论文标题
固定接触线对水波分散关系的影响的时空解决测量值
Space-time resolved measurements of the effect of pinned contact line on the dispersion relation of water waves
论文作者
论文摘要
我们报告了一项实验研究，该研究对狭窄的通道中的重力毛皮波的传播具有固定的接触线。通过使用傅立叶变换过滤法（FTP），我们测量静态弯曲弯板以及表面扰动。通过改变毛细管长度的7至15倍的通道宽度，我们显示边缘约束如何修改表面曲率，从而改变了分散关系。从时空解析场中，我们将线性模式的分解到满足固定接触线状况的横向模式上。这种方法通过实验分析对理论模型进行补充，允许使用强大的统计数据计算波数和固有频率。我们通过实验验证模型的收敛性和线性近似的相关性。此外，我们分析了实验测量的静态弯月板的相对贡献。计算的固有频率与强迫频率之间的一个极好的一致性证实了实际的时空解决测量表面的贡献。这些实验结果是对固定的接触线在变形表面上施加的附加恢复力的影响的准确估计，从而增加了波浪腔。这种效果的局部特征是通过频道宽度的函数的分散关系的偏移的减少来证明的。
We report on an experimental investigation of the propagation of gravity-capillary waves in a narrow channel with a pinned contact line. By using Fourier Transform Profilometry (FTP) we measure the static curved meniscus as well as the surface perturbation. By varying the channel width, between 7 and 15 times the capillary length, we show how edge constraints modify the surface curvature and therefore the dispersion relation. From the space-time resolved field, we obtain a decomposition of the linear mode onto transverse modes satisfying the condition of pinned contact line. This approach, in which we complement the theoretical model with experimental analysis, allows computations of wavenumbers and natural frequencies with a robust statistics. We verify experimentally the convergence of the model and the pertinence of the linear approximation. In addition, we analyze the relative contribution of the experimentally measured static meniscus. An excellent agreement between the computed natural frequencies and the forcing frequency confirms the contribution of the actual space-time resolved measured surface. These experimental results are an accurate estimation of the influence of the additional restoring force exerted by the pinned contact line on the deformed surface which increases the wave celerity. The local character of this effect is evidenced by the decrease of the shift of the dispersion relation as a function of the channel width.
