REYNOLDS ANALOGY BASED ON THE THEORY OF STOCHASTIC EQUATIONS AND EQUIVALENCE OF MEASURES*

A new dependence has been obtained to calculate the Reynolds analogy in a nonisothermal turbulent fl ow in a circular tube. The formula for the Reynolds analogy was obtained from stochastic turbulence theory, which is based on stochastic differential equations of the laws of conservation of mass, momentum, and energy, and also on the regularities of equivalence of measures between deterministic and random motions. A comparison has been made of the calculation results for the classical formula and for the new formula for various Prandtl numbers.
   
Author:  A. V. Dmitrenko
Keywords:  stochastic equations, equivalence of measures, Reynolds analogy
Page:  186