A two-dimensional analysis on the flight of 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 the flight of the airfoil is the drag force (F), lift force (F) and the two other variable forces (FN and F) acting normal and axial on the airfoil. The lift force (F) on the airfoil is a function of FN R FL -FD a FA its length L, velocity V, diameter D, angle of attack a, density p, viscosity µ, 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 T_ as repeating a variables.
A two-dimensional analysis on the flight of 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 the flight of the airfoil is the drag force (F), lift force (F) and the two other variable forces (FN and F) acting normal and axial on the airfoil. The lift force (F) on the airfoil is a function of FN R FL -FD a FA its length L, velocity V, diameter D, angle of attack a, density p, viscosity µ, 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 T_ as repeating a variables.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:A two-dimensional analysis on the flight
of 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 the flight of the airfoil is
the drag force (F), lift force (F) and the
two other variable forces (FN and F)
FN
R
FL
- FD
a
FA
Vo
acting normal and axial on the airfoil. The
lift force (F) on the airfoil is a function of
its length L, velocity V, diameter D, angle of attack a, density p, viscosity µ, 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 T as repeating
a
variables.
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