DISSIPATIVE SCALING FUNCTIONS IN NAVIER-STOKES TURBULENCE : EXPERIMENTAL TESTS
@article{Fairhall1997DISSIPATIVESF, title={DISSIPATIVE SCALING FUNCTIONS IN NAVIER-STOKES TURBULENCE : EXPERIMENTAL TESTS}, author={Adrienne L. Fairhall and Victor S. L’vov and Itamar Procaccia}, journal={EPL}, year={1997}, volume={43}, pages={277-283} }
A recent theoretical development in the understanding of the small-scale structure of Navier-Stokes turbulence has been the proposition that the scales ηn(R) that separate inertial from viscous behavior of many-point correlation functions depend on the order n and on the typical separations R of points in the correlation. This is of fundamental significance in itself but it also has implications for the scaling behaviour of various correlation functions. This dependence has never been observed…
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References
SHOWING 1-4 OF 4 REFERENCES
Fusion Rules in Navier-Stokes Turbulence: First Experimental Tests
- Physics
- 1997
We present the first experimental tests of the recently derived fusion rules for Navier-Stokes (N-S) turbulence. The fusion rules address the asymptotic properties of many-point correlation functions…
Turbulence: The Legacy of A. N. Kolmogorov
- Physics
- 1995
Preface 1. Introduction 2. Symmetries and conservation laws 3. Why a probabilistic description of turbulence? 4. Probabilistic tools: a survey 5. Two experimental laws of fully developed turbulence…
Direct Numerical Simulations of the Kraichnan Model : Scaling Exponents and Fusion Rules
- Physics
- 1997
We present results from direct numerical simulations of the Kraichnan model for passive scalar advection by a rapidly-varying random scaling velocity field for intermediate values of the velocity…
Phys
- Rev. Lett., 63, 1963
- 1991