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      Particle tracking velocimetry in three-dimensional flows : Part II: Particle tracking

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      Experiments in Fluids
      Springer Nature

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          Particle-Imaging Techniques for Experimental Fluid Mechanics

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            Lagrangian statistics from direct numerical simulations of isotropic turbulence

            A comprehensive study is reported of the Lagrangian statistics of velocity, acceleration, dissipation and related quantities, in isotropic turbulence. High-resolution direct numerical simulations are performed on 64 3 and 128 3 grids, resulting in Taylor-scale Reynolds numbers R λ in the range 38-93. The low-wavenumber modes of the velocity field are forced so that the turbulence is statistically stationary. Using an accurate numerical scheme, of order 4000 fluid particles are tracked through the computed flow field, and hence time series of Lagrangian velocity and velocity gradients are obtained. The results reported include: velocity and acceleration autocorrelations and spectra; probability density functions (p.d.f.'s) and moments of Lagrangian velocity increments; and p.d.f.'s, correlation functions and spectra of dissipation and other velocity-gradient invariants. It is found that the acceleration variance (normalized by the Kolmogorov scales) increases as R ½ λ - a much stronger dependence than predicted by the refined Kolmogorov hypotheses. At small time lags, the Lagrangian velocity increments are distinctly non-Gaussian with, for example, flatness factors in excess of 10. The enstrophy (vorticity squared) is found to be more intermittent than dissipation, having a standard-deviation-to-mean ratio of about 1.5 (compared to 1.0 for dissipation). The acceleration vector rotates on a timescale about twice the Kolmogorov scale, while the timescales of acceleration magnitude, dissipation and enstrophy appear to scale with the Lagrangian velocity timescale.
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              Simplifying chemical kinetics: Intrinsic low-dimensional manifolds in composition space

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                Author and article information

                Journal
                Experiments in Fluids
                Experiments in Fluids
                Springer Nature
                0723-4864
                1432-1114
                September 1993
                September 1993
                : 15-15
                : 4-5
                : 279-294
                Article
                10.1007/BF00223406
                1ce67e91-eeff-4caf-8886-c85874bc12b1
                © 1993

                http://www.springer.com/tdm

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