“School of Physics”
Back to Papers HomeBack to Papers of School of Physics
| Paper IPM / P / 6649 |
|
||||||
| Abstract: | |||||||
|
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
|x1−x2|−α3, where
α3=2+[(√{33})/6]. It is shown that, in three-dimensions, the
energy spectrum E(k) is the inertial range scales with exponent
2−[(√{33})/12] ≅ 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.
Download TeX format |
|||||||
| back to top | |||||||
