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Turbulence and Shear Flow Phenomena -1 First International Symposium

ISBN:
1-56700-135-1 (Print)

REYNOLDS NUMBER DEPENDENCE AND INVARIANT ASSUMPTION IN TURBULENT BOUNDARY LAYER

Ikuo Nakamura
Department of Mechanical Engineering, Meijyo University, Tempaku-ku, Nagoya City, Aichi, Japan, 464-8502

Kei Miyachi
Department of Energy Engineering and Science, Nagoya University Chikusa-ku Furo-cho, Nagoya City, Aichi, Japan, 464-8603

Takehiro Kushida
Department of Mechanical Engineering, Nagoya University, Chikusa-ku, Furo-cho, Nagoya, 464-8603, JAPAN

Yoshiyuki Tsuji
KTH Mechanics, Royal Institute of Technology, 100 44 Stockholm, Sweden; Department of Energy Science and Engineering, Nagoya University, Furo-cho, Chikusa-ku, Nagoya 464-8503, Japan

Abstract

The logarithmic velocity region is considered in zero-pressure-gradient turbulent boundary layers. We propose a new definition of log-law region with using the probability profiles of stream wise velocity fluctuation. The measure called Kullback Leibler divergence is applied to distinguishing the probability profiles. The ratio of boundary layer thickness, δ, and the upper end of logarithmic region, δL, is investigated, and also the Reynolds number dependence of pdf profile is mentioned.