Faculty of Applied Sciences
THERMODYNAMICS AND FLUID MECHANICS
Assignment 1 of 1
Important Information
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he University Infringement of
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r originality which can include use of an electronic plagiarism detection service.
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nother student
access to your work.
Please ensure that you retain a duplicate of your assignment. We are required to send samples of
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going astray.
Submission Date and Time
Before 4pm,
Tues
day
6
th
May
201
4
Submission Location
St Peters Campus
Page
2
of
3
Note:
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You must attempt ALL questions.
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Pay particular attention to UNITS in the questions.
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Marks will be deducted for untidy or inel
igible work.
?
This assignment contributes 50% to the overall module mark.
Q1
A pipe with a bore of 1.60 mm and length 240 mm carries liquid of dynamic viscosity 2.20 mPa s
and density 870 kg/m
3
at a volume flow rate of 0.642 cm
3
/s.
(a)
Calculate t
he mean velo
city
.
(
2
)
(b)
Explain
whether the flow is laminar or turbulent.
(2)
(c)
Using a Moody chart estimate
the friction factor
f
.
(2)
(d)
Calculate t
he pressure drop along the pipe, in terms of both pressure head (in m) and Pa
.
(4
)
Q2
A pipe ha
s internal diameter 40 mm, a length of 3.80 m and an effective internal surface roughness
of 0.01 mm. The Reynolds number for the flow is 300,000. Use a Moody chart to estimate the
friction factor
f
for the pipe.
(4)
Q3
A wrought
–
iron pipe has an
internal diameter of 25 mm
, an effective internal surface roughness of
0.05 mm
and length of 5.0 m
,
with water flowing at a mean velocity of
1
m/s
.
(a)
Using a Moody chart estimate
the
friction factor
f
.
(3
)
(b)
Calculate t
he pressure drop along the pipe, in
Pa.
(
3
)
Q4
A pipe of diameter 20 mm carries flowing liquid, of density 800 kg/m
3
, at a mean velocity
u
1
= 1.8
m/s
, through a sudden expansion into a pipe of diameter 32 mm
. Calculate:
(a)
T
he
pressure loss coefficient (
k
value)
.
(
3
)
(b)
T
he pressure d
rop
caused by the expansion
, in Pa.
(3
)
Q5
In your own words and using an appropriate sketch/diagram, explain how Bernoulli’s equation can
be represented visually by using a hydraulic grade line (HGL) and an energy grade line (EGL). Cite
any sources
used to inform your answer.
(6)
Page
3
of
3
Q6
The water tank shown in figure
Q6
empties by gravity into another tank, through a horizontal pipe
as shown. Both tanks are open to the atmosphere. At a certain time the difference in levels is 4 m.
Each pipe has
a friction coefficient
f
= 0.03 and minor loss coefficients
k
are shown. Calculate the
volumetric flow rate through the connecting pipe.
(8
)
Figure Q
6
4 m
30 mm bore, 3 m long
60 mm bore, 2 m
long
2
2
2
1
1
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d
d
k
2
.
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k
1
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k
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