-space" is considered on the basis of the solution obtained using the method of multiple scale expansions. It was noted that in the nonsymmetric system all of the next approximation defines amplitude of the corresponding harmonics only approximately, at that it gives corrections to the amplitudes of previous harmonics. The solution in the third approximation revealed existence of the extreme value of higher harmonics amplitude for some length of the first harmonic and the layer thickness. Dependence of the wave packeges form on the surface tension and the ratio between height and on length of the first harmonic is determined. |
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| TEXT LANGUAGE: Russian |