Linear Motion

Aerodynamics

(Moving Air )

Fundamentals of Physics

Basic Quantities

Charge - Electro-magneticMatter - Mass

TimeSpace - Length

Combinations of Basics

Velocity =

Density =

Force =

LengthTime

Mass

Length

2

Mass Length

Time

3

Momentum =Time

Mass Length

Derived Quantities

Dimensionality

Energy =Time

Mass Length 2

2

Laws of Physics Observations of the Relations between Derived Quantities

Fundamentals of Aerodynamics (Fluid Dynamics)

Used in Aerodynamics

Velocity =

Density = Force =

LengthTime

Mass

Length 2

Mass Length

Time

3

Momentum =Time

Mass Length

Derived Quantities

Dimensionality

Energy =Time

Mass Length 2

2

Pressure =2

Mass

Length

ForceArea

=

Time

Mass Flow = MassTime

Torque =2

Mass Length

Time

2

Temperature – Basic or Derived ?

Density -> mass and volume

Pressure -> momentum (mass x velocity) Temperature -> kinetic energy (mass x velocity )

2

Conservation Laws Observations of the Relations between Derived Quantities

For any fluid system:

1) Mass is neither created nor destroyed. Conservation of Mass - Continuity

2) Momentum is neither created nor destroyed. Conservation of Momentum (3 directions) 3) Energy is neither created nor destroyed. Conservation of Energy

mass mass mass x velocity

mass x velocity

mass x velocity

mass x velocity 2

2

Mass Flow Rate

r

r

r

Stability – Three Axes

Stability

Forces on an Aircraft

Air

Air

Aircraft

AircraftAir Moves Past the Aircraft

Aircraft Moves Through the Air

Measured Forces Have The Same Value

Equivalent