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Use g = 9.807 m/s² = 32.17 ft/s² and ywater = 9790 N/m³ = 62.4 lb/ft³ FL 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 FA) 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. F₂ = f(L, V, D, α, 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 Ta a significant variable in the function of the lift force? Use p, V, D and T as repeating variables. a Voo α FA FN R FD

Use g = 9.807 m/s² = 32.17 ft/s² and ywater = 9790 N/m³ = 62.4 lb/ft³ FL 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 FA) 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. F₂ = f(L, V, D, α, 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 Ta a significant variable in the function of the lift force? Use p, V, D and T as repeating variables. a Voo α FA FN R FD

Structural Analysis
Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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TOPIC: FLUID MECHANICS - Dimensional Analysis and Similitude

Answer the question neatly and completely. Provide what is needed

Use g = 9.807 m/s? = 32.17 ft/s? and ywater = 9790 N/m3 = 62.4 Ib/ft³ 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 Fa) FN R F1 FD FA V∞ 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. F̟ = 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 а variables.
Transcribed Image Text:Use g = 9.807 m/s? = 32.17 ft/s? and ywater = 9790 N/m3 = 62.4 Ib/ft³ 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 Fa) FN R F1 FD FA V∞ 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. F̟ = 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 а variables.
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