MODEL OF THE SURFACE OF EQUAL CONCENTRATION
IN A TURBULENT REACTING FLOW

Yu. V. Zhukova and V. A. Sosinovich

UDC 532.517.4

Statistical data on the scalar-field gradient obtained 
by means of direct numerical simulation of turbulence is used in the 
present paper to predict the form of the specific area of the isoscalar 
surface at different stages of evolution of a turbulent flow. From 
the available literature data on the conditional scalar dissipation 
rate a suggestion of the form of typical realizations of the turbulent 
field at different stages of its evolution is made and on this basis 
the form of the scalar gradient probability density on the isoconcentric 
surface is proposed. Using this quantity and the idea that the turbulent 
scalar field is multiscale in nature, it is possible to calculate 
the dependence of the specific area of equal concentration on the 
scalar value at the initial, intermediate, and final stages of turbulent 
mixing. The results of the present work are compared with the results 
of other theoretical approaches to the calculation of the surface 
area of equal concentration.

A. V. Luikov Heat and Mass Transfer Institute, National Academy 
of Sciences of Belarus, Minsk, Belarus; email:svaturb@ns1.hmti.ac.by. 
Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 75, No. 3, pp. 51-62, 
May-June, 2002. Original article submitted July 11, 2001.

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