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Дмитренко, Артур Владимирович

Организационные подразделения

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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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Дмитренко

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Артур Владимирович

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The correlation dimension of an attractor determined on the base of the theory of equivalence of measures and stochastic equations for continuum
(2020) Dmitrenko, A. V.; Дмитренко, Артур Владимирович
© 2019, Springer-Verlag GmbH Germany, part of Springer Nature. The physical law of the equivalence of measures between the random process and the regular process and the stochastic equations of continuum have opened the new way in stochastic theory of turbulence. An experimental method for determining the dimension of an attractor for hydrodynamic flows suggests re-conducting an enormous complex of experiments for flows for which data on the measurement of statistical moments have already been obtained. This article proposes the dependence for the calculation of the dimensions of the attractor based on statistical moments. In addition, applying this formula and the results obtained in the stochastic theory of turbulence based on the theory of the equivalence of measures, the new dependence for the dimension of the attractor as a function of initial perturbations in a hydrodynamic flow is presented. Calculated portraits of the correlation dimension of the attractor in the cross section of a circular pipe and in the cross section of the boundary layer on a flat plate are presented.
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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.
Только метаданные
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.
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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.
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The possibility of using low-potential heat based on the organic rankine cycle and determination of hydraulic characteristics of industrial units based on the theory of stochastic equations and equivalence of measures
(2020) Kolosova, M. A.; Dmitrenko, A. V.; Дмитренко, Артур Владимирович
© 2020 Pushpa Publishing House, Prayagraj, India.The article considers the practical application of the results of stochastic theory of hydrodynamics in the framework of the ongoing modernization of the heat supply system of industrial facilities, as a part of the main guidelines of the energy strategy of the Russian Federation. For the conditions of ongoing equipment modernization, the possibility of using low-potential heat based on the organic Rankine cycle is discussed. Hydraulic losses for flow of the diathermic oil are calculated based on solutions of stochastic system of equations.
Только метаданные
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.
Только метаданные
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.
Только метаданные
Reynolds Analogy Based on the Theory of Stochastic Equations and Equivalence of Measures
(2021) Dmitrenko, A. V.; Дмитренко, Артур Владимирович
© 2021, Springer Science+Business Media, LLC, part of Springer Nature.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.
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
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.