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Due:
In class, Friday
December 14, 2007
(see note below)
Name
For instructor or TA use only:
Problem
Score
Points
1
25
2
25
3
25
4
10
5
15
ME 521
Fall Semester, 2007
Homework Set # 12
Professor J. M. Cimbala
NOTE
: Must be turned in no later than 5:00 p.m. in Prof. Cimbala’s office.
Late homework after 5:00 p.m. on Friday will not be accepted, since this is the
last homework set of the semester, and the TA will grade it over the weekend.
Solutions will be posted on Friday at 5:00 p.m.
Total:
100
1
. (25 pts)
Text problem 9.1
(plus additional parts).
Note
: Kundu says to make the
y
axis point towards the plane, which
would make a lefthanded coordinate system. Instead, let
x
be the flow direction and let
y
be normal to
x
, away from the
plane (a proper righthanded coordinate system). Use the “real” pressure, not Kundu’s modified pressure (in other words,
keep the gravity term explicitly in the problem). Let the pressure just outside the free surface of the fluid be
p
a
where we
know that
0
sin
aa a
i
r
pp
ρ
gx
θ
=+
due to hydrostatic atmospheric pressure. (
0
a
p
is the atmospheric pressure at
x
= 0,
y
=
h
,
where
x
= 0 is some arbitrary location in the problem.) For consistency let
ρ
be the density of the falling fluid, and let
air
be
the density of the air. Do the following parts:
(
a
)
Generate an expression for the
y
component of velocity
v
.
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 Fall '07
 CIMBALA

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