## Spatially Evolving(空间演变)研究综述

Spatially Evolving 空间演变 - The primary object of this study is to derive new scaling laws for passive scalar statistical quantities in temporally and spatially evolving plane turbulent jet flows.^{[1]}The theoretical framework is based on the exact equation for the second-order moment of the two-point velocity increment and allows us to trace, for the first time, the spatially evolving cascade processes at the basis of turbulence mixing and entrainment.

^{[2]}Studies have shown that under rainfall conditions, some temporally and spatially evolving transient saturated zones will form inside the slope, which will cause the continuous degradation of the rock and soil mechanical properties of the slope in this zone, and eventually cause the slope to instability.

^{[3]}They originate from the out-of-plane flexibility of 2D materials introducing spatially evolving electronic structure and friction behavior.

^{[4]}As well as being able to compute time-dependent spatially evolving solutions numerically, the resulting model allows steady-state solutions to be constructed for the height, width and depth-averaged velocity profile across a leveed channel, which are in good quantitative agreement with small scale analogue experiments using monodisperse dry sand.

^{[5]}Cities are spatially evolving complex systems.

^{[6]}With the Eulerian–Lagrangian point-source method, turbulence modulation by dispersed particles is systematically investigated in a three-dimensional spatially evolving compressible mixing layer with the convective Mach number up to 1.

^{[7]}We investigate the properties of the velocity gradient tensor for spatially evolving turbulent flows (a near-wake, two axisymmetric jets and a planar mixing layer).

^{[8]}We investigate this observation and provide a possible explanation for the disparity between the results of local and global receptivity analysis in spatially evolving flows.

^{[9]}We develop a model of the skin-friction coefficient based on scalar images in the compressible, spatially evolving boundary-layer transition.

^{[10]}First experimental detection of spatially evolving TS wave-packets were reported by Schubauer and Skramstad (J Aeronaut Sci, 14(2), 69–78, [16]), who essentially perturbed the ZPGBL boundary layer by vibrating a ribbon at a fixed frequency inside it.

^{[11]}The DE analysis is applied to a set of spatially evolving premixed jet flames at different Reynolds numbers.

^{[12]}In this paper, direct numerical simulation (DNS) of spatially evolving flat plate hypersonic turbulent boundary layer with free-stream Mach number 8 is used to study the effects of wall temperature on compressibility and Reynolds stress contribution.

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本研究的主要目的是在时间和空间演变的平面湍流射流中为被动标量统计量推导新的比例定律。

^{[1]}该理论框架基于两点速度增量的二阶矩的精确方程，并允许我们首次在湍流混合和夹带的基础上追踪空间演变的级联过程。

^{[2]}研究表明，在降雨条件下，边坡内部会形成一些时空演化的瞬态饱和带，导致该带内边坡岩土力学性质不断退化，最终导致边坡失稳。

^{[3]}它们源于二维材料的平面外灵活性，引入了空间演变的电子结构和摩擦行为。

^{[4]}除了能够以数值方式计算随时间变化的空间演化解外，所得模型还允许为跨堤通道的高度、宽度和深度平均速度剖面构建稳态解，这与小河道具有良好的定量一致性。使用单分散干沙进行规模模拟实验。

^{[5]}城市是空间演化的复杂系统。

^{[6]}利用欧拉-拉格朗日点源方法，系统地研究了对流马赫数高达1的三维空间演化可压缩混合层中分散粒子的湍流调制。

^{[7]}我们研究了空间演化湍流（近尾流、两个轴对称射流和平面混合层）的速度梯度张量的特性。

^{[8]}我们调查了这一观察结果，并为空间演变流动中局部和全局接受度分析结果之间的差异提供了可能的解释。

^{[9]}我们基于可压缩的、空间演化的边界层过渡中的标量图像开发了皮肤摩擦系数模型。

^{[10]}Schubauer 和 Skramstad (J Aeronaut Sci, 14(2), 69-78, [16]) 报告了对空间演化 TS 波包的首次实验检测，他们通过以固定频率振动带基本上扰乱了 ZPGBL 边界层在里面。

^{[11]}DE 分析应用于一组不同雷诺数的空间演化预混射流火焰。

^{[12]}本文采用自由流马赫数 8 的空间演化平板高超音速湍流边界层的直接数值模拟 (DNS) 研究壁温对可压缩性和雷诺应力贡献的影响。

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