On the universality of the Kolmogorov constant

Sreenivasan, Katepalli R.

doi:doi:10.1063/1.868656

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On the modeling of homogeneous turbulence in a stably stratified flow

The decay of incompressible, homogeneous turbulence in a stably stratified medium is investigated. A conventional high‐Reynolds‐number, two‐equation model with suitable improvements for buoyancy effects is used to calculate the velocity field, while an explicit algebraic heat‐flux model that depends on the velocity field and the transport of the temperature variance and its dissipation rate is invoked for the temperature field. The model thus derived could account for buoyancy flux and streamwis...

Probability distribution functions for Navier–Stokes turbulence

The probability distribution function (PDF), P(Δur), of a velocity difference, Δur, over a distance r in incompressible fluid turbulence is derived from the Navier–Stokes equations using the underlying functional probability distribution. Two different types of approximation are used to evaluate the resulting functional integral for P(Δur). The first is based on the saddle‐point technique. It is used to examine the non‐Gaussian features of P(Δur) and to demonstrate, in particular, that its tail ...

All known data are collected on the Kolmogorov constant in one‐dimensional spectral formula for the inertial range. For large enough microscale Reynolds numbers, the data (despite much scatter) support the notion of a ‘‘universal’’ constant that is independent of the flow as well as the Reynolds number, with a numerical value of about 0.5. In particular, it is difficult to discern support for a recent claim that the constant is Reynolds number dependent even at high Reynolds numbers. © 1995 American Institute of Physics.