Abo Bibliothek: Guest
Second Symposium on Turbulence and Shear Flow Phenomena
June, 27-29, 2001, KTH, Stockholm, Sweden

DOI: 10.1615/TSFP2

NONUNIFORM STRETCHED WEIGHT IN LINE STATISTICS OF TURBULENCE

pages 263-268
DOI: 10.1615/TSFP2.2070
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ABSTRAKT

Statistics of passive material lines in homogeneous isotropic turbulence are investigated by the use of direct numerical simulations. Passive material lines are stretched locally by the Kolmogorov-scale vortices, and their total length increases exponentially in time with the stretching rate of 0.17 (Kolmogorov time)−1 at the Taylor-micro-scale Reynolds numbers of 56 and 84. It is shown theoretically and numerically that the commonly used simple arithmetic mean of stretching rates of many infinitesimal line elements underestimates the real stretching rate of passive material lines owning to nonuniform stretching along the lines.

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