DERIVATION AND NUMERICAL SOLUTION OF A SYSTEM OF EQUATIONS 
FOR THE SINGLE-POINT PROBABILITY DENSITY AND CONVENTIONAL RATE OF 
DISSIPATION OF TURBULENT PULSATIONS OF A SCALAR FIELD

V. A. Babenko , V. A. Sosinovich , and 
Yu. V. Zhukova

UDC 532.517.4

On the basis of the authors' earlier closed equation 
for the joint probability density function of pulsations of an isotropic 
turbulent scalar field and its gradient, we derived and solved numerically 
a system of equations for the single-point probability density and 
conventional rate of scalar dissipation (CRSD) of fluctuations of 
a passive scalar field. In closing the equation for the CRSD, the 
hypothesis that the effect of pulsations of this function on its evolution 
is of no consequence is adopted. The system includes equations for 
functions that describe the distribution of turbulent energy and the 
intensity of scalar pulsations over different length scales.

JEPTER74920199916
JEPTER7492016