EAS 4101 solutions by Damian Ricci and Mark Sheplak
1
HW 1
Problem 1
Given:
A jet of water issuing into a moving cart, declined at an angle
as shown.
Find:
1.
Draw the appropriate control volume, explicity stating unit normal vetors
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?
Schematic:
F
U
D
d
jet
U
( )
h t
Control Volume (a)
Control Volume (b)
Basic Eqns:
Integral form of the continuity equation:
0
d V
t
CV
CS
V dA
Integral form of the momentum equation:
CV
CS
F
VdV
V V dA
t
Assumptions:
a)
Incompressible flow
b)
Inviscid flow
c)
Flow in cart has no velocity relative to CV

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