HW4 Solution
480
Solution
For a given velocity field we are to calculate the vorticity.
Analysis
The velocity field is
V u, v, w 2.49 1.36 x 0.867 y i 1.95x 1.36 y j 0.458xy k
(1)
In Cartesian coordinates, the vorticity vector is
Vorticity vector in Cart
l 1 1

fu
la ti t u
At 45
1 26
9 80 7
=
a
w h ere
e lev atio n
o f
n c tio n
d e
2
th e h e i g h t a b o v e se a l e
de c r e a s e
r e n t
p e c
b y
T he
1 27

gr a v
.
(i n
s
g
) D e te w
ity
v e l
lev e l
o f
th e
sp e e d

o f
W n e th e n e t f
at
D
v
3

a
e ter m i
n e
8
The
su r e
= =
l o c a ti o n
is
0 2
.
w ater
,
th e
he r e
w
a
bs o l u
w a ter
in
m ea su re
d
m
o
l2
,
il
= =
.
an d
,
0 3
te
a
b y
th e
atm o s
p
p r e ssu r e
tan
k is
an d
,
m ercu
l
i
:
to
rr
.
in
p r e ssu r e
t he c
h
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For the solution of 374, I personally think l (for the calculation of A) should be 6 m instead
of 3 m, which results in the 2370 N. Anyway, I did not take points for any way of
calculation.
Process Fluid Mechanics
CENG 2220
Homework Set 7 Due on May 13th, 2016 before 8 pm
Drop off during tutorial or in the designated drop box in front of the Mechanical
Engineering general office (room 2568 near Lift 2728)
Problems from the required textbook
Process Fluid Mechanics
CENG 2220
Homework Set 3 Due on March 18th, 2016 before 8 pm
Drop off during tutorial or in the designated drop box in front of the Mechanical
Engineering general office (room 2568 near Lift 2728)
Problems from the required textbo
Process Fluid Mechanics
CENG 2220
Homework Set 1 Due on March 4th 2016 on or before 8 pm
Drop off in the designated drop box in front of the Mechanical Engineering general
office (room 2568 near Lift 2728)
Problems from the required textbook
1.57 page 35
HW5 Solution
515
Solution
Air is expanded and is accelerated as it is heated by a hair dryer of constant diameter. The percent
increase in the velocity of air as it flows through the drier is to be determined.
Assumptions
Flow through the nozzle is stead
HW7 Solution
723
Solution
We are to determine the primary dimensions of the first three additive terms, and we are to verify that
those terms are dimensionally homogeneous. Then we are to evaluate the dimensions of the adsorption coefficient.
Analysis
Th
HW6 Solution
591
Solution
An entrepreneur is to build a large reservoir above the lake level, and pump water from the lake to
the reservoir at night using cheap power, and let the water flow from the reservoir back to the lake during the day,
producing p
Process Fluid Mechanics
CENG 2220
Homework Set 5 Due on April 29th, 2016 before 8 pm
Drop off during tutorial or in the designated drop box in front of the Mechanical
Engineering general office (room 2568 near Lift 2728)
This homework contains a total of
Process Fluid Mechanics
CENG 2220
Homework Set 4 Due on March 25th, 2016 before 8 pm
Drop off during tutorial or in the designated drop box in front of the Mechanical
Engineering general office (room 2568 near Lift 2728)
There are total of 7 problems.
Pr
1 I I m; A
55
Solution A house is to be cooled by drawing in cool night time air continuously. For a specied air exchange rate,
the required ow rate of the fan and the average discharge speed of air are to be determined.
Assumptions Flow through the fan i