Question

Select the statement which is not true for the solution of \(\frac {1}{2\pi } \int_0^c \frac {\gamma(\xi)d\xi}{x-\xi}\)=V∞(α-\(\frac {dz}{dx}\)) for a cambered airfoil.

(a) An depends on chord length of the airfoil

(b) A0 depends on the slope of the camber line

(c) An depends on the slope of the camber line

(d) A0 depends on the angle of attack

This question was posed to me by my school teacher while I was bunking the class.

My doubt is from The Cambered Airfoil in section Incompressible Flow over Airfoils of Aerodynamics

Answer 1

Correct option is (a) An depends on chord length of the airfoil

To explain I would say: The given equation is the fundamental equation of thin airfoil theory. For a cambered airfoil, the solution is in the form γ(θ)=2V∞(A0\(\frac {1+cos\theta }{sin⁡\theta }\) + Σ\(_{n=1}^∞\)sin⁡ nθ An) where An depends on the slope of camber line and A0 depend both on the slope of camber line and angle of attack.