Laminar flows through a curved rectangular duct over a wide range of the aspect ratio
Laminar flows through a curved rectangular duct over a wide range of the aspect ratio
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在宽宽比范围内通过弯曲矩形管道的层流
DOI：
10.1016/s0169-5983(02)00103-x
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发表时间：
2002
影响因子：
1.5
通讯作者：
Ryuji Daikai
中科院分区：
文献类型：
--
作者：
S. Yanase;Y. Kaga;Ryuji Daikai
本文用谱方法研究了高宽比为1≤ 1 ≤ 12的弯曲矩形通道内的层流流动。在对称性条件下，用Newton-Raphson方法得到了定常解.结果发现了五个稳定解分支，并对所有稳定解的线性稳定性进行了研究。结果表明，在l的大部分区间内，一个稳定解是线性稳定的，但在l的小区间内，存在两个线性稳定的稳定解，并且在l的若干区间内，不存在线性稳定的稳定解.我们进行了时间演化计算和不对称条件，并观察到周期性振荡的对称条件和非周期性的时间演化没有对称条件。最后，目前的结果数值表明，什么决定哪种解决方案是可实现的可能是最大的动量转移的横截面。
The laminar flow in a curved rectangular duct for a range of the aspect ratio 1≤ l≤ 12 is investigated by use of the spectral method. The steady solutions are obtained using the Newton–Raphson method with the symmetry condition. As a result, five branches of steady solutions are found. Linear stability characteristics are also investigated for all the steady solutions. It is found that one steady solution is linearly stable for most of l, but two linearly stable steady solutions exist for a region of small l and there are several intervals of l where there is no linearly stable steady solution. We performed time-evolution calculations with and without the symmetry condition, and observed periodic oscillations with the symmetry condition and aperiodic time evolutions without the symmetric condition. Finally, the present results numerically suggest that what determines which solution is realizable may be the maximum of the momentum transfer in the cross section.