Chapter 3 Integral Relations
for a Control Volume
P3.1 Discuss Newtons second law (the linear momentum relation) in these three forms:
F = ma
F =
d
(mV)
dt
F =
d
V d
dt system
Solution: These questions are just to get the students thinking about the b
Chapter 4 Differential Relations
for a Fluid Particle
P4.1 An idealized velocity field is given by the formula
V 4txi 2t 2 yj 4 xzk
Is this flow field steady or unsteady? Is it two- or three-dimensional? At the point (x, y, z)
(1, 1, 0), compute (a) the
Chapter 7 Flow Past Immersed Bodies
P7.1
An ideal gas, at 20C and 1 atm, flows at 12 m/s past a thin flat plate. At a
position 60 cm downstream of the leading edge, the boundary layer thickness is 5 mm.
Which of the 13 gases in Table A.4 is this likely to
Chapter 6 Viscous Flow in Ducts
P6.1
An engineer claims that flow of SAE 30W oil, at 20C, through a 5-cm-diameter smooth
pipe at 1 million N/h, is laminar. Do you agree? A million newtons is a lot, so this sounds like
an awfully high flow rate.
Solution:
ootineity
1. For a certain incompressible, 2~dimensional ow field the velocity
component in the ydirection is given by the equation
17 = 330; xzy
Determine the velocity component in the xdirection so that the continuity
equation is satisfied. '
leitirtii:
91
2.2. Space Curves
2.2 Space Curves
Consider the motion of a uid particle P in a three-dimensional ow eld. Let the
position of the particle at time t0 be identied by the vector
R D xi C yj C zk
y
P
P '
s
R
R
R +
R
x
(2.3) fspacecurveg
Referring to Fig.
140
2.8
Chapter 2. Flow Kinematics
Natural Coordinates
Although most of the analysis in this book is based of an Cartesian coordinate system, there are occasions in which an alternative system renders the development of
ow equations and the explanation of
CE 100
Midterm Exam #1 (Sample Exam A)
CE 100 - Midterm Exam #1
Name _
Student I.D. _
This exam is closed book. You are allowed one sheet of paper (8.5 x 11, both sides) of
your own notes. You must turn in your note sheet with your exam. Make sure it has
Fall 2014/Chow
CE100 ELEMENTARY FLUID MECHANICS
LAB #3: MOMENTUM CONSERVATION
Lab Due: Wed. October 15 by 5pm, online submission only
Figure 1. Sluice gate and piezometer board. Note h1 is not deep enough in this photo
you should se
Midterm Exam #2
Problem 1 (40 points): Potential ow past a cylindrical dome
A practice facility for the Cal football team is to be covered by a semicircular cylindrical
dome, as shown in the sketch. The dome with radius a is placed normal to the cross ow
CE 100
Midterm Exam #1 (Sample Exam B)
CE 100 - Midterm Exam #1
Name _
Student I.D. _
This exam is closed book. You are allowed one sheet of paper (8.5 x 11, both sides) of
your own notes. You must turn in your note sheet with your exam. Make sure it has
Hydrostatic Forces on 2D shapes
A farmer wants to build a trough for watering his animals and is debating the merits of two shapes:
Side view:
Side view:
w
x
w
w
y
x
y
w=2a
x
h
x
y
h
h
h
Rectangular trough
Triangular trough
Both troughs have the same heig
CE 100
Fall 2014/Chow
Problem Set #11
Due Dec. 5 by 3pm
Methodology: The following guidelines will be useful to you as you solve homework problems.
Read the book and go over the book examples before you get started.
Draw a schematic diagram of the syste
CE 100
Fall 2014/Chow
Problem Set #9
Due Nov. 14 by 3pm
Methodology: The following guidelines will be useful to you as you solve homework problems.
Read the book and go over the book examples before you get started.
Draw a schematic diagram of the syste
Supplemental problem: Source in a uniform stream
a)
close all
clear all
[x,y]=meshgrid([-20:0.1:20],[-20:0.1:20]);
r=sqrt(x.^2+y.^2);
theta = atan2(y,x);
%uniform flow with source
psi5 = +4*theta + 1*r.*sin(theta);
phi5 = +4*log(r) + 1*r.*cos(theta);
figu
CE 100
Fall 2014/Chow
Problem Set #8
Due Oct. 31 by 3pm - Happy Halloween!
Methodology: The following guidelines will be useful to you as you solve homework problems.
Read the book and go over the book examples before you get started.
Draw a schematic d
CE 100
Fall 2014/Chow
Problem Set #10
Due Nov. 21 by 3pm
Methodology: The following guidelines will be useful to you as you solve homework problems.
Read the book and go over the book examples before you get started.
Draw a schematic diagram of the syst