A two-dimensional analysis on the flight of FL FN an airfoil is shown in the figure. The airfoil shape is traveling at a certain velocity and meets the incoming airflow at an angle of attack a. As shown, the forces affecting FD the flight of the airfoil is the drag force a FA (FD), lift force (F) and the two other Voo variable forces (FN and FA) acting normal and axial on the airfoil. The lift force (FL) on the airfoil is a function of its length L, velocity V, diameter D, angle of attack a, density p, viscosity u, and speed of sound c of the air (i.e. FL = f(L, V, D, a, p, u, c). Use dimensional analysis to show that the lift coefficient C is a function of a set of dimensionless parameters. Also, is air temperature T, a significant variable in the function of the lift force? Use p,V, D and Ta as repeating variables.

Structural Analysis
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Chapter2: Loads On Structures
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FN
R
A two-dimensional analysis on the flight of
FL
an airfoil is shown in the figure. The airfoil
shape is traveling at a certain velocity and
meets the incoming airflow at an angle of
attack a. As shown, the forces affecting
FD
the flight of the airfoil is the drag force
(FD), lift force (F) and the two other
a
FA
Voo
variable forces (FN and FA) acting normal
and axial on the airfoil. The lift force (Fi)
on the airfoil is a function of its length L, velocity V, diameter D, angle of attack a, density p,
viscosity u, and speed of sound c of the air (i.e. F = f(L, V, D, a, p, µ, c). Use dimensional
analysis to show that the lift coefficient C is a function of a set of dimensionless parameters.
Also, is air temperature T, a significant variable in the function of the lift force? Use
p,V, D and Ta as repeating variables.
Transcribed Image Text:FN R A two-dimensional analysis on the flight of FL an airfoil is shown in the figure. The airfoil shape is traveling at a certain velocity and meets the incoming airflow at an angle of attack a. As shown, the forces affecting FD the flight of the airfoil is the drag force (FD), lift force (F) and the two other a FA Voo variable forces (FN and FA) acting normal and axial on the airfoil. The lift force (Fi) on the airfoil is a function of its length L, velocity V, diameter D, angle of attack a, density p, viscosity u, and speed of sound c of the air (i.e. F = f(L, V, D, a, p, µ, c). Use dimensional analysis to show that the lift coefficient C is a function of a set of dimensionless parameters. Also, is air temperature T, a significant variable in the function of the lift force? Use p,V, D and Ta as repeating variables.
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