Analysis based on KL expansion and the Differential Geomer Universal Velocity Scaling in Wall Bounded Shear Flow

壁面边界剪切流中基于KL展开和微分几何万向速度缩放的分析

• 批准号: 10650167
• 负责人: TSUJI Yoshiyuki
• 金额: $ 2.3万
• 依托单位: Nagoya University
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for Scientific Research (C)
• 财政年份: 1998
• 资助国家: 日本
• 起止时间: 1998 至 1999
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-10650167/
• 关键词: wall turbulence; universal velocity profile; probability density function; differential geometry; orthogonal decomposition

The logarithmic velocity profile is considered in zero-pressure gradient smooth and rough wall turbulent boundary layer. We propose a new definition of the log-law region using the probability profiles of the streamwise velocity fluctuation. The log-law profile is extracted readly from the experimental data and as well as the probability density fuction (PDF) equation. The measure called Kullback Leibler divergence is applied for distinguishing the probability profile. If the logarithmin profile ; UィイD1+ィエD1 = A log y ィイD1+ィエD1 + B is a good representation of the experimental data, our results show that A is independent of the Reynolds number while B depends on it. The ratio of boundary layer thickness δto the upper end of log-law extent, δィイD2LィエD2, is not constant but approaches the value δィイD2LィエD2/δ = 0.2 as the Reynolds number increases. Although this condition is not satisfied in rough wall boundary layers.

在零压梯度光滑和粗糙壁湍流边界层中考虑了对数速度分布。我们提出了一个新的定义的对数律区域使用的概率分布的流向速度波动。从实验数据和概率密度函数（PDF）方程中提取出对数律分布。称为Kullback Leibler散度的措施被应用于区分概率分布。如果是最小值曲线;结果表明，A与雷诺数无关，而B与雷诺数有关，边界层厚度δ与对数律范围上限的比值δ_（1/2）L_（1/2）不是常数，而是随着雷诺数的增加而趋于δ_（1/2）L_（1/2）= 0.2。虽然在粗糙壁边界层中不满足这个条件。

项目成果

Yoshiyuki Tsuji & Brindesh Dith: "ON the Intermittency Feature of Sheanstress・・・・・・・"Physics of Fluids A. 11. 3017-3025 (1999)

Yoshiyuki Tsuji 和 Brindesh Dith：“关于 Sheanstress 的间歇性特征……”流体物理学 A. 11. 3017-3025 (1999)

Yoshiyuki Tsuji: "On the Inermittency Feature of Shear Stress Fluctuation…"Physics of Fluids. 11. 3017-3025 (1999)

Yoshiyuki Tsuji：“关于剪切应力波动的惰性特征……”流体物理学。11. 3017-3025 (1999)

Yoshiyuki Tsuji & Iuko NAKAHULA: "Probability Density Function in Log-law Region・・・・・"Physics of Fluids A. 11. 647-658 (1999)

Yoshiyuki Tsuji 和 Iuko NAKAHULA：“对数律区域中的概率密度函数...”流体物理学 A. 11. 647-658 (1999)

Y.Tsuji and B.Dhruva: "On the intermitlency feature of Shear Stress fluctuation in turbulence" J.Physical Society of Japan. 67・4. 1234-1242 (1998)

Y.Tsuji 和 B.Dhruva：“论湍流中剪切应力波动的间歇性特征”J.日本物理学会 67・4（1998）。

Y.Tsuji and I.Nakamura: "Small-scale similarity representation in turbulent velocity signal" “ASME/JSME Fluid Engineering Conference". (発表予定). (1999)

Y.Tsuji 和 I.Nakamura：“湍流速度信号中的小尺度相似性表示”“ASME/JSME 流体工程会议”（即将发表）。