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AERODYNAMICSDane Johannessen
Overview
Aerodynamics
What are the forces?
How do these forces affect flight?
What factors affect these forces?
What is Aerodynamics?
The study of forces acting on an object in motion as it passes through air.
Laws of Motion
Objects in motion stay in motion
Force is the change in momentum with respect to time For constant mass
For every action there is an equal and opposite reaction
What are the forces?
Lift
Drag
Weight
Thrust
The vertical forces pushing up on a body during flight.
General Equation: L = Lift Force ρ = density v = velociy A = area Cl = Lift coefficient that is usually determined
experimentally
Lift
Lift in Air Foils
Based on pressure differences (Bernoulli’s Principle) Top
Higher velocity and decreased pressure Bottom
Lower velocity increased pressure http://www.youtube.com/watch?v=zV06PgxarW0
Factors Affecting Lift
Factors Shape of object
Higher curve = greater lift Size of the object
L = constant x A Velocity of the object
L = constant x v² Properties of the air
L = constant x ρ Angle of attack
Increased angle = increased lift
Demonstration
For more information on paper airplanes Go here http://www.paperairplaneshq.com/
Drag
Drag is the force that acts in the same direction as airflow
General Equation: Fd = Drag Force ρ = density v = velocity A = area Cd = Drag Coefficient that is usually
determined experimentally
How Shape Affects Drag
Different shapes of the same frontal area lead to different drag coefficients:
Lift to Drag Ratio
General Equation:
Weight
Weight is the force on an object due to gravity Based on mass and gravitational acceleration General Equation:
W = Weight Force m = mass g = gravity
Thrust
Thrust is the force that propels an object through air
General Equation: F = thrust force t = time m = mass v = velocity ṁ = mass flow rate
ṁ = ρvA
Thrust
Producers of thrust Propellers Fans in jet engines Hot gases from rocket engines
Main thing to take away Thrust must be greater than weight
Thrust to Weight Ratio
General Equation:
If F/W is high High acceleration High Climb rate
If F/W > 1.0 Acceleration can be vertical
Summary
Aerodynamics 4 Forces on a plane
Lift Dependent on shape, size, velocity, air, angle
Drag Dependent on shape
Weight Thrust
Lift > Drag Thrust > Weight
Sources
Helpful Websites
http://www.nasa.gov/audience/forstudents/k-4/stories/what-is-aerodynamics-k4.html
http://www.grc.nasa.gov/WWW/k-12/airplane/topics.htm
http://www.paperairplaneshq.com/
Questions?
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