Abstract
The hierarchy of equations for turbulent probability distribution functions is closed by relating the three point distribution function to lower order distribution functions. The theory is applied to isotropic, homogeneous turbulence at large wave number giving a nonlinear integral equation for the correlation function at small separation. The Kolmogorov spectrum is found in the inertial range and the Kolmogorov constant is determined.
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© 1972 Springer-Verlag
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Lundgren, T.S. (1972). A closure hypothesis for the hierarchy of equations for turbulent probability distribution functions. In: Rosenblatt, M., Van Atta, C. (eds) Statistical Models and Turbulence. Lecture Notes in Physics, vol 12. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-05716-1_5
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DOI: https://doi.org/10.1007/3-540-05716-1_5
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