MECH 3030 EXAM 1
October 2, 2014 (11:00 11:50 a.m.).
- Closed book and notes.
- Bring your own paper (stapler provided).
- WORK DONE ON THE EXAM SHEET WILL NOT BE GRADED.
- Must be worked in non-erasable ink using a pen.
- Allowed a calculator.
- Allow 1
Problem 3.21
Given:
[Difficulty: 2]
U-tube manometer, partiall filled with water, then a given volume of
Meriam red oil is added to the left side
3
D = 6.35 mm
Voil = 3.25 cm
SGoil = 0.827
(From Table A.1, App. A)
Find:
Equilibrium height, H, when both le
Problem 3.79
Given:
Sphere with different fluids on each side
Find:
Resultant force and direction
[Difficulty: 4]
Solution:
The horizontal and vertical forces due to each fluid are treated separately. For each, the horizontal force is equivalent to that
o
Problem 1.18
[Difficulty: 2]
Given: Basic dimensions F, L, t and T.
Find:
Dimensional representation of quantities below, and typical units in SI and English systems.
Solution:
(a) Power
(b) Pressure
(c) Modulus of elasticity
(d) Angular velocity
Power =
AU-MECH
SPRING 2017
MECH 3 0 3 0
FLUID MECHANICS
SOLUTION TO QUIZ 02
Maximum: 16
Average: 10.08 Minimum: 2.5
Problem 1 (7 pts):
(a) The correct answer is (3) where WEmpty > WFull.
(2 pts)
(b) A certain value of pressure force should be exerted on the inne
AU-MECH
Spring 2017
MECH 3030
FLUID MECHANICS
S O L U T I O N T O Q U I Z 00 (January 13, 10 minutes)
Maximum: 18.5
Average: 14.03
Minimum: 5
Problem 1 (4 Points):
(a) The PV work is determined by multiplying the average pressure inside the lung (P) and t
AU-MECH
Spring 2017
MECH 3030
F L U I D M E C H A N I CS
SOLUTION TO QUIZ 6
Maximum:
Average:
Minimum: .
Problem 1 (4 Points):
The correct answer is the Diameter of the wake behind the object (b). The drag coefficient
for turbulent flow past an object is
AU-MECH
Spring 2017
MECH 3030
FLUID MECHANICS
SOLUTION TO QUIZ 4
Maximum:
Average:
Minimum:
.
Problem 1
a) The mass flow rate of the exhaust air which behaves as a perfect gas:
P
61, 000
kg
(3 pts)
0.5314 3 ;
RT (287)(400)
m
Notice that the gauge pressur
AU-MECH
SPRING 2017
MECH 3030
FLUID MECHANICS
S O L U T I O N T O Q U I Z 01
Maximum: 20 Average:14.87
Minimum:8
Problem 1:
Exploring lava eruption of a volcano, one can identify three (3) forms of
matter, i.e. Solid (rock/ ash/ pumice/ mountain), Liquid
AU-MECH
Spring 2017
MECH 3030
FLUID MECHANICS
SOLUTION TO QUIZ 5
Maximum: 19 Average: 11.34
Minimum: 4
Problem 1:
(a) Streamlines are lines drawn in a flow at a given time instant such that tangent to these lines is the
velocity direction. These streamlin
AU-MECH
SPRING 2017
MECH 3030
FLUID MECHANICS
Q U I Z 7 (April 19, 10 minutes)
Closed Book and Notes.
Work must be done in non-erasable ink.
NAME:_
AU User Name: _
Problem 1A (4 Points):
In order to keep chocolate and caramel in separate layers, during pr
Problem 6.48
[Difficulty: 2]
Given:
Flow in pipe/nozzle device
Find:
Gage pressure needed for flow rate; repeat for inverted
Solution:
Basic equations
p
Q = V A
2
+
V
2
+ g z = const
Assumptions: 1) Incompressible flow 2) Inviscid 3) Steady 4) Along a str
Problem 6.30
[Difficulty: 2]
Given:
Flow in a curved section
Find:
Expression for pressure distribution; plot; V for wall static pressure of 35 kPa
Solution:
Basic equation
n
2
p =
V
R
Assumptions: Steady; frictionless; no body force; constant speed alon
Problem 7.36
Functional relationship between the height of a ball suported by a vertical air jet and other physical parameters
Given:
Find:
Solution:
The terms that characterize this phenomenon
We will use the Buckingham pi-theorem.
1
h
2
Select primary d
AU-MECH
Fall 2015
MECH 3030
F L U I D M E C H A N I CS
SOLUTION TO QUIZ 6
Maximum: 19
Average: 13.67 Minimum: 7 .
Problem 1 (8 Points):
A heat exchanger (radiator) was passed around.
(8 pts)
Problem 2 (12 Points)
(a) The 3x7 dimensional matrix is:
(7 pts)
AU-MECH
FALL 2015
MECH 3030
FLUID MECHANICS
Q U I Z 7 (November 10, 10 minutes)
Maximum:
Average:
Minimum: .
Problem 1 (3 Points): An instantaneous photo of smoke-visualized flow over
a rotating disk is shown here. Fluid flows into the figure and then it
AU-MECH
FALL 2015
MECH 3030
FLUID MECHANICS
S O L U T I O N T O Q U I Z 01
Maximum: 19.5
Average: 11.41
Minimum: 3
Problem 1:
Temporary, sparse and Free-From are properties of fluids (Gases + Liquids). Orderly is attributed
to the molecules of solids, so
AU-MECH
Fall
2015
MECH 3030
FLUID MECHANICS
SOLUTION TO QUIZ 5
Maximum:18
Average: 13.32
Minimum:5
Problem 1:
The correct answer is Streaklines (b) since very fine smoke particles illustrate lines that are
connecting positions of particles that at some pr
AU-MECH
FALL 2015
MECH 3030
FLUID MECHANICS
SOLUTION TO QUIZ 3
Maximum: 19.5
Average: 12.21 Minimum: 4.5
Problem 1 (4 pts)
(a) Linear momentum ( mV ) is an extensive property. Note that extensive properties are
proportional to (or depend on) the amount of
AU-MECH
Fall 2015
MECH 3030
FLUID MECHANICS
S O L U T I O N T O Q U I Z 00 (August 21, 10 minutes)
Maximum: 16.5
Average: 11.5
Minimum: 5.5
Problem 1 (4 Points):
(a) The PV work is determined by multiplying the average pressure within the balloon ( P ) an
AU-MECH
Fall 2015
MECH 3030
FLUID MECHANICS
SOLUTION TO QUIZ 4
Maximum: 20
(a)
Average: 13.45
m A1V1 1000 (
Minimum:2.5 .
kg
m
kg
) (0.12) (m2 ) 3 ( ) 360 ( )
3
m
s
s
(b) Since the problem is steady-state, the term
t
d
(2 pts)
is zero. Thus, the continui
Problem 8.86
Given:
Data on flow through Alaskan pipeline
Find:
Head loss
Solution:
Basic equation
[Difficulty: 2]
2
2
p
p
h
V1
V2
lT
1
2
+
+ z1
+
+ z2 =
= HlT
g
g
2 g
2 g
g
oil
oil
Assumptions: 1) Steady flow 2) Incompressible flow 3) at 1 an
Problem 3.66
Given:
Geometry of gate
Find:
Force at A to hold gate closed
[Difficulty: 3]
y
h
Solution:
Basic equation
Computing equations
D
y
dp
= g
dh
Mz = 0
FR = pc A
FR
Ixx
y' = yc +
A yc
Ixx =
w L
12
FA
3
Assumptions: Static fluid; = constant; patm o
Problem 4.71
Problem 4.89
[Difficulty: 3]
Problem 4.99
[Difficulty: 4]
Given:
Data on flow in wind tunnel
Find:
Mass flow rate in tunnel; Maximum velocity at section 2; Drag on object
Solution:
Basic equations: Continuity, and momentum flux in x direction
Problem 7.56
Given:
[Difficulty: 3]
Find:
Airship is to operate at 20 m/s in air at standard conditions. A 1/20 scale model is to be tested in a wind tunnel at
the same temperature to determine drag.
(a) Criterion needed to obtain dynamic similarity
(b) A
Internal Viscous (Frictional) Flows
One of the problems discussed in Chapter 7 is repeated here.
Pressure Drop in a Pipe
A fluid flows inside a pipeline (diameter D). Can we predict the
pressure change between 2 points separated a distance L?
A. If the fl
Alternate Dimensionless Groupings
For the flow past a cylinder problem discussed above, selecting other
repeating parameters will lead to other dimensionless groupings:
Choices of Repeated Parameters
(V , D, ) (V , D, ) ( D, , ) (V , , )
1
D
D
2
3
FD
V 2