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MET330 20xx0xE Applied Fluid Mechanics
Instructor: Francis Baker
Unit 2 Software Problem Assignment – 1a
I pledge to support the Honor System of ECPI. I will refrain from any form of academic
dishonesty or deception, such as cheating or plagiarism. I am aware that as a member of the
academic community, it is my responsibility to turn in all suspected violators of the honor code. I understand that any failure on my part to support the Honor System will be turned over to a
Judicial Review Board for determination. I will report to the Judicial Review Board hearing if
summoned.
Software Problem Assignment
a.
Identify and list
all variables from the problem. Include all units.
b.
W
rite the equation(s) you will use that are found in the textbook
. Do not use any other equations.
Page 1
c.
Clearly identify your answer with correct units
.
Your Velocity Profile should look like the image below.
PROBLEM 1a
Design an Excel spreadsheet for computing points on the velocity profile in a pipe for laminar flow using the equation Eq. (9–1) U
=
2
ν
⌊
1
−
(
r
r
0
)
2
⌋
Where, U = local velocity at radius r (m/s), r
o
= maximum radius (mm) v = average velocity (m/s) Page 2
The average velocity will be calculated from the volume flow rate Q (L/min) and the dimensions of the pipe, namely, the outside diameter OD and the thickness t
. Then, plot the curve for velocity versus radius. Use radial increment of 4.00mm and make sure to include the centerline as the last number.
Use this spreadsheet to solve problem 1a (9.3 in the textbook. NOTE
: Increments changed from 8.00mm to 4.00mm).
Problem 1a:
Compute points on the velocity profile from the tube wall to the centerline of a plastic pipe, 125mm OD × 7.40mm wall, if the volume flow rate of gasoline (sg = 0.68) at 25
C is 3.0 L/min. Use increments of 4.00mm and include the velocity at the centerline. Page 3
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