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TsAGI Science Journal

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

TsAGI Science Journal

DOI: 10.1615/TsAGISciJ.v42.i1.20
pages 13-36

CIRCULAR CYLINDER IN THE TRANSONIC FLOWOF A VISCOUS PERFECT GAS

Vyacheslav Antonovich Bashkin
Central Aerohydrodynamic Institute (TsAGI), Zhukovsky, Moscow region, Russia
Ivan Valeryevich Ezhov
Central Aerohydrodynamic Institute (TsAGI), Zhukovsky Str. 1, Zhukovsky, 140180, Russia

ABSTRACT

The results of numerical integration of unsteady 2D Navier-Stokes equations applied to a circular cylinder in a steady transonic flow of viscous perfect gas are discussed. The calculations at Re = 105 were fulfilled in the range of Mach numbers M from 0.8 to 1.3 for cylinders with heat-insulated and isothermal (temperature factor Tw0 = 0.5) surfaces. It is shown that at MM* a periodical separation of vortices from a streamlined surface occurs, and the flow around the cylinder is unsteady. In case of M > M*, the periodical separation of vortices from the streamlined surface disappears, and the general structure of flow field is close to symmetrical; in addition, there is a narrow region of flow near the symmetry plane in the near wake where the motion of gas is unsteady. According to the calculations, 0.9 ≤ M* ≤ 0.95 for a heat-insulated cylinder and 0.8 ≤ M* ≤ 0.9 for isothermal cylinder. The comparison of calculated and experimental data on the distributions of local pressure and friction drag coefficients along the surface of cylinder at various Mach numbers is carried out.


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