Problem 2.41
[Difficulty: 2]
Given:
Velocity distribution between parallel plates
Find:
Force on lower plate
Solution:
Basic equations
du
dy
so
du
yx =
dy
F = yx A
=
d
dy
yx =
u max 1
8 u max y
h
A
Final exam: 7:00 AM 9:00 AM, Tuesday, April 29, 2014
Dr. Tians recent extended office hours (extra office hours in the following weeks will be updated
later)
10:301:00 Tuesday, April 15
11:301:00 Th
EML 3701 Final Exam
NAME_
EML 3701 Fluid Mechanics I
Final Exam A Spring 2014
Closed books & notes. No equation sheets.
No smartphones/tablets/computers are allowed.
Standalone calculators are allowe
Problem 2.1
Given:
Velocity fields
Find:
[1]
Whether flows are 1, 2 or 3D, steady or unsteady.
Solution:
(1)
(2)
(3)
(4)
(5)
(6)
(7)
(8)
V
V
V
V
V
V
V
V
=V
=V
=V
=V
=V
=V
=V
=V
( y)
1D
( x)
1D
( x , y
Chapter 1 Introduction
1.1 A gas at 20C may be rarefied if it contains less than 1012 molecules per mm3. If
Avogadros number is 6.023E23 molecules per mole, what air pressure does this represent?
Solu
Problem 3.1
[2]
Given:
Data on nitrogen tank
Find:
Mass of nitrogen; minimum required wall thickness
Solution:
Assuming ideal gas behavior:
p V = MRT
where, from Table A.6, for nitrogen
R = 297
Then t
,y 
,

ft r1Mrd
.
to r<eer w door
I  
t
~(p~fJ.
~ if
r~

L
~ J
ft
~
T ill~ ~r~oMet.fs Plod .pol~
o.k
J
A
\
2.f'I1A= L ft  Fr<. ( L 1 )=0
:'>
f l =
fR= ~c. A
frz:?
Pc =
f~ ( I 
fb +
Problem 1
Given: u(y)
At
=
and U = 2.5m/s
entrance
and at the exit
Set w=1m
Therefore
Simplifying
=
Problem 2
Very similar to problem 1 (in this case umax is given as 3m/s and the pipe has a circular
EML 3701 Fluid Mechanics Fall, 2012
Midterm Exam I (closed book 8: notes) Name:
1. (10 pts) Answer the following conceptual questions briey:
a. (2 pts) What is the dening feature of uids? y
b. (3
EML 3701 HW #2
DUE 11:59 PM, MONDAY, OCT. 6
Full points: 100; Weight: 3.75%
Only submission through Webcourses2 in PDF format is accepted.
Submission through Email is not accepted.
Late assignments ar
Problem 2.56
[Difficulty: 2]
15 points
Given:
Flow between two plates
Find:
Force to move upper plate; Interface velocity
Solution:
The shear stress is the same throughout (the velocity gradients are
Problem 2.43
[Difficulty: 2]
15 points.
Given: Velocity profile
Find:
Plot of velocity profile; shear stress on surface
Solution:
2
h y y sin( )
u=
2
2
g
The velocity profile is
u
Hence we can pl
Problem 2.40
[Difficulty: 2]
15 points.
Given:
Velocity distribution between flat plates
Find:
Shear stress on upper plate; Sketch stress distribution
Solution:
Basic equation
du
yx =
dy
yx =
At the
Problem 2.10
[Difficulty: 2]
15 Points
Given:
Velocity field
Find:
Equation for streamline through (1,3)
Solution:
For streamlines
u
So, separating variables
dy
y
Integrating
y
A
v
=
=
dy
dx
3 points
EML 3701 HW #3
DUE 1159 PM, WEDNESDAY, OCT. 15
Full points: 100; Weight: 5.5 %.
Only submission through Webcourses2 in PDF format is accepted.
Late assignments are not accepted.
1. Water enters a wide
EML 3701 Fluid Mechanics Fall, 2012
Midterm Exam II (closed book 8: notes) Name: .
a _ _ I7
Reynolds Transport Theorem: = m qudl/ + I qpu  (M
'9': am 6 cv es _{/ L
1. (10 points) A thin layer of
Sample problems for closed book/notes exam
EML 3701
1. Answer the following conceptual questions briefly:
a. What is the defining feature of fluids?
b. Find the unit of uL/, where is mass density, u i
Problem 2.2
Given:
Velocity fields
Find:
[Difficulty: 1]
Whether flows are 1, 2 or 3D, steady or unsteady.
Solution:
(1)
(2)
(3)
(4)
(5)
(6)
(7)
(8)
V = V ( y)
V = V ( x)
V = V ( x , y)
V = V
Consider the ow of an incompressible uid between two parallel plates separated by a distance 2H. If the velocity
prole is given by:
2
cfw_13
where a: is the centerline velocity, determine the average