Generalized scaling in fully developed turbulence (original) (raw)

Physical Review E, 1996

We discuss a possible theoretical interpretation of the self scaling property of turbulent flows (Extended Self Similarity). Our interpretation predicts that, even in cases when ESS is not observed, a generalized self scaling, must be observed. This prediction is checked on a number of laboratory experiments and direct numerical simulations.

A new scaling property of turbulent flows

1995

On the scaling of three-dimensional homogeneous and isotropic turbulence

Physica D: Nonlinear Phenomena, 1995

In this paper we investigate the scaling properties of three-dimensional isotropic and homogeneous turbulence. We analyze a new form of scaling (extended self-similarity) recently introduced in the literature. We found that anomalous scaling of the velocity structure functions is clearly detectable even at a moderate and low Reynolds number and it extends over a much wider range of scales with respect to the inertial range.

Extended self-similarity in turbulent flows

Physical Review E, 1993

We report on the existence of a hitherto undetected form of self-similarity, which we call extended self-similarity (ESS). ESS holds at high as well as at low Reynolds number, and it is characterized by the same scaling exponents of the velocity difFerences of fully developed turbulence.

A Generalization of Scaling Models of Turbulence

Journal of Statistical Physics, 2012

We report on some implications of the theory of turbulence developed by V. Yakhot [V. Yakhot, Phys. Rev. E 57(2) (1998)]. In particular we focus on the expression for the scaling exponents ζn. We show that Yakhot's result contains three well known scaling models as special cases, namely K41, K62 and the theory by V. L'vov and I. Procaccia [V. L'vov & I. Procaccia, Phys. Rev. E 62(6) (2000)]. The model furthermore yields a theoretical justification for the method of extended self-similarity (ESS).

Is There Scaling in High-Reynolds-Number Turbulence?

Progress of Theoretical Physics Supplement, 1998

Thrbulence velocity measurements have been made in the surface layer of the atmosphere at Taylor microscale Reynolds numbers between 10,000 and 20,000. Even at these high Reynolds numbers, the structure functions do not scale unambiguously. It is shown that the scaling improves significantly by implementing a plausible correction due to the mean shear. For second and fourth order structure functions, the exponents for the corrected data are close to those determined by extended self-similarity (ESS). ESS improves scaling enormously for all orders, and is used to obtain exponents for moment orders between-0.08 and 10. Anomaly prevails even for very low orders. A major qualitative conclusion is that it is difficult to discuss the scaling effectively without first understanding quantitatively the effects of finite shear and finite Reynolds numbers.

Self-scaling properties of velocity circulation in shear flows

Physical Review E, 1997

We investigate the scaling properties of the velocity circulation of a turbulent shear flow. We evaluate, using extended self-similarity, the circulation scaling exponents both at maximum and minimum shear regions. We show that the anomalous component of the velocity circulation and the anomalous component of the velocity structure functions are equal. ͓S1063-651X͑97͒11202-8͔

Some comments on scaling exponents of turbulence

Journal De Physique Ii, 1993

Several authors have reported that in turbulence the scaling exponent of the first order velocity structure function increases when the Reynolds number Re decreases. From this result some important consequences on the transition to turbulence could be obtained. However we report experiemntal evidence that this result is coming only from an improper definition of the inertial range. Our data clearly

Generalized scaling in fully developed turbulence (original) (raw)

Related papers