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俄罗斯空气动力研究所中心学报

ISSN 打印: 1948-2590
ISSN 在线: 1948-2604

俄罗斯空气动力研究所中心学报

DOI: 10.1615/TsAGISciJ.v40.i5.20
pages 535-551

LIFT AND INDUCED DRAG OF A FINITE-SPAN WING IN A FLOW OF VISCOUS COMPRESSIBLE GAS AT SUBSONIC SPEEDS

Aleksander Sergeevich Petrov
Central Aerohydrodynamic Institute (TsAGI) 1, Zhukovsky str., Zhukovsky, 140180, Moscow region

ABSTRACT

The method of transformation of the law of conservation of momentum for a continuum, applied by Zhukovsky [1] in the derivation of a profile lift theorem in an ideal incompressible fluid, is generalized for a spatial motion of a finite-span wing in a compressible viscous gas. As a result, we obtain an expression for the main vector of aerodynamic forces, which is the analog of the Zhukovsky theorem, but containing the side force and resistance force besides the lift. A correlation between the resistance force and the lift force is shown. An approximate analytical expression for the wing-induced drag in a viscous medium is obtained and the physical nature of its occurrence is studied. Limit as Re→∞, the Prandtl formula is for a wing-induced drag in an ideal fluid.