Journal of Engineering Physics and Thermophysics is a translation of Inzhenerno-fizicheskii Zhurnal,
a publication of the Academic Scientific Complex "A. V. Luikov Heat and Mass Transfer Institute"
of the National Academy of Sciences of Belarus
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A CLOSED EQUATION FOR THE JOINT PROBABILITY 
DENSITY FUNCTION OF THE MAGNITUDES OF FLUCTUATIONS 
OF A TURBULENT SCALAR REACTING FIELD AND ITS GRADIENT

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

UDC 532.517.4

We  derived  a  closed  system  of equations for calculating 
the  single-point  joint probability density function (JPDF) 
of the magnitudes of fluctuations of a scalar reacting field 
and  its  gradient.  The  system  of  equations  includes an 
equation for the JPDF and two  equations  for functions that 
describe the distribution of turbulent  energy  and  of  the 
reacting-scalar  intensity  over various length scales.  The 
latter  functions  are  necessary  for  calculation   of the 
time-dependent coefficients in the equation for the JPDF.

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JEPTER74920199816 JEPTER7492016