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- W2023697261 abstract "In isotropic ‘box’ turbulence without a mean flow, the Lagrangian frequency spectrum extends to frequencies of order $(epsilon/nu)^{frac{1}{2}}$ (ε is the rate of dissipation of kinetic energy per unit mass and ν is the kinematic viscosity of the fluid). This leads to an estimate that makes the r.m.s. value of du/dt of order $(epsilon^3/nu)^{frac{1}{4}}$ . The Eulerian frequency spectrum, however, extends to higher frequencies than its Lagrangian counterpart; this is caused by spectral broadening associated with large-scale advection of dissipative eddies. As a consequence, the r.m.s. value of ∂ u /∂ t at a fixed observation point is (apart from a numerical factor) $R_{lambda}^{frac{1}{2}}$ times as large as the r.m.s. value of du / dt ( R Λ is the turbulence Reynolds number based on the Taylor microscale). The results of a theoretical analysis based on these premises agree with data obtained by Comte-Bellot, Shlien and Corrsin. The analysis also suggests that the Eulerian frequency spectrum has a $omega^{-frac{5}{3}} $ behaviour in the inertial subrange, and that it is not governed by Kolmogorov similarity." @default.
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- W2023697261 date "1975-02-11" @default.
- W2023697261 modified "2023-10-16" @default.
- W2023697261 title "Eulerian and Lagrangian time microscales in isotropic turbulence" @default.
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- W2023697261 doi "https://doi.org/10.1017/s0022112075000468" @default.
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