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Wing 113<br />
13-3.1 Lift<br />
The wing lift is defined in terms of lift-curve slope CLα and maximum lift coefficient CLmax (based<br />
on wing planform area). The three-dimensional lift-curve slope is input directly or calculated from the<br />
two-dimensional lift-curve slope:<br />
CLα =<br />
cℓα<br />
1+cℓα(1 + τ)/(πAR)<br />
where τ accounts for non-elliptical loading. The effective angle-of-attack is αe = αwing + i − αzl, where<br />
αzl is the angle of zero lift; in reverse flow (|αe| > 90), αe ← αe − 180 signαe. Let αmax = CLmax/CLα be<br />
the angle-of-attack increment (above or below zero lift angle) for maximum lift. Including the change of<br />
maximum lift angle caused by control deflection, Amax = αmax +Δαmaxf and Amin = −αmax +Δαmaxf.<br />
Then<br />
⎧<br />
CLααe +ΔCLf<br />
Amin ≤ αe ≤ Amax<br />
<br />
⎪⎨<br />
π/2 −|αe|<br />
(CLαAmax +ΔCLf )<br />
αe >Amax<br />
CL =<br />
π/2 −|Amax|<br />
<br />
⎪⎩<br />
π/2 −|αe|<br />
(CLαAmin +ΔCLf )<br />
αe 90), αe ← αe −180 signαe. For angles of attack less than a transition angle αt, the drag coefficient<br />
equals the forward-flight (minimum) drag CD0 plus an angle-of-attack term and the control increment.<br />
If the angle-of-attack is greater than a separation angle αs αs; and otherwise<br />
CDt = CD0 (1 + Kd|αt| Xd + Ks(|αt|−αs) Xs )+ΔCDf<br />
<br />
π |αe|−αt<br />
CDp = CDt +(CDV − CDt) sin<br />
2 π/2 − αt