Analytical Estimates of Critical Taylor Number for Motion between Rotating Coaxial Cylinders Based on Theory of Stochastic Equations and Equivalence of Measures

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 solut...
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Autor*in:	Artur V. Dmitrenko [verfasserIn]

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2021

Schlagwörter:	stochastic equations equivalence of measures nature of turbulence critical Reynolds number

Übergeordnetes Werk:	In: Fluids - MDPI AG, 2016, 6(2021), 9, p 306
Übergeordnetes Werk:	volume:6 ; year:2021 ; number:9, p 306

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DOI / URN:	10.3390/fluids6090306

Katalog-ID:	DOAJ054822963

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callnumber-first	Q - Science
author	Artur V. Dmitrenko
spellingShingle	Artur V. Dmitrenko misc QC310.15-319 misc QC120-168.85 misc stochastic equations misc equivalence of measures misc nature of turbulence misc critical Reynolds number misc Thermodynamics misc Descriptive and experimental mechanics Analytical Estimates of Critical Taylor Number for Motion between Rotating Coaxial Cylinders Based on Theory of Stochastic Equations and Equivalence of Measures
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topic_title	QC310.15-319 QC120-168.85 Analytical Estimates of Critical Taylor Number for Motion between Rotating Coaxial Cylinders Based on Theory of Stochastic Equations and Equivalence of Measures stochastic equations equivalence of measures nature of turbulence critical Reynolds number
topic	misc QC310.15-319 misc QC120-168.85 misc stochastic equations misc equivalence of measures misc nature of turbulence misc critical Reynolds number misc Thermodynamics misc Descriptive and experimental mechanics
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title	Analytical Estimates of Critical Taylor Number for Motion between Rotating Coaxial Cylinders Based on Theory of Stochastic Equations and Equivalence of Measures
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title_full	Analytical Estimates of Critical Taylor Number for Motion between Rotating Coaxial Cylinders Based on Theory of Stochastic Equations and Equivalence of Measures
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title_sort	analytical estimates of critical taylor number for motion between rotating coaxial cylinders based on theory of stochastic equations and equivalence of measures
callnumber	QC310.15-319
title_auth	Analytical Estimates of Critical Taylor Number for Motion between Rotating Coaxial Cylinders Based on Theory of Stochastic Equations and Equivalence of Measures
abstract	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.
abstractGer	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.
abstract_unstemmed	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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title_short	Analytical Estimates of Critical Taylor Number for Motion between Rotating Coaxial Cylinders Based on Theory of Stochastic Equations and Equivalence of Measures
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