Velocity field statistics in the inertial to dissipation range of three-dimensional homogeneous
steady turbulent flow are studied using a high-resolution DNS with up to N= 1024 3 grid …

In various industrial applications, turbulence can be affected by density variations resulting
from different origins acting simultaneously. This monograph is intended as a first attempt to …

Equations that follow from the Navier–Stokes equation and incompressibility but with no
other approximations are 'exact'. Exact equations relating second-and third-order structure …

Exact equations are given that relate velocity structure functions of arbitrary order with other
statistics.'Exact'means that no approximations are used except that the Navier–Stokes …

Comparing local energy cascade rates in isotropic turbulence using structure-function and
filtering formulations Page 1 J. Fluid Mech. (2024), vol. 980, A42, doi:10.1017/jfm.2023.1066 …

Kolmogorov's similarity hypotheses and his 4/5 law are valid at very large Reynolds
numbers. For flows encountered in the laboratory, the effect of a finite Reynolds number and …

The Kármán–Howarth–Monin–Hill equation is employed to study the production and
interscale energy transfer in a boundary layer undergoing bypass transition due to free …

Kolmogorov [AN Kolmogorov, Dokl. Akad. Nauk SSSR 30, 299 (1941)] formulated a theory
of small-scale turbulence (K41), valid at extremely large Reynolds numbers, based on two …

A dual scaling of the turbulent longitudinal velocity structure function $\overline {{(\delta u)}^
n} $, ie a scaling based on the Kolmogorov scales ($ u_K $, $\eta $) and another based on …

The variation of has obvious ramifications for small-scale turbulence research since it
violates the modified similarity hypothesis introduced by Kolmogorov (J. Fluid Mech., vol. 13 …