MAE 113 – Fundamentals of Propulsion
Homework Assignment 5
Winter, 2011
Due: Thursday, February 17
th
in Class
Page 1 of 2
Problem 1
Air enters a constantarea duct at
M
1
= 3,
P
1
= 1 atm, and
T
1
= 300 K. Inside the duct, the heat added per
unit mass is
q
= 3 x 10
5
J/kg. Assume the flow is steady.
(a)
Calculate the flow properties
M
2
, P
2
, T
2
,
2
, T
02
and
P
02
at the exit of the duct.
(b)
How much heat per unit mass must be added to choke the flow?
Problem 2
Consider the flow of air through a pipe of inside diameter = 0.15 m and length = 30 m. The inlet flow
conditions are
M
1
= 0.3,
P
1
= 1 atm, and
T
1
= 273K. Assuming
2
0
/ (1/ 2
)
f
c
u
= const = 0.005, where
0
is the wall shear stress, calculate the flow conditions at the ext:
M
2
, P
2
, T
2
and
P
02
.
Assume the flow is
steady with no heat addition.
Problem 3
A normal shock wave is standing in the test section of a supersonic wind tunnel. Upstream of the wave,
M
1
= 3,
P
1
= 0.5 atm, and
T
1
= 200 K. Find
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 Spring '08
 staff
 Fluid Dynamics, Aerodynamics, Shockwave, Mach number, Shock wave, Supersonic, Pitot tube

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