EAS 4101 - Aerodynamics – Spring 2010
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HW 1
1/12/10, 1
st
Homework
Problem 1:
A jet of water that is declined at an angle
is filling a moving water car.
The water car is
moving away from the jet at a constant velocity
U
and possesses a diameter
D
.
The liquid level
in the car is
( )
h t
.
The jet has a diameter
d
and a uniform velocity
jet
U
.
A frictional force
F
is acting on the car.
Assume that the jet is always filling the car and ignore sloshing.
1.
Draw an appropriate control volume, explicitly stating unit normal vectors and flux areas.
2.
List your assumptions required to solve this problem.
3.
What are the pressure boundary conditions on your control volume?
4.
What is the time rate of change of the liquid level?
5.
What is the thrust force acting on the car by the jet of water?
6.
What is the frictional force acting on the car?
F
U
D
d
jet
U
( )
h t

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