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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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Теперь показываю 1 - 10 из 19

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Accounting for Quadratic and Cubic Invariants in Continuum Mechanics–An Overview
(2024) Dmitrenko, A. V.; Ovsyannikov, V. M.; Дмитренко, Артур Владимирович
The differential equations of continuum mechanics are the basis of an uncountable variety of phenomena and technological processes in fluid-dynamics and related fields.These equations contain derivatives of the first order with respect to time.The derivation of the equations of continuum mechanics uses the limit transitions of the tendency of the volume increment and the time increment to zero.Derivatives are used to derive the wave equation.The differential wave equation is second order in time.Therefore, increments of volume and increments of time in continuum mechanics should be considered as small but finite quantities for problems of wave formation.This is important for calculating the generation of sound waves and water hammer waves.Therefore, the Euler continuity equation with finite time increments is of interest.The finiteness of the time increment makes it possible to take into account the quadratic and cubic invariants of the strain rate tensor.This is a new branch in hydrodynamics.Quadratic and cubic invariants will be used in differential wave equations of the second and third order in time.
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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.
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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.
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Determination of Critical Reynolds Number for the Flow Near a Rotating Disk on the Basis of the Theory of Stochastic Equations and Equivalence of Measures
(2020) Dmitrenko, A. V.; Дмитренко, Артур Владимирович
The determination of the flow regime of liquid and gas in power plants is the most important design task. Performing the calculations based on modern calculation methods requires a priori knowledge of the initial and boundary conditions, which significantly affect the final results. The purpose of the article is to present the solution for the critical Reynolds number for the flow near a rotating disk on the basis of the theory of stochastic equations of continuum laws and equivalence of measures between random and deterministic motions. The determination of the analytical dependence for the critical Reynolds number is essential for the study of flow regimes and the thermal state of disks and blades in the design of gas and steam turbines. The result of the calculation with using the new formula shows that for the flow near a wall of rotating disk, the critical Reynolds number is 325,000, when the turbulent Reynolds is 5 divided by 10 and the degree of turbulence is 0.01 divided by 0.02. Therefore, the result of solution shows a satisfactory correspondence of the obtained analytical dependence for the critical Reynolds number with the experimental data.
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Determination of critical Reynolds number in the jet based on the theory of stochastic equations and equivalence of measures
(2020) Dmitrenko, A. V.; Дмитренко, Артур Владимирович
© Published under licence by IOP Publishing Ltd.On the basis of the theory of stochastic equations and the theory of equivalence of measures, the flow in a plane jet is considered. As a result, in accordance with these theories, the analytical dependence for the critical Reynolds number and the expression for the critical point of the transition from the laminar flow to turbulent motion in the jet are derived. The calculations carried out using new formulas showed satisfactory agreement with the known experimental values of the critical Reynolds number.
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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.
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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.
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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 Spectrum of the turbulence based on theory of stochastic equations and equivalenceof measures
(2020) Dmitrenko, A. V.; Дмитренко, Артур Владимирович
© Published under licence by IOP Publishing Ltd.The formation of the spectrum of turbulence in the inertial interval on the basis of the new theory of stochastic hydrodynamics is 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 solution based on these stochastic equations for the formation of the turbulence spectrum in the inertial interval in the form of the spectral function E(k)j depending on wave numbers k in form E(k)j∼kn. The results of analytical solutions showed a satisfactory correspondence of the obtained dependence with the classical Kolmogorov's dependence in the form of E(k)j∼k5/3.