D'Alembert's paradox in near real conditions
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 10 (2017) no. 2, pp. 170-180
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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, integral, velocity profile, asymmetrical flow, lift, drag.
Mots-clés : Euler equations
Mots-clés : Euler equations
@article{JSFU_2017_10_2_a3,
author = {Alexander V. Koptev},
title = {D'Alembert's paradox in near real conditions},
journal = {\v{Z}urnal Sibirskogo federalʹnogo universiteta. Matematika i fizika},
pages = {170--180},
publisher = {mathdoc},
volume = {10},
number = {2},
year = {2017},
language = {en},
url = {http://geodesic.mathdoc.fr/item/JSFU_2017_10_2_a3/}
}
TY - JOUR AU - Alexander V. Koptev TI - D'Alembert's paradox in near real conditions JO - Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika PY - 2017 SP - 170 EP - 180 VL - 10 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/JSFU_2017_10_2_a3/ LA - en ID - JSFU_2017_10_2_a3 ER -
Alexander V. Koptev. D'Alembert's paradox in near real conditions. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 10 (2017) no. 2, pp. 170-180. http://geodesic.mathdoc.fr/item/JSFU_2017_10_2_a3/