NUMERICAL SOLUTION OF THE EQUATION FOR THE SINGLE-POINT 
PROBABILITY DENSITY FUNCTION OF TURBULENT FLUCTUATIONS
OF A SCALAR FIELD
A. D. Chornyi

UDC 532.517.4

Consideration is given to the problem of turbulent 
mixing behinning with the state of total unmixing of a scalar field 
on the molecular level. It is implemented by numerical integration 
of the equation for the single-point probability density function 
(PDF) ft() of fluctuations of a passive 
scalar field using the tools of solution of retrospective problems. 
The obtained evolution of ft() agrees with 
the results of a number of theoretical and experimental works.

Academic Scientific Complex "A. V. Luikov Heat and Mass 
Transfer Institute," National Academy of Sciences of Belarus, Minsk, 
Belarus; email: anchor@ns1.hmti.ac.by. Translated from Inzhenerno-Fizicheskii 
Zhurnal, Vol. 73, No. 4, pp. 113-116, May-June, 2001. 
Original article submitted October 24, 2000.

JEPTER74920200116
JEPTER7492016