Open AccessDetermination of critical Reynolds number in the jet based on the theory of stochastic equations and equivalence of measures
Author(s) -
A. V. Dmitrenko
Publication year - 2020
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1705/1/012015
Subject(s) - reynolds number , turbulence , equivalence (formal languages) , mathematics , laminar flow , jet (fluid) , plane (geometry) , statistical physics , mechanics , physics , geometry , pure mathematics
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.