An airplane wing is subjected to a lift force (F) created by the airflow over its...

 

Transcribed Image Text:

An airplane wing is subjected to a lift force (F₁) created by the airflow over its surface. This force is a function of the density (p) and viscosity of the air (u), the chord length (L) of the wing, the airplane velocity (V), the speed of sound (c) and the angle of attack (a). [Note that radian, the unit of a, is M°LỌT]. f(V, L. P. H. c. a) Using the Buckingham's pi theorem, develop the dimensionless parameters (TIS) that relate all these variables. Use p, V, and Las repeating variables. Hence, Fd, cand a are non-repeating. [25 %] An airplane wing is subjected to a lift force (F₁) created by the airflow over its surface. This force is a function of the density (p) and viscosity of the air (u), the chord length (L) of the wing, the airplane velocity (V), the speed of sound (c) and the angle of attack (a). [Note that radian, the unit of a, is M°LỌT]. f(V, L. P. H. c. a) Using the Buckingham's pi theorem, develop the dimensionless parameters (TIS) that relate all these variables. Use p, V, and Las repeating variables. Hence, Fd, cand a are non-repeating. [25 %]

Answer rating: 100% (QA)

Buckinghams Pi theorem is a method in dimensional analysis used to determine the dimensionless param... View the full answer