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首页> 外文期刊>Journal of Fluid Mechanics >Dynamics of sessile drops. Part 2. Experiment
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Dynamics of sessile drops. Part 2. Experiment

机译:无滴动态。第2部分。实验

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High-speed images of driven sessile water drops recorded under frequency scans are analysed for resonance peaks, resonance bands and hysteresis of characteristic modes. Visual mode recognition using back-lit surface distortion enables modes to be associated with frequencies, aided by the identifications in Part 1 (Bostwick & Steen, J. Fluid Mech., vol. 760, 2014, pp. 5-38). Part 1 is a linear stability analysis that predicts how inviscid drop spectra depend on base state geometry. Theoretically, the base states are spherical caps characterized by their 'flatness' or fraction of the full sphere. Experimentally, quiescent shapes are controlled by pinning the drop at a circular contact line on the flat substrate and varying the drop volume. The response frequencies of the resonating drop are compared with Part 1 predictions. Agreement with theory is generally good but does deteriorate for flatter drops and higher modes. The measured frequency bands agree better with an extended model, introduced here, that accounts for forcing and weak viscous effects using viscous potential flow. As the flatness varies, regions are predicted where modal frequencies cross and where the spectra crowd. Frequency crossings and spectral crowding favour interaction of modes. Modal interactions of two kinds are documented, called 'mixing' and 'competing'. Mixed modes are two pure modes superposed with little evidence of hysteresis. In contrast, modal competition involves hysteresis whereby one or the other mode disappears depending on the scan direction. Perhaps surprisingly, a linear inviscid irrotational theory provides a useful framework for understanding observations of forced sessile drop oscillations.
机译:分析在频率扫描下记录的驱动无柄水滴的高速图像的共振峰,共振带和特征模式的滞后。使用背光表面失真的视觉模式识别使模式能够与频率相关联,这要借助于第1部分中的标识(Bostwick&Steen,《流体力学》,第760卷,2014年,第5-38页)。第1部分是线性稳定性分析,它预测无滴液滴光谱如何依赖于基态几何形状。从理论上讲,基本状态是球形盖,其特征是其“平坦度”或整个球面的分数。实验上,通过将液滴固定在平面基板上的圆形接触线上并改变液滴体积来控制静态形状。将谐振降的响应频率与第1部分的预测进行比较。与理论的一致性通常是好的,但对于较平坦的下降和较高的模态却会恶化。测量的频段与此处介绍的扩展模型更好地吻合,该模型考虑了使用粘性势流的强迫和弱粘性效应。随着平坦度的变化,将预测模态频率交叉和频谱拥挤的区域。频率交叉和频谱拥挤有利于模式之间的相互作用。记录了两种模态交互,称为“混合”和“竞争”。混合模式是两个纯模式,几乎没有滞后迹象。相反,模态竞争涉及滞后,根据扫描方向,一个或另一个模式消失。也许令人惊讶的是,线性无粘性无旋理论提供了一个有用的框架,用于理解强迫无柄跌落振动的观测结果。

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