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Experimental and computational study of turbulent mixing in a confined rectangular jet

机译:密闭矩形射流中湍流混合的实验和计算研究

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摘要

Vortex behavior and characteristics in a confined rectangular jet with a co-flow were examined using vortex swirling strength as a defining characteristic. On the left side of the jet, the positively (counterclockwise) rotating vortices are dominant, while negatively rotating vortices are dominant on the right side of the jet. The characteristics of vortices, such as population density, average size and strength, and deviation velocity were calculated and analyzed in both the cross-stream direction and the streamwise direction. In the near-field of the jet, the population density, average size and strength of the dominant direction vortices show high values on both sides of the center stream with a small number of counter-rotating vortices produced in the small wake regions close to jet outlet. As the flow develops, the wake regions disappear, these count-rotating vortices also disappear, and the population of the dominant direction vortices increase and spread in the jet. The mean size and strength of the vortices decrease monotonically with streamwise coordinate. The signs of vortex deviation velocity indicate the vortices transfer low momentum to high velocity region and high momentum to the low velocity region. The developing trends of these characteristics were also identified by tracing vortices using time-resolved PIV data. Both the mean tracked vortex strength and size decrease with increasing downstream distance overall. At the locations of the left peak of turbulent kinetic energy, the two point spatial cross-correlation of swirling strength with velocity fluctuation and concentration fluctuation were calculated. All the correlation fields contain one positively correlated region and one negatively correlated region although the orientations of the correlation fields varied, due to the flow transitioning from wake, to jet, to channel flow. Finally, linear stochastic estimation was used to calculate conditional structures. The large-scale structures in the velocity field revealed by linear stochastic estimation are spindle-shaped with a titling stream-wise major axis.Vortex behavior and characteristics in a confined rectangular wake were also examined using swirling strength as a defining characteristic of a vortex. Instantaneous swirling strength field shows that positively (counterclockwise) rotating vortices are dominant on the right side of the wake and negatively (clockwise) rotating vortices are dominant on the left side. The population density, average size and strength of vortex cores all shows high peak values both sides of the wakes, while these peaks decrease quickly and the profiles broaden as the flow progresses downstream. The changing of vortex core maximum strength is seen relatively faster than the change of the core size. The results of mean cross-stream wise deviation velocity of vortex core shows the vortices in the wake spread from the neighborhood of wake to the centers of the free stream, and the mean streamwise deviation velocity indicates that vortices bringing high momentum fluid of the free stream into the the wake. Two point spatial cross-correlations of swirling strength with velocity fluctuations and concentration fluctuations were also calculated. All the cross correlation fields shown here exhibit a ``butterfly\u27\u27 like shape, with one ``wing\u27\u27 with positive correlation values and the other ``wing\u27\u27 with negative values. The axises of correlation fields are oriented in the streamwise direction in R λ u\u27 contours, and they tile towards the wake center on the both sides of the wake,while the axises in R λ v\u27 are oriented in the cross-stream direction, and they tile downstream on the both sides of the wake. The R λ phi\u27 results show some similarity to those of R λ v\u27, indicating the vortices play a similar role in mass transfer as in momentum transfer. Linear stochastic estimation was used to interpret the cross correlation result and visualize the underlining large scale coherent structures. The LSE results show a clear vortex street pattern in far fields of the wake, indicating the vortices, developed independently on both sides of the splitter plates, are reorganized and coherent as the flow develops downstream.Large-eddy simulations (LES) were performed for a confined rectangular liquid jet with a co-flow and compared in detail with particle image velocimetry (PIV) measurements. A finite-volume CFD library, OpenFOAM, was used to discretize and solve the filtered Navier-Stokes equation. The effects of grid resolution, numerical schemes and subgrid models on the LES results were investigated. Grid independence has been shown. The second and fourth order schemes showed the nearly same performance, while the fourth order scheme costs much more computationally. Subgrid model comparison showed that the locally dynamic procedure is necessary for complex flow simulation. Model validation was performed by comparing LES data for the one-point velocity statistics such as the mean and the root-mean-square velocity, shear stress, correlation coefficient, velocity skewness and flatness with the PIV data. In addition, LES data for the two-point spatial correlations of velocity fluctuations that provide structural information were computed and compared with PIV data. Very good agreement was obtained leading to the conclusion that the LES velocity field captures the large-scale structures present in the actual flow.Experimental data of combined particle image velocimetry (PIV) and planar laser-induced fluorescence (PLIF) measurements are used to analyzed the flow between the two scalar interfaces of confined turbulent jet and wake flow. The fluid of center stream of both flow cases contains a fluorescent dye, and normalized PLIF images were used to discriminate the inner and outer boundaries of the center stream. The growth of the boundaries of both flow cases are plotted and analyzed. The mean and fluctuations of the passive scalar, velocity, stain rate, and vorticity are determined relative to the locations of the two boundaries. The results show some unique perspectives of this co-flowing confined rectangular jet flow. The fluctuations of the passive scalar shows high values close to the outer boundary of jet , and the most of the properties of the velocity fields show high values on the left side of inner boundaries of the jet. The results of wake case are very symmetrical about the center of the wake, indicating the presence of the vortex street.
机译:使用涡旋涡旋强度作为定义特征,研究了并流的受限矩形射流中的涡旋行为和特性。在射流的左侧,正向(逆时针)旋转的涡流占主导地位,而负向旋转的涡流在射流的右侧占主导地位。计算并分析了涡流的特征,如人口密度,平均大小和强度以及偏离速度。在射流的近场中,优势流涡流的密度,平均大小和强度在中心流的两侧均显示出较高的值,并且在靠近射流的小尾流区域产生少量的反向旋转涡流出口。随着流动的发展,尾流区消失,这些计数旋转涡流也消失,主导方向涡流的数量增加并在射流中扩散。涡流的平均大小和强度随着流向坐标而单调减小。旋涡偏离速度的迹象表明旋涡将低动量传递到高速区域,将高动量传递到低速度区域。这些特征的发展趋势还通过使用时间分辨的PIV数据追踪涡旋来确定。随着总的下游距离的增加,平均跟踪涡流强度和大小都会减小。在湍动能的左峰位置,计算了回旋强度与速度波动和浓度波动的两点空间互相关。尽管由于流从尾流到射流再到通道流的过渡而使相关场的方向发生变化,但所有相关场都包含一个正相关区域和一个负相关区域。最后,使用线性随机估计来计算条件结构。线性随机估计揭示的速度场中的大型结构呈纺锤形,具有沿流向倾斜的主轴线。还以旋流强度作为旋涡的定义特征,研究了密闭矩形尾流中的旋涡行为和特性。瞬时旋流强度场显示,在尾流的右侧占主导地位的是正(逆时针)旋转涡流,在左侧是占主导地位的负(时针)旋转涡流。涡流核的种群密度,平均大小和强度均在尾流的两侧均显示出高峰值,而这些峰值迅速下降,并且随着流动向下游推进,剖面变宽。涡流核心最大强度的变化被认为比核心尺寸的变化要快。涡流芯的平均横向流向偏离速度结果表明,尾流中的涡流从尾流附近散布到自由流的中心,并且平均流向偏离速度表明涡流带来自由流的高动量流体进入尾声。还计算了回旋强度与速度波动和浓度波动之间的两点空间相关性。此处显示的所有互相关字段都呈现出类似``蝴蝶\ u27 \ u27''的形状,其中一个``wing \ u27 \ u27具有正相关值,另一个''wing \ u27 \ u27具有负相关值。相关场的轴在Rλu \ u27轮廓中沿流方向定向,并且它们在尾流的两侧朝向尾流中心平铺,而Rλv \ u27的轴则在交叉流中定向方向,它们在尾流的两侧向下游平铺。 Rλphi \ u27的结果显示出与Rλv \ u27的相似性,表明涡旋在质量传递中起着与动量传递相似的作用。线性随机估计用于解释互相关结果并可视化下划线的大型相干结构。 LSE结果显示出尾流远场中清晰的涡街模式,表明在分流板两侧独立形成的涡流随着下游流动而重新组织并保持一致。具有同流的密闭矩形液体射流,并与粒子图像测速(PIV)测量进行了详细比较。有限体积的CFD库OpenFOAM用于离散化和求解滤波后的Navier-Stokes方程。研究了网格分辨率,数值格式和子网格模型对LES结果的影响。网格独立性已显示。二阶和四阶方案显示出几乎相同的性能,而四阶方案的计算成本更高。子网格模型的比较表明,局部动力学过程对于复杂的流动模拟是必要的。通过比较用于单点速度统计的LES数据(例如均值和均方根速度,剪切应力,相关系数,速度偏度和平坦度)与PIV数据进行模型验证。另外,计算了提供结构信息的速度波动的两点空间相关性的LES数据,并将其与PIV数据进行了比较。获得了很好的一致性,从而得出结论:LES速度场捕获了实际流中存在的大型结构。使用组合粒子图像测速(PIV)和平面激光诱导荧光(PLIF)测量的实验数据进行分析有限湍流和尾流的两个标量界面之间的流动。两种流动情况的中心流流体都包含荧光染料,并且使用归一化的PLIF图像来区分中心流的内部和外部边界。绘制并分析了两种流动情况的边界的增长。相对于两个边界的位置,确定被动标量,速度,染色率和涡度的平均值和波动。结果显示了这种同流密闭矩形喷射流的一些独特观点。被动标量的波动在靠近射流的外边界处显示出较高的值,并且速度场的大多数特性在射流的内边界的左侧处显示出较高的值。尾流情况的结果关于尾流中心非常对称,表明存在涡街。

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    Kong, Bo;

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  • 年度 2011
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  • 原文格式 PDF
  • 正文语种 en
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