Growth and spectra of gravity–capillary waves in countercurrent air/water turbulent flow
Growth and spectra of gravity–capillary waves in countercurrent air/water turbulent flow
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DOI：
10.1017/jfm.2015.356
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发表时间：
2015-07
影响因子：
3.7
通讯作者：
F. Zonta;A. Soldati;M. Onorato
中科院分区：
文献类型：
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作者：
F. Zonta;A. Soldati;M. Onorato
利用直接数值模拟的N-S方程，分析了气液两相在相反的压力梯度(逆流构型)驱动下的界面动力学。雷诺数($\mathit{Re}_{{\it\tau}}$)、韦伯数($\mathit{We}$)和弗劳德数($\mathit{Fr}$)完全描述了物理问题。我们研究了不同物理参数组合下界面波的瞬时增长问题。在保持$\mathit{Re}_{{\it\tau}}$不变和变化$\mathit{We}$和$\mathit{Fr}$的情况下，我们证明，在波浪产生过程的初始阶段，界面高度${it\eta}$的幅度随时间增长，即${it\eta}\propto t^{2/5}$。毛细管区表面高程的波数谱$E(k_(X))$与波浪湍动理论的预测符合得很好。最后，讨论了波浪对平均风速和流速剖面的修正作用。
Using direct numerical simulation of the Navier–Stokes equations, we analyse the dynamics of the interface between air and water when the two phases are driven by opposite pressure gradients (countercurrent configuration). The Reynolds number ( $\mathit{Re}_{{\it\tau}}$ ), the Weber number ( $\mathit{We}$ ) and the Froude number ( $\mathit{Fr}$ ) fully describe the physical problem. We examine the problem of the transient growth of interface waves for different combinations of physical parameters. Keeping $\mathit{Re}_{{\it\tau}}$ constant and varying $\mathit{We}$ and $\mathit{Fr}$ , we show that, in the initial stages of the wave generation process, the amplitude of the interface elevation ${\it\eta}$ grows in time as ${\it\eta}\propto t^{2/5}$ . The wavenumber spectra, $E(k_{x})$ , of the surface elevation in the capillary range are in good agreement with the predictions of wave turbulence theory. Finally, the wave-induced modification of the average wind and current velocity profiles is addressed.