MECH 3050 HW: Uncertainty
Due: 9/4/17
The diameter of a random sample of shafts was measured. The average diameter of the
twenty shafts was found to be 106.9471 mm and the standard deviation of the sa
AU-MECH
Fall 2017
MECH 3030
FLUID MECHANICS
SOLUTION TO QUIZ 5
Maximum:20
Average:12.63
Minimum: 0
.
Problem 1 A pasta measuring tool is shown here. The pasta bundles
suggested for serving a horse can
AU-MECH
FALL 2 0 1 7
MECH 3030
FLUID MECHANICS
S O L U T I O N T O Q U I Z 01
Maximum: 20
Average:14.52
Minimum:5
Problem 1:
Richard P. Feynman (1965 Physics Nobel Laureate) stated that if only one se
AU-MECH
Fall 2017
MECH 3030
F L U I D M E C H A N I CS
SOLUTION TO QUIZ 7
Maximum:20
Average:12.55
Minimum: 4 .
Problem 1 (20 Points):
For illustration purposes, only one case will be solved in great
AU-MECH
Fall 2017
MECH 3030
FLUID MECHANICS
SOLUTION TO QUIZ 4
Maximum:19.5
Average: 10.59
Minimum: 1
.
Problem 1
The ONLY appropriate CV that is shown below will cover cross sections at 1 and 2 and i
AU-MECH
Fall
2017
MECH 3 0 3 0
FLUID MECHANICS
SOLUTION TO QUIZ 02
Maximum: 20
Average: 13.42 Minimum: 3.5
Problem 1 (5 pts):
(a) The hydrostatic pressure difference, p , can be obtained as:
kg
m
) 1
Static, Stagnation (Total) and Dynamic Pressures
Pfluid Patm M gH
Density is that of
the manometr.
Static Pressure: Pressure of a moving fluid is its
V , fluid , Pfluid
Static Pressure.
Consider a sim
Bernoullis Equation (normal to
streamlines, i.e. n-direction)
Newtons Second Law in the
DVn
n-direction:
Fn m
.
Dt
DVn
p dn
p dn
(p
)(dsdx) ( p
)(dsdx) g cos dndsdx dndsdx
.
n 2
n 2
Dt
dz dn cos ,
Si
Properties of Arbitrary Volumes
Differential Volumes ( d) and Differential Areas (dA )
An arbitrary volume ( ) occupying part of the space is
shown here.
The volume consists of a great number of small
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
Dimensional Analysis and Similitude
Pressure Drop in a Pipe
A fluid is transported inside a
pipeline with diameter D.
Can we predict the pressure
change between two points
separated with a length equa
AU-MECH
FALL 2017
MECH 3030
FLUID MECHANICS
S O L U T I O N T O Q U I Z 00 (August 2, 10 minutes)
Maximum: 20
Average: 18.75
Minimum: 10
Problem 1 (4 Points):
(a) The PV work is determined by multiply
AU-MECH
Fall
2017
MECH 3 0 3 0
FLUID MECHANICS
SOLUTION TO QUIZ 03
Maximum: 20
Average: 16.59 Minimum:12
Problem 1 (5 Points): Both Lagrangian and Eulerian analyses are concerned with changes of
flow-
AU-MECH
Fall 2017
MECH 3030
F L U I D M E C H A N I CS
SOLUTION TO QUIZ 6
Maximum:20
Average:15.08 Minimum: 8 .
Problem 1 (20 Points):
The 3x6 dimensional matrix (DM) is:
(6 pts)
V
H
M
1
0
0
1
1
0
L
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
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) I
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: S
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 wil
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.
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
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