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A BYPASS SCENARIO OF LAMINAR-TURBULENT TRANSITION IN THE WIND-DRIVEN FREE-SURFACE BOUNDARY LAYER

机译:风力自由表面边界层中层湍流过渡的旁路场景

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摘要

The work is concerned with the theoretical and experimental study of laminar-turbulent transition in the wind induced boundary layer in water beneath the free surface. The mechanism of this transition has not been identified yet and the present work is aimed to fill this gap. The experiments in the wave tank showed that the first perturbations which emerge out of natural primordial noise are long compared to the boundary layer thickness, then they gradually grow, become more nonlinear until suddenly a strong localised instability occurs. This instability results in almost immediate breakdown of the laminar boundary layer and formation of localised 3D turbulent spots. The spots slowly expand down?stream forming turbulent streaks having the shape of upstream pointed arrow?heads marked by the wind generated capillary-gravity waves on the water sur?face. The streaks merge further downstream creating basin-wide turbulence zone. The notable feature of the observed transition is that there is no univer?sal critical Reynolds number, although the results are reproducible for the same values of wind. The critical distance Xc where the turbulent spots first appear is found to be inversely proportional to the wind stress at the surface.The theoretical study begins with the classical linear stability analysis car?ried out within the framework of OiT-Sommerfeld equation with the appropriate boundary conditions. In contrast to classical wall boundary layers, there are no linearly unstable modes. An analysis of weakly-nonlinear evolution of de?caying perturbations under some unrestrictive assumptions suggests an unusual bypass scenario based on the explosive transverse instability of solitary waves as a plausible mechanism for the transition.
机译:该工作涉及在自由表面下方水中诱导边界层中层湍流过渡的理论和实验研究。尚未确定此转型的机制,目前的工作旨在填补这种差距。波槽中的实验表明,与边界层厚度相比,从自然原始噪声中出现的第一扰动,然后它们逐渐生长,变得更加非线性,直到突然发生强烈的局部不稳定性。这种不稳定导致层层边界层的几乎立即击穿和局部3D湍流斑点的形成。斑点慢慢膨胀?流形成具有上游尖箭头形状的湍流条纹?由风发出的毛细管 - 重力波在水血管上。条纹合并进一步下游创建池宽湍流区。观察到的过渡的显着特征是没有大学的临界雷诺数,尽管结果是相同的风量词的再现性。发现湍流点首先出现的临界距离XC与表面的风力应力成反比。理论研究始于古典线性稳定性分析轿厢?在具有适当边界的OIT-Sommerfeld等式的框架内突出状况。与古典墙边界层相比,没有线性不稳定的模式。一些不受限制假设下DE的弱非线性演化的分析表明,基于孤立波的爆炸性横向不稳定性作为过渡的合理机制,不寻常的旁路场景。

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