Exact Two-Point Correlation Functions of Turbulence Without Pressure in Three-Dimensions

Details Exact Two-Point Correlation Functions of Turbulence Without Pressure in Three-Dimensions Exact Two-Point Correlation Functions of Turbulence Without Pressure in Three-Dimensions

1997-07-19

arxiv.org/abs/hep-th/9707173v3

Physics

High Energy Physics

High Energy Physics - Theory

9 pages, latex, no figures, we have corrected the our basic equations. We predict the inertial-range exponent for the energy s

Scientific paper

10.1016/S0375-9601(98)00445-9

We investigate exact results of isotropic turbulence in three-dimensions when the pressure gradient is negligible. We derive exact two-point correlation functions of density in three-dimensions and show that the density-density correlator behaves as $ |{x_1 - x_2}|^{-\alpha_3}$, where $\alpha_3 = 2 + \frac{\sqrt{33}}{6}$. It is shown that, in three-dimensions, the energy spectrum $E(k)$ in the inertial range scales with exponent $ 2 - \frac {\sqrt{33}}{12} \simeq 1.5212$. We also discuss the time scale for which our exact results are valid for strong 3D--turbulence in the presence of the pressure. We confirm our predictions by using the recent results of numerical calculations and experiment.

Affiliated with

Also associated with

No associations

Rating

Exact Two-Point Correlation Functions of Turbulence Without Pressure in Three-Dimensions does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Exact Two-Point Correlation Functions of Turbulence Without Pressure in Three-Dimensions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Exact Two-Point Correlation Functions of Turbulence Without Pressure in Three-Dimensions will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-334373