530.328  Fluid Mechanics II
–
Spring 2009
Homework #1
 review CV linear momentum
 Due date:
Thursday February 5
1. Water flowing into a twodimensional channel of width w=90mm with uniform velocity, U=5
m/s. The channel makes a 90 degree bend to the side that distorts the flow to produce a linear
velocity profile with u
min
= u
max
/3.
(a) Evaluate u
min
and u
max
(b) Evaluate the 2 components of reaction forces needed to keep the channel anchored.
(c) Evaluate the mass flow rate (
ρ
=10
3
kg/m
3
).
2. Water flows through a 4 cm diameter round pipe. The entrance velocity is V
A
=5 m/s, at point
A. There the pressure is p
A
=300 kPa, it encounters a section with uniform radial wall injection of
fluid through small distributed holes, until point B. There, the velocity has increased to V
B
=8 m/s
due to the wall injection. Neglecting wall friction, calculate the pressure at B.
3. A cart with a water tank is propelled by a water (
ρ
=10
3
kg/m
3
) jet at V = 10 m/s and a flowrate
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 Spring '09
 Dr.CharlesMene
 Force, linear velocity profile, horizontal jet velocity

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