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LoginThe correct formula for the Fourier sine series appearing in the solution of thin airfoil theory is_____
(a) An=\(\frac {2}{\pi }\int_0^{\pi }\frac {dz}{dx}\) cosn∅ d∅
(b) An=\(\frac {1}{\pi }\int_0^{\pi }\frac {dz}{dx}\) cosn∅ d∅
(c) An=\(\frac {2}{\pi }\int_0^{2\pi }\frac {dz}{dx}\) cosn∅ d∅
(d) An=α-\(\frac {1}{\pi }\int_0^{\pi }\frac {dz}{dx}\) cosn∅ d∅
I had been asked this question in my homework.
Query is from The Cambered Airfoil in section Incompressible Flow over Airfoils of Aerodynamics
Aerodynamics Incompressible Flow over Airfoils in Aerodynamics 3 years ago
The CORRECT answer is (a) An=\(\frac {2}{\pi }\int_0^{\pi }\frac {dz}{DX}\) cosn∅ d∅
The explanation is: From the general SOLUTION of thin AIRFOIL theory we have An=\(\frac {2}{\pi }\int_0^{\pi }\frac {dz}{dx}\) cosn∅ d∅ and A0=α-\(\frac {1}{\pi }\int_0^{\pi }\frac {dz}{dx}\) cosn∅ d∅ where the limits are 0≤∅≤π.
Posted on 02 Dec 2021, this text provides information on Aerodynamics related to Incompressible Flow over Airfoils in Aerodynamics. Please note that while accuracy is prioritized, the data presented might not be entirely correct or up-to-date. This information is offered for general knowledge and informational purposes only, and should not be considered as a substitute for professional advice.
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