Nonlinear flexural waves in fluid-filled elastic channels
Nonlinear flexural waves in fluid-filled elastic channels
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DOI：
10.1016/j.jfluidstructs.2014.08.008
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发表时间：
2015-01-01
影响因子：
3.6
通讯作者：
Whittaker, R. J.
中科院分区：
文献类型：
--
作者：
Deacon, N. P.;Parau, E. I.;Whittaker, R. J.
本文用解析和数值方法研究了无限大弹性薄板间液膜上的非线性波动。线性和非线性模型用于耦合到流体的欧拉方程的弹性板。基于长波长近似，导出了一维含时方程。弹性板的惯性被忽略，所以线性扰动是稳定的。对称和混合模式行波被发现与线性板模型和对称行波被发现的非线性情况。数值模拟研究了初始扰动随时间的演化，并比较了不同的模型。与线性模型相比，非线性效应降低了行波速度。在足够大的初始扰动振幅下，由非线性引起的高阶时间振荡可导致液膜厚度趋近于零。(C)2014作者爱思唯尔有限公司出版
Nonlinear waves on liquid sheets between thin infinite elastic plates are studied analytically and numerically. Linear and nonlinear models are used for the elastic plates coupled to the Euler equations for the fluid. One-dimensional time-dependent equations are derived based on a long-wavelength approximation. Inertia of the elastic plates is neglected, so linear perturbations are stable. Symmetric and mixed-mode travelling waves are found with the linear plate model and symmetric travelling waves are found for the nonlinear case. Numerical simulations are employed to study the evolution in time of initial disturbances and to compare the different models used. Nonlinear effects are found to decrease the travelling wave speed compared with linear models. At sufficiently large amplitude of initial disturbances, higher order temporal oscillations induced by nonlinearity can lead to thickness of the liquid sheet approaching zero. (C) 2014 The Authors. Published by Elsevier Ltd.