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首页> 外文期刊>Computers & Fluids >Numerical simulations of the generation of Taylor-Gortler vortices during spin-down to rest in finite-length cylinders
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Numerical simulations of the generation of Taylor-Gortler vortices during spin-down to rest in finite-length cylinders

机译：旋转至有限长圆柱体中静止期间泰勒-戈特勒涡旋产生的数值模拟

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摘要

Numerical simulations based on the unsteady Navier-Stokes equations are computed to study confined rotating flows during impulsive spin-down to rest. The focus is on the onset of Taylor-Gortler (TG) vortices generated in the sidewall boundary layer. A stability coefficient S{sub}c is introduced to follow the instant action between centrifugal force and pressure gradient. A new criterion for the prediction of the onset and the onset time of TG vortices is suggested. It is based on the sidewall stability coefficient S{sub}(blc), which is an integral of S{sub}c over the region of the sidewall boundary layer. According to this criterion, the TG vortices occur when there is a temporally local increase in S{sub}(blc) history. The numerical tests show that this criterion is more reliable and accurate than the criterion based on the history of the sidewall torque T{sub}s. It is also shown that the increase in S{sub}(blc) is particularly sensitive to the dramatic increase in the radial velocity gradient with respect to the axial direction near the midplane where the TG vortices appear first.
机译：计算了基于非稳态Navier-Stokes方程的数值模拟，以研究在脉冲旋转下降到静止期间的受限旋转流。重点是在侧壁边界层中产生的泰勒-戈特勒（TG）涡旋的开始。引入稳定性系数S {sub} c以跟随离心力和压力梯度之间的瞬时作用。提出了一种新的预测TG涡旋开始时间的方法。它基于侧壁稳定性系数S {sub}（blc），该系数是侧壁边界层区域上S {sub} c的积分。根据此标准，当S {sub}（blc）历史在时间上局部增加时，就会发生TG涡流。数值测试表明，该标准比基于侧壁扭矩T {sub} s历史的标准更加可靠和准确。还显示出，S {sub}（blc）的增加对径向速度梯度相对于在TG涡旋首先出现的中平面附近的轴向方向的急剧增加特别敏感。

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