Emanuel Peleg, Feigel Alexander
Racah Institute of Physics, The Hebrew University, 9190401 Jerusalem, Israel.
Phys Rev E. 2021 Aug;104(2-2):025108. doi: 10.1103/PhysRevE.104.025108.
We present a link between the theory of deep water waves and that of bubble surface perturbations. Theory correspondence is shown analytically for small wavelengths in the linear regime and investigated numerically in the nonlinear regime. To do so, we develop the second-order spatial perturbation equations for the Rayleigh-Plesset equation and solve them numerically. Our code is publicly available. Studying capillary waves on stable bubbles, we recreate the Kolmogorov-Zakharov spectrum predicted by weak turbulence theory, putting wave turbulence theory to use for bubbles. In this investigation, it seems that curvature does not affect turbulent properties. The calculated bubble surface responds qualitatively to low gravity experiments. The link demonstrated opens new possibilities for studying several bubble phenomena, including sonoluminescence and cavitation, using the extensive tools developed in the wave turbulence framework.
我们展示了深水波理论与气泡表面扰动理论之间的联系。对于线性 regime 中的小波长，通过解析证明了理论对应关系，并在非线性 regime 中进行了数值研究。为此，我们推导了瑞利 - 普莱斯方程的二阶空间扰动方程并进行了数值求解。我们的代码是公开可用的。通过研究稳定气泡上的毛细波，我们重现了弱湍流理论预测的柯尔莫哥洛夫 - 扎哈罗夫谱，将波湍流理论应用于气泡研究。在这项研究中，似乎曲率并不影响湍流特性。计算得到的气泡表面对低重力实验做出了定性响应。所展示的这种联系为利用波湍流框架中开发的广泛工具研究包括声致发光和空化在内的多种气泡现象开辟了新的可能性。
