Aero

Incompressible flow

Cp

Ideal angle of attack

A0 = 0.

Lift per unit span

Induced drag per unit span

Irrotflow

Circulation vs Vorticity

Circ - Total fluid rotation around a close path. How closely it follows set path.

Vorticity - Local tendancy of fluid element to spin.

Circulation

How to differentiate a wing with and without twist

No twist:
Circ(theta,alpha) = (alpha-alpha_L=0)*f(theta)

Twist:
Circ(theta,alpha) = (alpha-alpha_L=0)*f(theta) + g(theta)

Theta can be switched with y.

AOT effective

Alpha_eff = alpha - alpha_i

material/substantial derivative

Aero center deffinition

Cm,x not a function of AOT

Center of Pressure deffinition

Sum of moments about this point = 0

Drag from a wake survey

Steady, inviscid, incompressible, in abssence of body forces

4 types of flows

Stream function

Potential function

Calc 2 stuff

Continuity equation integral

Continuity equation substantial derrivative and differential form

1. Integral form

2. Differential form

3. Substantial derivative form

Airfoil theory

Approx solution of a potential flow that is attached at a high Re. Small values of chamber, thickness and AOT.

Airfoil theory primary definitions

Gamma

Kutta condition

Pressure difference

If delta p = 0, gamma =0

Induced velocity of a straight vortex filament segment AB at point P (Biot-Savart)

Lift slope