摘要
从涡量矩定理出发,通过保形变换法推导出翼型在不可压流场中的虚拟质量。利用变换前后的涡层守恒关系、结合边界元方法的原理,革新了翼型外平面到单位圆外平面的保形映射算法。理论推导结果表明,翼型的虚拟质量只与不可压流体的密度及翼型本身的形状有关。算法在变换对称与非对称Joukowski翼型、RAE2822翼型,以及若干NACA系列翼型时,节点位置的偏差在0.2%内,虚拟质量的计算值与理论值吻合良好。
Formula of virtual mass of airfoil in incompressible flow is deduced from vorticity-moment theorem through conformal mapping.With the conservation of vortex sheet,a new numeral solution of conformal mapping is developed using panel method.The theoretical model indicates that virtual mass is determined by the density of fluid and the shape of airfoil.On the other hand,present numeral method performs well on symmetry and asymmetry Joukowski Airfoils,RAE2822 airfoil and several airfoils of NACA family.The result of virtual mass shows an accurate agreement with the theoretical value.
出处
《空气动力学学报》
EI
CSCD
北大核心
2010年第6期626-632,共7页
Acta Aerodynamica Sinica
关键词
涡量矩定理
保形变换
虚拟质量
vorticity-moment theorem
conformal mapping
virtual mass
