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Дмитренко, Артур Владимирович

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Институт ядерной физики и технологий
Цель ИЯФиТ и стратегия развития - создание и развитие научно-образовательного центра мирового уровня в области ядерной физики и технологий, радиационного материаловедения, физики элементарных частиц, астрофизики и космофизики.
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  • Публикация
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    The uncertainty relation in the turbulent continuous medium
    (2020) Dmitrenko, A. V.; Дмитренко, Артур Владимирович
    © 2019, Springer-Verlag GmbH Germany, part of Springer Nature.One of the key problems of continuum physics is the problem of determining the characteristics of disturbances, leading to chaos (turbulence) in the medium. Until now, the existing theories have not yielded results. In this paper, the uncertainty relation in the process of turbulence of a continuum medium is determined on the basis of stochastic equations and equivalence of measures. The uncertainty relation expresses the fact that there is not one vortex, but a family of vortices that have a single dependence of the space–energy similarity (E· L-a) = constant which are able to generate turbulence during the interaction with the main motion. The validity of the obtained uncertainty relation is confirmed by the satisfactory agreement of the obtained stochastic spectrum formulas with the experimental spectrum for turbulent flows in the pipe and on the flat plate. This family of vortexes has a formula of spectrum E(k) depending on wave numbers k in form E(k) ∼ kn. For the flow in the boundary layer on the flat plate n= - 1.5 and for the flow in the round tube n= - 1.29 ÷ - 1.4.
  • Публикация
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    Formation of a Turbulence Spectrum in the Inertial Interval on the Basis of the Theory of Stochastic Equations and Equivalence of Measures
    (2020) Dmitrenko, A. V.; Дмитренко, Артур Владимирович
    An analytical representation of a turbulence spectrum in the inertial interval is given based on stochastic equations for the continual laws of continuous medium and the laws of the equivalence of measures between random and deterministic motions in the theory of stochastic hydrodynamics. The analytical solution of these equations is presented in the form of spectral function E(k) similar to k(n) corresponding to the classical dependence E(k) similar to k(-5/3) obtained earlier by A. N. Kolmogorov in the statistical theory on the basis of dimensional considerations. The presented solution confirms the possibility of determining partial solutions for the spectral function depending on the wave number on the base of single implications of the theory of stochastic hydrodynamics within the framework of which the solutions in the fi eld of wave numbers of turbulence generation were obtained.
  • Публикация
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    The theoretical solution for the reynolds analogy based on the stochastic theory of turbulence
    (2019) Dmitrenko, A. V.; Дмитренко, Артур Владимирович
    © 2019 Pushpa Publishing House, Prayagraj, India.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.
  • Публикация
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    Estimation of parameters of energy systems on the basis on the theory of stochastic equations and equivalence of measures
    (2021) Kolosova, M. A.; Chernyshov, V. N.; Dmitrenko, A. V.; Дмитренко, Артур Владимирович
    © 2021 Pushpa Publishing House, Prayagraj, India.The problem of efficient use of low-grade heat based on the organic Rankine cycle (ORC) in stationary energy transport complexes seems relevant. In particular, this task is typical for boiler houses that are converted from heavy fuel oil to gas. In this case, the efficiency of the ORC application will primarily be determined by the efficiency of the used heat exchangers (HE) with a phase transition. Therefore, the task of designing and calculating the optimal characteristics of these HE is both technically and theoretically relevant. In this regard, the article presents a computational-theoretical model of heat transfer during phase transitions in turbulent flows based on the relations obtained by the stochastic theory of hydrodynamics and heat transfer. The modeling of the influence of turbulence during the phase transition with boiling of the bubble regime is considered. The comparison results show satisfactory agreement of the values according to the formula obtained on the basis of stochastic equations with the values calculated according to the empirical formula for the flow in a pipe used in the engineering method of designing heat exchangers. The results open the prospect of studying the processes of heat transfer during phase transitions in turbulent flows in heat exchangers, in order to reduce their overall and mass characteristics, as well as to increase the energy efficiency of both the devices themselves and the efficiency of the entire energy systems.
  • Публикация
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    Theoretical solutions for spectral function of the turbulent medium based on the stochastic equations and equivalence of measures
    (2021) Dmitrenko, A. V.; Дмитренко, Артур Владимирович
    © 2020, Springer-Verlag GmbH Germany, part of Springer Nature.The analytical formulas for spectrum of turbulence on the basis of the new theory of stochastic hydrodynamics are presented. This theory is based on the theory of stochastic equations of continuum laws and equivalence of measures between random and deterministic movements. The purpose of the article is to present a solutions based on these stochastic equations for the formation of the turbulence spectrum in the form of the spectral function E(k) j depending on wave numbers k in form E(k) j∼ kn. At the beginning of the article two formulas for the viscous interval were obtained. The first analytical formula gives the law E(k) j∼ k- 3 and agrees with the experimental data for initial period of the dissipation of turbulence. The second analytical formula gives the law which is in a satisfactory agreement with the classical Heisenberg’s dependence in the form of E(k) j∼ k- 7. The final part of the paper presents four analytical solutions for a spectral function on the form E(k) j∼ kn, n = (- 1 , 4 ; - 5 / 3 ; - 3 ; - 7) which are derived on the basis of stochastic equations and equivalence of measures. The statistical deviation of the calculated dependences for the spectral function from the experimental data is above 20%. It should be emphasized that statistical theory allowed to determine only two theoretical formulas that were determined by Kolmogorov E(k) j∼ k- 5 / 3 and Heisenberg E(k) j∼ k- 7.
  • Публикация
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    Some aspects of the formation of the spectrum of atmospheric turbulence
    (2020) Dmitrenko, A. V.; Дмитренко, Артур Владимирович
    © 2020 Pushpa Publishing House, Prayagraj, India.Results obtained on the basis of the stochastic theory of turbulence allow us to form other possibilities in the study of objects in the presence of atmospheric turbulence. This article discusses the possibility of applying these new results through the obtained spatial-energy distributions in various regions of the spectral density of turbulence as a function of the wave number.
  • Публикация
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    Analytical estimates of critical taylor number for motion between rotating coaxial cylinders based on theory of stochastic equations and equivalence of measures
    (2021) Dmitrenko, A. V.; Дмитренко, Артур Владимирович
    © 2021 by the author. Licensee MDPI, Basel, Switzerland.The purpose of this article was to present the solution for the critical Taylor number in the case of the motion between rotating coaxial cylinders based on the theory of stochastic equations of continuum laws and the equivalence of measures between random and deterministic motions. Analytical solutions are currently of special value, as the solutions obtained by modern numerical methods require verification. At present, in the scientific literature, there are no mathematical relationships connecting the critical Taylor number with the parameters of the initial disturbances in the flow. The result of the solution shows a satisfactory correspondence of the obtained analytical dependence for the critical Taylor number to the experimental data.
  • Публикация
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    CALCULATION OF EFFICIENCY AND THERMALHYDRAULIC CHARACTERISTICS OF ORC-POWER PLANT BASED ON LOW-POTENTIAL HEAT OF HOT WATER SUPPLY BOILER ROOM
    (2022) Kolosova, M. A.; Kolpakov, M. I.; Chernyshov, V. N.; Dmitrenko, A. V.; Дмитренко, Артур Владимирович
    © 2022 Pushpa Publishing House, Prayagraj, India.The paper considers the application of the results of stochastic theory of hydrodynamics and heat transfer. The efficiency and thermal-hydraulic characteristics such as hydraulic drag coefficient, pressure losses, Nusselt number and heat transfer for flow of the freon R245fa are calculated based on solutions of stochastic system of equations and using well-known classical formulas. For the conditions of ongoing equipment modernization, the possibility of using low-potential heat based on the organic Rankine cycle is discussed.
  • Публикация
    Только метаданные
    Calculation of the condensing unit for orc electric power complexes based on stochastic equations and semi-empirical dependencies
    (2022) Dmitrenko, A. V.; Kolpakov, M. I.; Kolosova, M. A.; Zakutnov, S. A.; Boychenko, D. A.; Дмитренко, Артур Владимирович
  • Публикация
    Только метаданные
    Prediction of laminar–turbulent transition on flat plate on the basis of stochastic theory of turbulence and equivalence of measures
    (2022) Dmitrenko, A. V.; Дмитренко, Артур Владимирович
    © 2022, The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature.In this article, on the basis of the stochastic theory of turbulence and the regularity of equivalence of measures, the calculation of the friction coefficient is presented for the laminar–turbulent transition on the flat plate. As a result, the formula for the friction coefficient depending on the turbulence intensity, the scale of turbulence, the velocity-profile index, and the Reynolds number for the laminar–turbulent regime of flow of an incompressible fluid along a smooth flat plate is proposed. For each of the listed parameters included in the equation for the drag coefficient, the relations determining these parameters for each Reynolds number in the region of the laminar–turbulent transition are obtained. It is also determined that the equation for the friction coefficient obtained previously on the basis of stochastic equations for a fully developed turbulent flow can be obtained on the basis of a new dependence for the laminar–turbulent transition with taking into account the initial perturbations in the deterministic motion. The parameters of these perturbations may be determined from the well-known experimental data for the initial turbulence in the flow on the flat plate. Using new dependence of the friction coefficient for the laminar–turbulent transition, it is possible to understand that the differences between the experimental results both for the laminar–turbulent transition and for a fully developed turbulent flow with the same Reynolds number are caused by the difference in the magnitudes of flow fluctuations for concrete experiment instead of only due to the systematic error in the processing of experimental data. The friction coefficient for a laminar–turbulent transition on a smooth flat plate is calculated in the of Reynolds number range of 5 × 10 5÷ 2 × 10 7 up to the region of developed turbulent flow. The results of calculations of the friction coefficient show both qualitative and quantitative agreement with the experimental data. So, the law of equivalence of measures and stochastic equations presents both the physical and mathematical essence between interacting deterministic and random states. Thus, “the discovery of the interplay of disorder and fluctuations in physical systems from atomic to planetary scales” does not reflect the law of mechanism of interaction of a deterministic state with the fluctuation.