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Basic Aerodynamics I
MAE 2
Continuity Equation
Incompressible Flow
Momentum Equation
Euler and Bernoulli
Isentropic Flow
Speed of Sound
Energy Equation
LowSpeed Wind Tunnels
LowSpeed Wind Tunnel circa 1916
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MAE 2
Stream Tubes and Lines
A stream tube
does not have to be bounded by a solid wall.
The natural flow of fluid may be such that an imaginary tube can be drawn within the flow.
Tube boundaries are formed by streamlines
in the flow.
This approximation assumes that fluid does not cross a streamline.
Arrows, representing the path of individual fluid particles, do not
cross the streamlines that form the boundary of the stream tube.
3
MAE 2
Continuity Equation
Mass flow
represents the mass of air passing through an area per unit time.
Typical units:
kg/sec or slug/sec
dm
dt
=
˙
m
=
AV
m
=
mass
t
=
time
=
density
A
=
cross section area
V
=
velocity
speed
Continuity says:
“What goes in one end must come out the other end.”
In other words:
the mass flow IN should equal the mass flow OUT
˙
m
1
=
˙
m
2
1
A
1
V
1
=
2
A
2
V
2
subscript 1 = inflow end of stream tube
subscript 2 = outflow end of stream tube
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MAE 2
Incompressible Flow
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This note was uploaded on 01/05/2011 for the course MAE 2 taught by Professor Nomura,k during the Fall '08 term at UCSD.
 Fall '08
 Nomura,K

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