JP Journal of Heat and Mass Transfer
Volume 18, Issue 2, Pages 463 - 476
(December 2019) http://dx.doi.org/10.17654/HM018020463 |
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THE THEORETICAL SOLUTION FOR THE REYNOLDS ANALOGY BASED ON THE STOCHASTIC THEORY OF TURBULENCE
A. V. Dmitrenko
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Abstract: The article presents a new dependence for calculating the Reynolds analogy in a nonisothermal turbulent flow along a smooth flat plate. The formula for the Reynolds analogy is derived from the stochastic theory of turbulence, which is based on the stochastic differential equations of the laws of conservation of mass, momentum, and energy, as well as the regularity of equivalence of measures between deterministic and random motions. The results of the calculation for classic formula and for new formula for different Prandtl numbers are presented. |
Keywords and phrases: Reynolds analogy, stochastic equations, the equivalence of measures.
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