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Stability of downslope flows to two-dimensional perturbations

机译：下坡的稳定性流动到二维扰动

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摘要

We consider the stability problem for wide, uniform stationary open flows down a slope with constant inclination under gravity. Depth-averaged equations are used with arbitrary bottom friction as a function of the flow depth and depth-averaged velocity. The stability conditions for perturbations propagating along the flow are widely known. In this paper, we focus on the effect of oblique perturbations that propagate at an arbitrary angle to the velocity of the undisturbed flow. We show that under certain conditions, oblique perturbations can grow even when the perturbations propagating along the flow are damped. This means that if oblique perturbations exist, the stability conditions found in the investigation of the one-dimensional problem are insufficient for the stability of the flow. New stability criteria are formulated as explicit relations between the slope and the flow parameters. The ranges of the growing disturbances propagation angles are indicated for unstable flows. Published under license by AIP Publishing.
机译：我们考虑宽，宽大的固定开放的稳定性问题，在重力下持续倾斜的斜坡下流。深度平均方程与随着流动深度和深度平均速度的函数的任意底部摩擦使用。沿流程传播的扰动的稳定性条件是众所周知的。在本文中，我们专注于倾斜扰动以任意角度传播到未受干扰流动的速度的影响。我们表明，在某些条件下，即使在沿着流动传播的扰动被阻尼，倾斜扰动也会增长。这意味着如果存在倾斜扰动，则在一维问题的研究中发现的稳定性条件不足以流动的稳定性。将新的稳定标准制定为坡度和流量参数之间的明确关系。向不稳定的流动表示不断增长的扰动传播角度的范围。通过AIP发布在许可证下发布。

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  • 来源
    《Physics of fluids》 |2019年第8期|共14页
  • 作者

    Zayko Julia; Eglit Margarita;

  • 作者单位

    Lomonosov Moscow State Univ Inst Mech Moscow 119192 Russia;

    Lomonosov Moscow State Univ Fac Mech &

    Math Moscow 119991 Russia;

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  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类 流体力学;
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