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Lagrangian measurement of fluid-particle motion in an isotropic turbulent field

Published online by Cambridge University Press:  21 April 2006

Yukinari Sato
Affiliation:
Department of Chemical Engineering, Yokohama National University, Yokohama 240. Japan Present address: R & D division, Nihon Kagaku Kogyo Co. Ltd, 2–1, Shimizu, Suita, Osaka 565, Japan.
Kazuo Yamamoto
Affiliation:
Department of Chemical Engineering, Yokohama National University, Yokohama 240. Japan Present address: 719, Shin-maruko, Nakahara-ku, Kawasaki 211, Japan.

Abstract

By means of an optical tracer-particle tracking method, measurements for Lagrangian characteristics of turbulence, including the mean-square value of lateral diffusion from a point source $\overline{Y^2}$, the r.m.s. value of fluctuating velocity v′, the velocity autocorrelation coefficient RL(τ), and the integral scale ΛL, were made in approximately isotropic turbulent flow behind a grid. Comparison of these Lagrangian data with the Eulerian integral scale Λf and the double velocity correlation coefficient f(r) led to the following results: (i) for a moderate turbulent Reynolds-number range of Reλ = 20 − 70, the ratio β(= ΛLf) is within the values of 0.6 – 0.3, becoming lower as Reλ increases, and (ii) the distribution of RL against time lag τ is analogous to that of f against βr/v′. Further, it was confirmed by both theoretical analysis and experiments that the growth of $\overline{Y^2}(t)$ was weakened by the decay of turbulent energy, particularly so for long diffusion times.

Type
Research Article
Copyright
© 1987 Cambridge University Press

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