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The uncertainty relation in the turbulent continuous medium

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dc.contributor.authorDmitrenko, A. V.
dc.contributor.authorДмитренко, Артур Владимирович
dc.date.accessioned2024-11-25T14:43:01Z
dc.date.available2024-11-25T14:43:01Z
dc.date.issued2020
dc.description.abstract© 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.
dc.format.extentС. 161-171
dc.identifier.citationDmitrenko, A. V. The uncertainty relation in the turbulent continuous medium / Dmitrenko, A.V. // Continuum Mechanics and Thermodynamics. - 2020. - 32. - № 1. - P. 161-171. - 10.1007/s00161-019-00792-0
dc.identifier.doi10.1007/s00161-019-00792-0
dc.identifier.urihttps://www.doi.org/10.1007/s00161-019-00792-0
dc.identifier.urihttps://www.scopus.com/record/display.uri?eid=2-s2.0-85066809085&origin=resultslist
dc.identifier.urihttp://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=Alerting&SrcApp=Alerting&DestApp=WOS_CPL&DestLinkType=FullRecord&UT=WOS:000511702200011
dc.identifier.urihttps://openrepository.mephi.ru/handle/123456789/19983
dc.relation.ispartofContinuum Mechanics and Thermodynamics
dc.titleThe uncertainty relation in the turbulent continuous medium
dc.typeArticle
dspace.entity.typePublication
oaire.citation.issue1
oaire.citation.volume32
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