Physical review. A, General physics · 1988 · 61 citations · 9 references
Natural SciencesPhysicsFluid DynamicsOpticsSpectroscopyOptical FlowTurbulenceTurbulent FlowTurbulent TransportLight IntensityPhoton Correlation FunctionsReynolds NumberReynolds Number EffectsTurbulence MeasurementTurbulence StatisticsTurbulent Pipe FlowTurbulent Transition
The technique of photon-correlation spectroscopy was exploited to study turbulent pipe flow behind a grid. We measure the correlation function g(t) of the light intensity scattered by small particles suspended in the turbulent fluid. The results imply that the probability distribution function for the small relative velocity fluctuations in the turbulent grid flow is Lorentzian-like. The statistical properties of the small velocity fluctuations over varying length scales possess a self-similar feature. This self-similarity was seen only when the Reynolds number becomes larger than a specific value ${\mathrm{scrR}}_{c}$. All the measurements suggest that the flow changes its character at this point.
9
High-order velocity structure functions in turbulent shear flows
Fabien Anselmet, Y. Gagne, E. J. Hopfinger et al. · Journal of Fluid Mechanics · 1984 · 1.1K citations
Kayori Takahashi, Kazuo Sakurai · Drug Delivery System · 2020 · 917 citations · Full text
On Kolmogorov's inertial-range theories
Robert H. Kraichnan · Journal of Fluid Mechanics · 1974 · 368 citations