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离心泵叶片压力面固液两相流的边界层分析 被引量:6
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作者 朱玉才 吴玉林 +2 位作者 曲衍国 于京诺 王亮申 《工程热物理学报》 EI CAS CSCD 北大核心 2005年第3期429-431,共3页
给出了离心泵叶片压力表面固液两相流体边界层控制方程和叶片压力面边界层分离参考点位置估算的一种方法,通过实例计算分析了相关的边界层参数,计算结果说明固液两相流的边界层厚度δ2随叶片弯曲系数Kν的减低和随质量浓度ρm的增加而减... 给出了离心泵叶片压力表面固液两相流体边界层控制方程和叶片压力面边界层分离参考点位置估算的一种方法,通过实例计算分析了相关的边界层参数,计算结果说明固液两相流的边界层厚度δ2随叶片弯曲系数Kν的减低和随质量浓度ρm的增加而减薄,并给出了对比试验的验证结果,结果是大于临界速度系数的叶片将使测试泵的性能有不同程度的下降,并且测试浓度的增加有抑制边界层分离的作用。它说明离心泵叶片压力面两相流边界层分离点的位置是随叶片形状的改变而移动的,是可以控制的。 展开更多
关键词 离心泵 分离参考点 两相流边界层分析 对比试验
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考虑局部非热平衡的流体层流横掠多孔介质中等温平板的边界层分析 被引量:1
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作者 李菊香 涂善东 《华东理工大学学报(自然科学版)》 CAS CSCD 北大核心 2009年第3期481-485,共5页
在考虑流体和多孔介质之间瞬时局部非热平衡的前提下,对流体强迫层流横掠多孔介质中等温平板的二维流动应用Brinkman-Forchheime-extended Darcy模型建立守恒方程组。对方程组进行数量级分析简化,应用积分法进行近似计算,得出了速度边... 在考虑流体和多孔介质之间瞬时局部非热平衡的前提下,对流体强迫层流横掠多孔介质中等温平板的二维流动应用Brinkman-Forchheime-extended Darcy模型建立守恒方程组。对方程组进行数量级分析简化,应用积分法进行近似计算,得出了速度边界层厚度、热边界层厚度、壁面黏性摩擦系数和对流传热系数的计算公式。结果表明:在多孔介质中沿平板的速度边界层厚度与光板时明显不同,在平板前端迅速增长,随后逐渐变得平坦,趋于一个恒定值;而热边界层厚度则与光板时类似。 展开更多
关键词 多孔介质 强迫层流横掠平板 瞬时局部非热平衡 边界层分析
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流体层流横掠多孔介质中等温平板的边界层分析 被引量:3
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作者 王景灏 李菊香 《大庆石油学院学报》 CAS 北大核心 2009年第1期68-71,共4页
基于Brinkman—Forchheime—Extended Darcy流动模型和流体与多孔介质之间瞬时局部非热平衡的传热理论,对流体层流横掠多孔介质中等温平板的强制对流传热进行边界层分析.对建立的控制方程组应用数量级比较的方法加以简化,采用积分法求... 基于Brinkman—Forchheime—Extended Darcy流动模型和流体与多孔介质之间瞬时局部非热平衡的传热理论,对流体层流横掠多孔介质中等温平板的强制对流传热进行边界层分析.对建立的控制方程组应用数量级比较的方法加以简化,采用积分法求解动量积分方程和能量积分方程,得出边界层内的速度分布、温度分布、速度边界层厚度和温度边界层厚度、壁面上的摩擦系数和对流换热系数的表达式. 展开更多
关键词 多孔介质 强迫层流横掠平板 局部非热平衡 边界层分析
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恒热流边界条件下流体横掠多孔介质中平板的边界层分析
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作者 施玉 李菊香 《低温与超导》 CAS CSCD 北大核心 2009年第7期55-58,共4页
基于Brinkman-Forchheimer-extended Darcy流动模型,对恒热流条件下流体横掠多孔介质中平板的强制对流进行了边界层分析。通过建立二维流动的连续方程、动量方程和考虑流体与多孔介质局部非热平衡时的能量方程,应用数量级分析和积分的... 基于Brinkman-Forchheimer-extended Darcy流动模型,对恒热流条件下流体横掠多孔介质中平板的强制对流进行了边界层分析。通过建立二维流动的连续方程、动量方程和考虑流体与多孔介质局部非热平衡时的能量方程,应用数量级分析和积分的方法对方程组进行简化和求解,得出了流体的速度分布、温度分布、速度边界层和温度边界层的厚度、对流传热的理论关联式。研究结果表明:恒热流条件下流体横掠多孔介质中平板的速度边界层与光板时完全不同,其在平板前端迅速增长,随后沿着流动方向变得非常平坦并趋于一定值;而温度边界层的厚度发展则与光板时类似,沿着流动方向不断增长,且与壁面处热流密度的大小无关。 展开更多
关键词 多孔介质 局部非热平衡 边界层分析
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考虑局部非热平衡的流体层流横掠多孔介质中恒热流平板的传热分析 被引量:17
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作者 李菊香 涂善东 《化工学报》 EI CAS CSCD 北大核心 2010年第1期10-14,共5页
对流体层流横掠多孔介质中恒热流加热的平板,应用Brinkman-Forchheime-extended Darcy流动模型和流体与多孔介质之间局部非热平衡理论建立守恒方程组,应用数量级分析和积分法,得出了速度边界层厚度、热边界层厚度、壁面黏性摩擦系数和... 对流体层流横掠多孔介质中恒热流加热的平板,应用Brinkman-Forchheime-extended Darcy流动模型和流体与多孔介质之间局部非热平衡理论建立守恒方程组,应用数量级分析和积分法,得出了速度边界层厚度、热边界层厚度、壁面黏性摩擦系数和对流传热系数、流体与多孔介质之间局部温差的计算公式。结果表明,速度边界层与光板时明显不同,其在平板前端迅速增长,之后越来越平坦,趋于一个恒定值;而热边界层则沿着流动方向不断增长,类似于光板时的情况;局部的表面对流传热系数在平板前端达最大值,之后逐渐减小,也类似于光板时的情况;多孔介质与流体间的局部温差在平板前端达最大值,之后呈现沿着流动方向逐渐减小的变化趋势。 展开更多
关键词 多孔介质 层流横掠平板 局部非热平衡 边界层分析
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防冰表面的对流换热计算分析 被引量:4
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作者 宋馨 林贵平 卜雪琴 《北京航空航天大学学报》 EI CAS CSCD 北大核心 2011年第1期49-53,共5页
利用动量和热边界层积分分析的方法对采用电热防冰的二维机翼对流换热系数进行了数值计算,比较了等温突捩以及变温光滑两种不同的边界层模型.层流向湍流转捩的起始点位置和过渡区域的长度由经验公式判断,并通过内外热流耦合迭代求解得... 利用动量和热边界层积分分析的方法对采用电热防冰的二维机翼对流换热系数进行了数值计算,比较了等温突捩以及变温光滑两种不同的边界层模型.层流向湍流转捩的起始点位置和过渡区域的长度由经验公式判断,并通过内外热流耦合迭代求解得到了防冰表面的平衡温度,与文献试验值进行了比较.所得结果表明:加入过渡区模型可较好地预测对流换热系数及防冰表面温度.同时,结果还表明环境压力变化对换热系数的的影响较大. 展开更多
关键词 边界层积分分析 对流换热系数 表面温度
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耦合动力学方程的非线性特征值渐近求解
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作者 侯磊 张家健 仇璘 《华东师范大学学报(自然科学版)》 CAS CSCD 北大核心 2010年第3期99-112,共14页
介绍由约束场和受重力影响的对流扰动耦合而成的衰减平衡向量场动力学方程的特征值渐近求解.通过引进新的参数,将一个复杂的三维约束耦合动力学特征方程转化成复空间里一维的边界层问题.通过进一步分析计算非线性特征值问题并做了渐近... 介绍由约束场和受重力影响的对流扰动耦合而成的衰减平衡向量场动力学方程的特征值渐近求解.通过引进新的参数,将一个复杂的三维约束耦合动力学特征方程转化成复空间里一维的边界层问题.通过进一步分析计算非线性特征值问题并做了渐近摄动分析,最后给出多场耦合中扰动问题的特征值边界层解法. 展开更多
关键词 边界层分析 渐近摄动 非线性特征值
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迁移方程的扩散近似的收敛性(英文)
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作者 王胜华 郭柏灵 《应用泛函分析学报》 CSCD 2005年第4期317-323,共7页
导出了迁移方程的扩散近似方程,说明了它的离散纵标方法在区间内和边界上都有扩散极限,它的解关于一致地收敛于迁移方程的解.其收敛性的证明是依据其渐近扩散展开式,在边界层上得到的误差估计逼近其离散纵标方法的解.
关键词 迁移方程 扩散近似 离散纵标方法 边界层分析 误差估计
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Gustiness and coherent structure under weak wind period in atmospheric boundary layer 被引量:2
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作者 Li Qi-Long Cheng Xue-Ling Zeng Qing-Cun 《Atmospheric and Oceanic Science Letters》 CSCD 2016年第1期52-59,共8页
Statistical analysis of turbulent and gusty characteristics in the atmospheric boundary layer under weak wind period has been carried out.The data used in the analysis were from the multilevel ultrasonic anemometer-th... Statistical analysis of turbulent and gusty characteristics in the atmospheric boundary layer under weak wind period has been carried out.The data used in the analysis were from the multilevel ultrasonic anemometer-thermometers at 47 m,120 m,and 280 m levels on Beijing 325 m meteorological tower.The time series of 3D atmospheric velocity were analyzed by using conventional Fourier spectral analysis and decompose into three parts:basic mean flow(period > 10 min),gusty disturbances(1 min < period < 10 min)and turbulence fluctuations(period < 1 min).The results show that under weak mean wind condition:1)the gusty disturbances are the most strong fluctuations,contribute about 60% kinetic energy of eddy kinetic energy and 80% downward flux of momentum,although both the eddy kinetic energy and momentum transport are small in comparison with those in strong mean wind condition;2)the gusty wind disturbances are anisotropic;3)the gusty wind disturbances have obviously coherent structure,and their horizontal and vertical component are negatively correlated and make downward transport of momentum more effectively;4)the friction velocities related to turbulence and gusty wind are approximately constant with height in the surface layer. 展开更多
关键词 Atmospheric boundary layer gusty wind coherent structure weak wind downward flux of momentum
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A refinement of scaling laws in wall turbulence
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作者 张珂 《Journal of Chongqing University》 CAS 2009年第3期195-200,共6页
As a universal conclusion of turbulent scale, scaling laws are important to the research on statistic turbulence. We measured two-dimensional instantaneous velocity field in turbulent boundary layers of flat plate wit... As a universal conclusion of turbulent scale, scaling laws are important to the research on statistic turbulence. We measured two-dimensional instantaneous velocity field in turbulent boundary layers of flat plate with the momentum thickness Reynolds number Reθ=2 167. Scaling laws have different forms in different wall distance and scale. We proposed an expected scaling law and compared it with the She-Leveque (SL) scaling law based on the wavelet analysis and traditional statistical methods. Results show that the closer to the wall, the more the expected scaling law approached to the SL scaling law. 展开更多
关键词 turbulent boundary layer probability density function particle image velocimetry scaling laws
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Vertical distributions of VOCs in the Tibetan Plateau background region
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作者 Xuanxuan Xue Fugeng Zha +8 位作者 Yinghong Wang Yang Zhang Yu Wang Ying Shen Yanyu Kang Dan Yao Guiqian Tang Jianchun Bian Yuesi Wang 《Atmospheric and Oceanic Science Letters》 2024年第6期33-38,共6页
Exploring the vertical variation in volatile organic compounds(VOCs)in background regions can provide infor-mation on the spatial distribution of pollutants,providing a scientific basis for atmospheric pollution preve... Exploring the vertical variation in volatile organic compounds(VOCs)in background regions can provide infor-mation on the spatial distribution of pollutants,providing a scientific basis for atmospheric pollution prevention and control strategies.From 15 August to 5 September 2023,at the Southeast Tibet Mountain Comprehensive Environmental Observation Station(SETS),a tethered balloon was used to sample VOCs every 100 m from the ground to 1000 m.A total of 403 air bag samples were collected,and 39 vertical profiles of VOCs were obtained.Ninety-two VOC species were detected.The VOC concentration at the SETS did not change significantly verti-cally,and the average VOC concentration was 11.1±2.4 ppbv.The main components were alkanes(51.4%),alkenes(18.7%),and halohydrocarbons(18.1%).There was no obvious diurnal change in VOCs and no signif-icant difference between the different layers.When the surface VOC concentration was less than 10 ppbv,the concentrations,components,and sources of VOCs were evenly distributed vertically,and the main sources of VOCs at different heights were vehicle exhaust and background.When the surface VOC concentration exceeded 10 ppbv,the VOC concentration gradually decreased with height.The proportion of alkanes in surface VOCs in-creased,and the source was mainly vehicle exhaust.This study confirmed that VOCs are vertically homogeneous in the background of the Tibetan Plateau,emphasizing the importance of vehicle emissions as a potential source of VOCs. 展开更多
关键词 VOCs Vertical distributions Boundary layer Source apportionment
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应变梯度弹性理论C^1自然单元法 被引量:2
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作者 聂志峰 周慎杰 +1 位作者 王凯 孔胜利 《山东大学学报(工学版)》 CAS 北大核心 2009年第3期99-102,共4页
将Sibson插值作为三次单纯形Bernstein-Bézier多项式的自然邻近坐标,得到C1连续插值函数.将C1连续插值函数应用于应变梯度弹性理论.由于该函数对结点函数值和梯度值具有插值特性,应变梯度理论C1自然单元法可以直接施加本质边界条件... 将Sibson插值作为三次单纯形Bernstein-Bézier多项式的自然邻近坐标,得到C1连续插值函数.将C1连续插值函数应用于应变梯度弹性理论.由于该函数对结点函数值和梯度值具有插值特性,应变梯度理论C1自然单元法可以直接施加本质边界条件.数值算例分析了双材料系统界面边界层问题和中心圆孔无限大板双轴拉伸问题,数值解与理论解吻合得较好,表明C1自然单元法能够用来分析应变梯度弹性理论问题. 展开更多
关键词 Bernstein-Bezier多项式 C^1 自然邻近插值 应变梯度理论 边界层分析 双轴拉伸问题
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An Analysis of the Characteristics of the Thermal Boundary Layer in Power Law Fluid 被引量:2
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作者 Hao ZHANG Xinxin ZHANG Liancun ZHENG 《Journal of Thermal Science》 SCIE EI CAS CSCD 2008年第3期233-237,共5页
This paper presents a theoretical analysis of the heat transfer for the boundary layer flow on a continuous moving surface in power law fluid. The expressions of the thermal boundary layer thickness with the different... This paper presents a theoretical analysis of the heat transfer for the boundary layer flow on a continuous moving surface in power law fluid. The expressions of the thermal boundary layer thickness with the different heat conductivity coefficients are obtained according to the theory of the dimensional analysis of fluid dynamics and heat transfer. And the numerical results of CFD agree well with the proposed expressions. The estimate formulas can be successfully applied to giving the thermal boundary layer thickness. 展开更多
关键词 Thermal boundary layer Power law fluid Dimensional analysis Numerical solutions
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Interaction between the atmospheric boundary layer and a standalone wind turbine in Gansu—Part II: Numerical analysis 被引量:9
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作者 Zhi Zheng ZhiTeng Gao +4 位作者 DeShun Li RenNian Li Ye Li QiuHao Hu WenRui Hu 《Science China(Physics,Mechanics & Astronomy)》 SCIE EI CAS CSCD 2018年第9期59-68,共10页
To analyze the interaction between wind turbines and the atmospheric boundary layer, we integrated a large-eddy simulation with an actuator line model and examined the characteristics of wind-turbine loads and wakes w... To analyze the interaction between wind turbines and the atmospheric boundary layer, we integrated a large-eddy simulation with an actuator line model and examined the characteristics of wind-turbine loads and wakes with reference to a corresponding experiment in Gansu. In the simulation, we set the wind turbine to have a rotor diameter of 14.8 m and a tower height of 15.4 m in the center of an atmospheric boundary layer with a 10.6° yaw angle. The results reveal an obviously skewed wake structure behind the rotor due to the thrust component normal to the flow direction. The power spectra of the inflow fluctuation velocity exhibit a region of-5/3 slope, which confirms the ability of large-eddy simulations to reproduce the energy cascade from larger to smaller scales. We found there to be more energy in the power spectrum of the axial velocity, which shows that coherent turbulence structures have more energy in the horizontal direction. By the conjoint analysis of atmospheric turbulence and windturbine loads, we found that when the inflow wind direction changes rapidly, the turbulence kinetic energy and coherent turbulence kinetic energy in the atmospheric turbulence increase, which in turn causes fluctuations in the wind turbine load.Furthermore, anisotropic atmospheric turbulence causes an asymmetric load cycle, which imposes a strike by the turbine blade on the shaft, thereby increasing the fatigue load on the shaft. Our main conclusion is that the atmospheric boundary layer has a strong effect on the evolution of the wake and the structural response of the turbine. 展开更多
关键词 wind power atmospheric turbulence effects finite volume methods large-eddy simulations
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Numerical Study of Thermal Boundary Layer on a Continuous Moving Surface in Power Law Fluids 被引量:3
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作者 Hao ZHANG Xinxin ZHANG Liancun ZHENG 《Journal of Thermal Science》 SCIE EI CAS CSCD 2007年第3期243-247,共5页
This paper investigates flow and heat transfer of power law fluids on a continuous moving surface. The temperature distribution is obtained numerically by considering the effect of the power law viscosity on thermal d... This paper investigates flow and heat transfer of power law fluids on a continuous moving surface. The temperature distribution is obtained numerically by considering the effect of the power law viscosity on thermal diffusivity and the characteristics of the flow and heat transfer are analyzed. The results show that the distribution of the thermal boundary layer depends not only on the velocity ratio parameter of the plate, but also on the power law index and Prandtl number of fluids. 展开更多
关键词 Power law fluid thermal boundary layer dimensionless transformation numerical solutions
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Segmentation and focus-point location based on boundary analysis in forest canopy hemispherical photography 被引量:1
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作者 Jia-yin SONG Wen-long SONG +1 位作者 Jian-ping HUANG Liang-kuan ZHU 《Frontiers of Information Technology & Electronic Engineering》 SCIE EI CSCD 2016年第8期741-749,共9页
Analysis of forest canopy hemisphere images is one of the most important methods for measuring forest canopy structure parameters. In this study, our main focus was on using circular image region segmentation, which i... Analysis of forest canopy hemisphere images is one of the most important methods for measuring forest canopy structure parameters. In this study, our main focus was on using circular image region segmentation, which is the basis of forest canopy hemispherical photography. The boundary of a forest canopy hemisphere image was analyzed via histogram, rectangle, and Fourier descriptors. The image boundary characteristics were defined and obtained based on the following:(1) an edge model that contains three parts, i.e., step, ramp, and roof;(2) boundary points of discontinuity;(3) an edge that has a linear distribution of scattering points. On this basis, we proposed a segmentation method for the circular region in a forest canopy hemisphere image, fitting the circular boundary and computing the center and radius by the least squares method. The method was unrelated to the parameters of the image acquisition device. Hence, this study lays a foundation for automatically adjusting the parameters of high-performance image acquisition devices used in forest canopy hemispherical photography. 展开更多
关键词 Fisheye lens Least squares method Image segmentation Ecology in image processing Hemispherical photography
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Flow-Field Analysis of Anti-Kidney Vortex Film Cooling 被引量:1
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作者 Lars Grf Leonhard Kleiser 《Journal of Thermal Science》 SCIE EI CAS CSCD 2012年第1期66-76,共11页
Film cooling is an important measure to enable an increase of the inlet temperature of a gas turbine and, thereby, to improve its overall efficiency. The coolant is ejected through spanwise rows of holes in the blades... Film cooling is an important measure to enable an increase of the inlet temperature of a gas turbine and, thereby, to improve its overall efficiency. The coolant is ejected through spanwise rows of holes in the blades or endwalls to build up a film shielding the material. The holes often are inclined in the downstream direction and give rise to a kidney vortex. This is a counter-rotating vortex pair, with an upward flow direction between the two vortices, which tends to lift off the surface and to locally feed hot air towards the blade outside the pair. Reversing the rotational sense of the vortices reverses these two drawbacks into advantages. In the considered case, an anti-kidney vortex is generated using two subsequent rows of holes both inclined downstream and yawed spanwise with alternating angles. In a previous study, we performed large-eddy simulations (which focused on the fully turbulent boundary layer) of this anti-kidney vortex film-cooling and compared them to a corresponding physical experiment. The present work analyzes the simulated flow field in detail, beginning in the plenum (inside the blade or endwall) through the holes up to the mixture with the hot boundary layer. To identify the vortical structures found in the mean flow and in the instantaneous flow, we mostly use the λ 2 criterion and the line integral convolution (LIC) technique indicating sectional streamlines. The flow regions (coolant plenum, holes, and boundary layer) are studied subsequently and linked to each other. To track the anti-kidney vortex throughout the boundary layer, we propose two criteria which are based on vorticity and on LIC results. This enables us to associate the jet vortices with the cooling effectiveness at the wall, which is the key feature of film cooling. 展开更多
关键词 Film cooling anti-kidney vortex vortex identification trajectory tracking large-eddy simulation LES compound angle double row kidney vortex jet in cross-flow.
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Group Theory Analysis of Free Convective BoundaryLayer Behavior at a Stretching Surface
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作者 Junmei Shi Xuezi Xu +1 位作者 Jianren Fan Kefa Cen (Department of Energy Engineering, +Department of Mechanics, Zhejiang University, Hangzhou, 310027,China) 《Journal of Thermal Science》 SCIE EI CAS CSCD 1995年第4期229-235,共7页
In the Present study, free convection and heat transfer behavior of electrically conducting fluid in the boundary layer over a vertical continuously stretching surface is investigated. The effects of free convection, ... In the Present study, free convection and heat transfer behavior of electrically conducting fluid in the boundary layer over a vertical continuously stretching surface is investigated. The effects of free convection, magnetic field, suction/blowing at the surface and the stretching speed of the surface on the flow and heat transfer characteristics are considered. By applying one-parametric group theory to analysis of the problem, a similarity solution is found. The governing equations of continuity, momentum and energy are solved numerically by a fourth-order Runge-Kutta scheme. The numerical results, which are obtained for the flow and heat transfer characteristics, reveal the influences of the parameters. 展开更多
关键词 group theory stretching surface free convection.
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Transition Modelling Implications in the CFD Analysis of a Turbine Nozzle Vane Cascade Tested Over a Range of Mach and Reynolds Numbers 被引量:1
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作者 Michele Marconcini Roberto Pacciani Andrea Arnone 《Journal of Thermal Science》 SCIE EI CAS CSCD 2015年第6期526-534,共9页
The aerodynamic performance of a gas turbine nozzle vane cascade was investigated over a range of Mach and Reynolds numbers.The work is part of a vast research project aimed at the analysis of fluid dynamics and heat ... The aerodynamic performance of a gas turbine nozzle vane cascade was investigated over a range of Mach and Reynolds numbers.The work is part of a vast research project aimed at the analysis of fluid dynamics and heat transfer phenomena in cooled blades.In this paper computed results on the"solid vane"(without cooling devices)are presented and discussed in comparison with experimental data.Detailed measurements were provided by the University of Bergamo where the experimental campaign was carried out by means of a subsonic wind tunnel.The impact of boundary layer transition is investigated by using a novel laminar kinetic energy transport model and the widely used Langtry-Menterγ-Reθ,t model.The comparison between calculations and measurements is presented in terms of blade loading distributions,total pressure loss coefficient contours downstream of the cascade,and velocity/turbulence-intensity profiles within the boundary layer at selected blade surface locations at mid-span.It will be shown how transitional calculations compare favorably with experiments. 展开更多
关键词 Gas turbine CFD validation transition model secondary flows
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Power Law or Logarithmic Law ?── A Data Analysis for Zero Pressure Gradient Turbulent Boundary Layers with Low Re _(δ2)
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作者 Matthias Buschmann 《Journal of Thermal Science》 SCIE EI CAS CSCD 2000年第1期23-29,共7页
The paper Presents an analysis of two-dimensional zero pressure gradient (ZPG) turbulent boundary layers (TBL) with regard to the application of Power laws. Only TBL with low Reynolds number 300 < Reδ2 < 6200 a... The paper Presents an analysis of two-dimensional zero pressure gradient (ZPG) turbulent boundary layers (TBL) with regard to the application of Power laws. Only TBL with low Reynolds number 300 < Reδ2 < 6200 are taken into account. It is found that a certain region of the mean velocity profile can be described with a power law of the form u+ = Cpow * y+α This Power law region is not a Priori identical with the overlap region. An algorithm for the determination of the wall skin friction using the power law is proposed. The method was applied with good result to ZPG TBL and to adverse pressure gradient (APG) TBL. To bridge the gap between the wall and the power law region an approach for the turbulent viscosity is suggested. 展开更多
关键词 power law turbulent boundary layer scaling analysis fluid mechanics
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