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Experimental study of absolute instability over a rotating disk.

机译:旋转盘上绝对不稳定性的实验研究。

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摘要

A series of experiments were performed to study the absolute instability of Type I traveling cross-flow modes in the boundary layer on a smooth disk rotating at constant speed. The basic flow agreed with analytic theory, and the growth of natural disturbances matched linear theory predictions. Controlled temporal disturbances were introduced by a short-duration air pulse from a hypodermic tube located above the disk and outside the boundary layer. The air pulse was positioned just outboard of the critical radius for Type I cross-flow modes. A hot-wire sensor primarily sensitive to the azirnuthal velocity component, was positioned at different spatial locations on the disk to document the growth of disturbances produced by the air pulses. Ensemble averages conditioned on the air pulses revealed wave packets that evolved in time and space. Two amplitudes of air pulses were used. The lower amplitude produced wave packets with linear amplitude characteristics that agreed with linear-theory wall-normal eigenfunction distributions and spatial growth rates. The higher amplitude pulse produced wave packets that had nonlinear amplitude characteristics. The space-time evolution of the leading and trailing edges of the wave packets were followed well past the critical radius for the absolute instability based on Lingwood (1995). With the linear amplitudes, the absolute instability was dominated by the convective modes, agreeing with the linear DNS simulations of Davies and Carpenter (2003). With the nonlinear amplitudes, larger temporal growth of the wave packets existed which supports the finite amplitude analysis of Pier (2003), and more closely resembles the wave packet evolution in the experimental study of Lingwood (1996). This suggests that the disturbance levels in the experiment that was intended to demonstrate the linear analysis, were likely fuite.
机译:进行了一系列实验,研究了以恒定速度旋转的光滑磁盘上边界层中I型行进横流模式的绝对不稳定性。基本流量与解析理论一致,自然扰动的增长与线性理论的预测相符。来自磁盘上方且边界层外部的皮下注射管的短时空气脉冲引入了受控的时间干扰。对于I型错流模式,空气脉冲刚好位于临界半径的外侧。主要对水合速度分量敏感的热线传感器位于磁盘上的不同空间位置,以记录由空气脉冲产生的干扰的增长情况。以空气脉冲为条件的集合平均值揭示了随时间和空间演化的波包。使用了两个振幅的空气脉冲。较低振幅产生的波包具有线性振幅特征,该特征与线性理论壁正态本征函数分布和空间增长率一致。高振幅脉冲产生具有非线性振幅特性的波包。根据Ling​​wood(1995),波包的前缘和后缘的时空演化都远远超过了绝对不稳定的临界半径。对于线性振幅,绝对不稳定性主要由对流模式决定,这与Davies和Carpenter(2003)的线性DNS模拟一致。在非线性振幅的情况下,波包存在较大的时间增长,这支持了Pier(2003)的有限振幅分析,并且与Lingwood(1996)的实验研究中的波包演化更相似。这表明,旨在证明线性分析的实验中的干扰水平可能是有限的。

著录项

  • 作者单位

    University of Notre Dame.;

  • 授予单位 University of Notre Dame.;
  • 学科 Engineering Aerospace.
  • 学位 Ph.D.
  • 年度 2005
  • 页码 266 p.
  • 总页数 266
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

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