Question

For γ(θ)=2V∞(A0\(\frac {1+cos\theta }{sin⁡\theta }\) + Σ\(_{n=1}^∞\)sin⁡ nθ An) select the statement which is invalid.

(a) The solution is valid only for cambered airfoils

(b) The solution is valid for all thin airfoils

(c) A0 Is the n=0^th term for the Fourier series

(d) Kutta condition is satisfied at the trailing edge i.e. θ=π.

This question was posed to me in quiz.

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

Answer 1

The correct choice is (a) The solution is valid only for cambered airfoils

Easy explanation: The solution is valid for all thin airfoils (for symmetric airfoils \(\frac {dz}{dx}\)=0 which makes An=0 and gives the required solution). This is the general solution. Kutta condition is also satisfied (γ(π)=0).