Compressible infinite swept wing

For the compressible infinite swept wing, the PG transformation gives the following modified geometry,

also sketched in Figure 8.17.

a = в a

(8.99)

or equivalently

Л 1

tan A = — tan A

в

-г в cosЛ

(8.100)

/ /і2 cos2A + sin2A

Figure 8.17: Prandtl-Glauert transformation of infinite swept wing.

Applying the previously-derived incompressible solution (8.97) we have

Подпись: (8.101)Cl = Cta a cos Л

Compressible infinite swept wing Подпись: (8.102) (8.103)

and the compressible Cl is then obtained using Gothert’s Rule and the reverse PG transformations.

dCL

да

~ Р ’

Л

х0° (2D)

dCL

cea cos Л

Л –

>90°

да

sin Л ’

so that large sweep angles mitigate compressibility effects, as can be seen by the coalescence of the incom­pressible and compressible curves in Figure 8.18.