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Small Scale Turbulence and Gradient Statistics: Current Trends and Future Prospects

Join us at the .EUROMECH Colloquium 512 to explore the evolution of turbulence theories, from Kolmogorov to modern frameworks like Karman-Howarth. Dive into the issues of non-universality and scalar fluctuations, and discuss potential improvements in measurements and corrections using local axisymmetry. Explore the interplay between velocity and passive scalar spectra in a variety of Reynolds numbers.

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Small Scale Turbulence and Gradient Statistics: Current Trends and Future Prospects

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  1. EUROMECH Colloquium 512Small Scale Turbulence and Related Gradient Statistics Round Table 1 Objectives of this meeting • Establish possible concensus of the ‘new and post- Kolmogorov ideas • asymptotic nature of Kolmogorov (1941), Oboukhov(1949), Yaglom(1949) • versus more realistic (but more difficult to handle) framework of Karman- Howarth (1936) • recognition of effects of forcing / large-scale inhomogeneities on small scales • ----> non-universality ? • Particular attention to the wavenumber transfer • and dissipation rate of the scalar variance • ------> unexpected behaviour of the small scale scalar fluctuations …? • Difficulties on the measurement front ? • Can we expect significant improvements re corrections ? • e.g. use local axisymmetry instead of local isotropy ?

  2. Velocity vs. scalar (Sc1) Au Aθ Rλ

  3. Passive scalar spectrum in moderate Reynolds number homogeneous isotropic turbulence L. Danaila & R.A. Antonia with ??? HIT with scalar: mandoline and scalar gradient Scenario:

  4. For Pr=1 Batchelor 1959 For large Reynolds: then For moderate Reynolds: Mydlarski & Warhaft 1998

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