Second Symposium on Turbulence and Shear Flow Phenomena
DOI: 10.1615/TSFP2
A CONJECTURE: TURBULENCE SUBJECTED TO CYCLIC STRAIN ALWAYS DECAYS
pages 223-228
DOI: 10.1615/TSFP2.370
ABSTRACT
Analytical solutions of a second moment closure for homogeneous turbulence subjected to periodic compression-dilatation strains show that both the characteristic turbulence frequency and turbulent kinetic energy eventually decay, irrespective of the initial state. The eddy-viscosity models on the other hand give erroneous results because they overlook the phase lag between periodic strain rate and stresses in the exact production term in the second moment closure. The author's opinion that, turbulence submitted to cyclic strains should always finally decay, remains a conjecture however, since some (justified) simplifications were necessary to produce the analytical solutions.