Integrated Loads

Vorticity induced lift, drag, and downwash can be calculated via:

$w_{y}=\frac{1}{4 \pi} \int_{b/2}^{b/2} (\frac{1}{y-y_0}) \frac{-d\Gamma_{y_{0}}}{dy} dy_0$ Eq. (1)

$L_{i}=\int_{b/2}^{b/2} \rho_{\infty} V_{\infty} \Gamma_{y} dy$ Eq. (2)

In the case of Vorticity integrated induced drag the following integration is calculated:

$D_{i}=\int_{b/2}^{b/2} \rho_{\infty} V_{\infty} w_{y} dy$ Eq. (3)

For Pressure based drag, the surface pressures are first calculated from the inviscid vorticity solution and then the combined induced + pressure drag is taken as:

$D_{i,p}=\int_{S}^{} (P \cdot n) dS$ Eq. (4)