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
Assump
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 multi
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-s
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
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
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
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
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
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
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 chang
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
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 mul
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
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
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 prop
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 tha
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
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 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 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 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 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 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 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.
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
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-erasa
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