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TsAGI Science Journal

ISSN Print: 1948-2590
ISSN Online: 1948-2604

TsAGI Science Journal

DOI: 10.1615/TsAGISciJ.2018028963
pages 507-514

EXTREMAL PROPERTIES OF PRESSURE IN AXISYMMETRIC VORTEX GAS FLOWS

Valerii Nikolaevich Golubkin
Central Aerohydrodynamic Institute (TsAGI), 1, Zhukovsky Str., Zhukovsky, Moscow Region, 140180, Russian Federation
Grigorii Borisovich Sizykh
Moscow Institute of Physics and Technology (MIPT), 9 Institutskiy Per., Dolgoprudny, 141700, Moscow Region, Russia
Sergey Valer'evich Chernov
Central Aerohydrodynamic Institute (TsAGI), Zhukovsky str. 1, Zhukovsky, Moscow Region, 140180 Russia

ABSTRACT

Based on the exact Euler equations of steady axisymmetric nonswirling vortex ideal gas flows, it is shown that the pressure minimum value is reached at the boundary of the subsonic flow domain in the absence of internal stagnation points. Violation of this extremal property is evidenced by the presence of a stagnation or sonic point. The analytical result obtained is illustrated by a computational fluid dynamics example. The result can be used to verify numerical calculations of the flow in the subsonic zone behind a detached bow shock wave near a body in revolution in a supersonic flow.


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