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 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 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 Cis 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.

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 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 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 Cis 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.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

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Fluid Kinematics

The branch of science that deals with objects which are either in motion or stationary are studied under the branch of classical mechanics. Fluid mechanics is a subcategory of classical mechanics that deals with the behavior of fluids at rest (fluid statics) or in motion (posing some velocity). In fluid kinematics, studies focus on the associated motion of fluid particles or groups of particles, and its associated parameters like displacements, velocity, and acceleration without concerning about the forces that caused the motion. All the laws of classical mechanics are applied in the study of fluid kinematics.

Question

A two-dimensional analysis on the flight of
FN
FL
R
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 µ, and speed of sound c of the air (i.e. FL = 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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