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What is the total circulation around the symmetric airfoil according to the thin airfoil theory?(a) Γ=πα^2cV∞(b) Γ=π^2αcV∞(c) Γ=2παcV∞(d) Γ=παcV∞I had been asked this question at a job interview.Question is from The Symmetric Airfoil in section Incompressible Flow over Airfoils of Aerodynamics

Answer»

The correct answer is (d) Γ=παcV∞

Explanation: The total circulation around the SYMMETRIC airfoil can be found by integrating the TRANSFORMED SOLUTION γ(θ)=2αV∞\(\FRAC {1+cos\theta }{sin⁡\theta }\) using ξ=\(\frac {c}{2}\)(1-cosθ)er 0≤θ≤π i.e. Γ=\(\int_0^c\)γ(ξ)dξ=παcV∞.



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