Abstract:
This paper examines the D'Alembert's paradox in the flow of ideal incompressible medium around a cylinder when flow conditions are close to real ones. The velocity profile of incoming flow is specified on a section at a finite distance from the cylinder. An additional parameter is introduced to determine the degree of asymmetry of the incoming flow. Initially, the value оf this parameter is assumed to be small. The parameter that determines the geometric dimensions of the cylinder is also introduced. Some cases are identified when the situation is close to D'Alembert's paradox in its classic version, and when it is not. It depends on the values of introduced parameters.
Keywords:
ideal incompressible medium, flow around a cylinder, Euler equations, integral, velocity profile, asymmetrical flow, lift, drag.
Received: 09.04.2016 Received in revised form: 08.12.2016 Accepted: 20.01.2017
Bibliographic databases:
Document Type:
Article
UDC:
532.5.013
Language: English
Citation:
Alexander V. Koptev, “D'Alembert's paradox in near real conditions”, J. Sib. Fed. Univ. Math. Phys., 10:2 (2017), 170–180
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\by Alexander~V.~Koptev
\paper D'Alembert's paradox in near real conditions
\jour J. Sib. Fed. Univ. Math. Phys.
\yr 2017
\vol 10
\issue 2
\pages 170--180
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\crossref{https://doi.org/10.17516/1997-1397-2017-10-2-170-180}
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Linking options:
https://www.mathnet.ru/eng/jsfu537
https://www.mathnet.ru/eng/jsfu/v10/i2/p170
This publication is cited in the following 2 articles:
Tianshu Liu, “Can lift be generated in a steady inviscid flow?”, Adv. Aerodyn., 5:1 (2023)
A. V. Koptev, I. V. Voytko, “Integration of Euler equations for 2D motion of compressible medium flow”, Mezhdunar. nauch.-issled. zhurn., 2018, no. 11(77), 21–26
Citation in format AMSBIB
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