1.

The equation \(\frac {1}{2\pi } \int_0^c \frac {\gamma(\xi)d\xi}{x-\xi}\)=V∞α is called the fundamental equation of thin airfoil theory for______(a) Cambered airfoils only(b) Symmetric airfoils only(c) All thin airfoils(d) Symmetric and positively cambered airfoilsI got this question by my college director while I was bunking the class.I need to ask this question from The Cambered Airfoil in portion Incompressible Flow over Airfoils of Aerodynamics

Answer»

Correct CHOICE is (b) Symmetric airfoils only

To elaborate: The original FUNDAMENTAL equation of thin airfoil THEORY is \(\frac {1}{2\pi } \int_0^c \frac {\gamma(\XI)d\xi}{x-\xi}\)=V∞(α-\(\frac {dz}{dx}\)). For the symmetric airfoils, \(\frac {dz}{dx}\)=0 and so \(\frac {1}{2\pi } \int_0^c \frac {\gamma(\xi)d\xi}{x-\xi}\)=V∞α is valid. While for the cambered airfoils \(\frac {dz}{dx}\) is non-zero.


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