On different cascade-speeds for longitudinal and transverse velocity increments

Details On different cascade-speeds for longitudinal and transverse velocity increments On different cascade-speeds for longitudinal and transverse velocity increments

2003-09-25

arxiv.org/abs/physics/0309106v1

Physics

Fluid Dynamics

4 pages, 5 figures, now with corrected postscript

Scientific paper

10.1103/PhysRevE.70.015302

We address the problem of differences between longitudinal and transverse velocity increments in isotropic small scale turbulence. The relationship of these two quantities is analyzed experimentally by means of stochastic Markovian processes leading to a phenomenological Fokker- Planck equation from which a generalization of the Karman equation is derived. From these results, a simple relationship between longitudinal and transverse structure functions is found which explains the difference in the scaling properties of these two structure functions.

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