18.08.2013 Views

Download - NASA

Download - NASA

Download - NASA

SHOW MORE
SHOW LESS

You also want an ePaper? Increase the reach of your titles

YUMPU automatically turns print PDFs into web optimized ePapers that Google loves.

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

Hooray! Your file is uploaded and ready to be published.

Saved successfully!

Ooh no, something went wrong!