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CIRCULAR CYLINDER IN THE TRANSONIC FLOWOF A VISCOUS PERFECT GAS

Volumen 42, Edición 1, 2011, pp. 13-36
DOI: 10.1615/TsAGISciJ.v42.i1.20
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SINOPSIS

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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