Certificate of Registration Media number Эл #ФС77-53688 of 17 April 2013. ISSN 2308-6033. DOI 10.18698/2308-6033
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Determining critical flow parameters for the Poiseuille, Couette and Taylor – Couette flows

Published: 10.06.2020

Authors: Kondratiev A.S., Ogorodnikov K.F.

Published in issue: #6(102)/2020

DOI: 10.18698/2308-6033-2020-6-1985

Category: Mechanics | Chapter: Mechanics of Liquid, Gas, and Plasma

Based on a detailed analysis of the known Dou method for determining the critical parameters of a Newtonian fluid flow during the transition of a laminar flow regime to a turbulent one, an alternative to determining the critical Reynolds number for the Poiseuille and Couette flows in cylindrical, coaxial and flat channels, the article proposes a new mathematical justification of the Dou method leading to simpler calculation relations, while preserving the initial ideas about the physical conditions of the transition. New computing expressions for determining the critical Dou number for the generalized Poiseuille – Couette flow in a flat channel not considered by Dou are obtained. Analytical expressions for calculating critical parameters for the Taylor – Couette flow approximating experimental results for critical Reynolds numbers are given, as well as calcula-ted values of critical Dou numbers.

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