Four-dimensional turbulence in a plane channel
Four-dimensional turbulence in a plane channel
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平面通道内的四维湍流
DOI：
10.1017/jfm.2011.148
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发表时间：
2011
影响因子：
3.7
通讯作者：
NIKITIN N
中科院分区：
文献类型：
--
作者：
NIKITIN N
针对平面通道几何形状，数值求解了四维（4D）不可压缩Navier-Stokes方程。第四个空间坐标被正式地引入为齐次的，并且在数学上与其他坐标正交，类似于展向坐标。在Re = 4000 ~ Re = 10000的雷诺数范围内，观察到叠加在3D湍流解上的小的4D扰动的指数增长。用壁面单元表示的小四维扰动的增长率为λ+4D = 0.016，与雷诺数无关。四维扰动的非线性演化导致湍流的衰减和再层化，或建立一个自维持的四维湍流解（四维湍流）。根据网格分辨率，在最低雷诺数下获得了流动演化的两个结果，指出Re = 4000附近为4D湍流的临界雷诺数。自持4D湍流似乎是不太激烈的平均壁摩擦，这是约55%的经验迪恩法预测的湍流通道流在所有雷诺数考虑相比，与3D湍流。因此，四维槽道湍流的阻力定律可以表示为Cf = 0.04Re-0.25。
The four-dimensional (4D) incompressible Navier–Stokes equations are solved numerically for the plane channel geometry. The fourth spatial coordinate is introduced formally to be homogeneous and mathematically orthogonal to the others, similar to the spanwise coordinate. Exponential growth of small 4D perturbations superimposed onto 3D turbulent solutions was observed in the Reynolds number range from Re = 4000 to Re = 10000. The growth rate of small 4D perturbations expressed in wall units was found to be λ+4D = 0.016 independent of Reynolds number. Nonlinear evolution of 4D perturbations leads either to attenuation of turbulence and relaminarization or to establishment of a self-sustained 4D turbulent solution (4D turbulent flow). Both results on flow evolution were obtained at the lowest Reynolds number, depending on the grid resolution, pointing to the proximity of Re = 4000 as the critical Reynolds number for 4D turbulence. Self-sustained 4D turbulence appeared to be less intense compared with 3D turbulence in terms of mean wall friction, which is about 55% of that predicted by the empirical Dean law for turbulent channel flow at all Reynolds numbers considered. Thus, the law of resistance of 4D turbulent channel flow can be expressed as Cf = 0.04Re−0.25.
湍流壁流中的扰动增长率
影响因子：
0.9
作者：
Nikitin N
通讯作者：
Nikitin N
DOI：
10.1088/0305-4470/11/1/020
发表时间：
1978
期刊：
Journal of Physics A
影响因子：
--
作者：
J. Fournier;U. Frisch;H. Rose
通讯作者：
H. Rose
影响因子：
4.6
作者：
Suzuki, E;Nakano, T;Gotoh, T
通讯作者：
Gotoh, T