KAGAKU KOGAKU RONBUNSHU
Online ISSN : 1349-9203
Print ISSN : 0386-216X
ISSN-L : 0386-216X
A Reynolds Stress in a Two-Dimensional Turbulent Homogeneous Shear Flow
Masaki MinemotoMasayoshi SadakataDaizo Kunii
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1976 Volume 2 Issue 4 Pages 373-379

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Abstract

It is well known that Reynolds stresses which are expressed as double correlations of velocity fluctuations are the main controlling factors of momentum-transfer rates in a turbulent field. A universally applicable Reynolds stress model is required in order to describe the flow pattern in a turbulent flow. This study is aimed at making clear the applicability and universality of conventional phenomenological Reynolds stress models.
A two-dimensional turbulence in homogeneous shear flow (Couette flow) being chosen as the simplest turbulent shear flow field, effects of turbulent eddy scales and time-mean velocity gradient on a Reynolds stress were investigated analytically and experimentally. Two conventional representative Reynolds stress models, namely a Kolmogoroff-type model and Bradshaw-type model, were compared with experimental results. The following conclusions were obtained.
i) Where the velocity-gradient of time-mean flow is extremely smaller than that of turbulent eddy, the Kolmogoroff-type model is applicable.
ii) Where the velocity-gradient of time-mean flow approaches that of turbulent eddy, both the Kolmogoroff-type model and the Bradshaw-type model are applicable.

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© by THE SOCIETY OF CHEMICAL ENGINEERS, JAPAN
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