Fundamental Vortex Systems

Abstract

One of the fundamental vortex systems that will be used in the calculation of flow past monoplane wings is the usual horseshoe vortex. It consists of a segment of a bound vortex of span l ₀ and two semi-infinite vortex filaments arising at the ends of the bound vortex and extending in the direction of the undisturbed flow U₀ (Fig. 7.1). All vortices of this system have a constant strength Γ₊ which can be expressed by the relation

$${\Gamma _ + } = {U_0}{l_0}\Gamma$$

((7.1))

where Γ is a dimensionless constant [36].