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Reynolds Analogy Based on the Theory of Stochastic Equations and Equivalence of Measures

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Journal of Engineering Physics and Thermophysics Aims and scope

A new dependence has been obtained to calculate the Reynolds analogy in a nonisothermal turbulent flow 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.

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Authors and Affiliations

  1. National Research Nuclear University, “MIFI (Moscow Engineering Physics Institute),”, 31 Kashirskoe Highway, Moscow, 115409, Russia

    A. V. Dmitrenko

  2. University of Transport, “MIIT (Moscow Institute of Transport Engineers),”, 9 Obraztsov Str., Moscow, 127997, Russia

    A. V. Dmitrenko

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Correspondence to A. V. Dmitrenko.

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Dedicated to the memory of Academician of the Russian Academy of Sciences Nikolai Apollonovich Anfimov.

Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 94, No. 1, pp. 195–202, January–February, 2021.

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Dmitrenko, A.V. Reynolds Analogy Based on the Theory of Stochastic Equations and Equivalence of Measures. J Eng Phys Thermophy 94, 186–193 (2021). https://doi.org/10.1007/s10891-021-02296-8

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