Homework 1
CE 319F
Prof. Hodges
Design-your-own Problems #1, #2 and #3 (20 points for each written summary)
Special submission note: this homework assignment must be typewritten (regular paper
not graph paper as required for other homework) and submitted
Dr. B. R. Hodges
CE 319F Topic 12
10/20/16
Topic 12
Energy
The Reynolds transport theorem provides
DB
=
Dt t
b dV + b v iA
v
Vol
cv
v
cs
Change of extensive property
B for a parcel of fixed mass
sum of fluxes through each
control surface (positive outwa
Dr. B. R. Hodges
CE 319F Topic 15
10/20/16
Topic 15
Surface Resistance and Boundary Layers
Laminar flow over a flat plate
If we consider a laminar uniform flow over an flat plate and the forces acting on a control
volume
4A4
y
p2A2
p1A1
3A3
x
The momentum
Dr. B. R. Hodges
CE 319F Topic 10
10/20/16 - Page 1 of 21
Topic 10
Reynolds transport theorem
Systems, control volumes and control surfaces
Most textbooks define a system as continuous mass of fluid
that always contains the same particles. Unfortunately,
Dr. B. R. Hodges
CE 319F Topic 09
Topic 9: Streamlines and Bernoulli
Pressure distribution, net force, and fluid flow
A section of fluid in a pipe might be drawn as follows
Note that in a pipe with a moving fluid, we no longer use the
hydrostatic pressure
Dr. B. R. Hodges
CE 319F Topic 08
Topic 8
Control volumes and continuity
Mass Flow rate
In a large range of engineering problems, we are interested
in the flow rate of a fluid. In particular, we may be interested
in the mass flow rate
= M = M = kg
M
t
T
Dr. B. R. Hodges
CE 319F Topic 07
Topic 7
Qualitative Study of Moving Flow
Steady vs. unsteady flow
Before we can visualize flow, it is useful to divide flow types
into two groups: steady and unsteady. In a steady flow,
there is no change in the flow over
Dr. B. R. Hodges
CE 319F Topic 13
10/20/16
Topic 13
Dimensional Analysis
Let us imagine the following: We have 3 variables, a, b and
c. We know that a is a function of b and c,
a = f (b, c)
but we dont know what kind of function. We also know that
L
T
L3
Dr. B. R. Hodges
CE 319F Topic 11
Topic 11: Momentum
The intersection of Newton and the Reynolds
Transport Theorem
Momentum is the inertia of a system.
momentum = mass velocity = mv
Newton said that (roughly translated)
a body in motion will remain in mo
Dr. B. R. Hodges
CE 319F Topic 16
10/20/16
Topic 16
Drag, Lift and Separation
External vs. Internal Flows
When a body is immersed in a flowing fluid (or the body is
moving through a stagnant or flowing fluid) we call this an
external flow e.g. the flow ov
Homework 5
CE 319F
Prof Hodges
90 points total
A. SIMPLE PROBLEMS
NONE!
B. CHALLENGE PROBLEMS
1. (40 points see breakdown by parts below) Consider a rectangular box with lengths of
2.0 m, 3.0 m and 1.0 m on each side with two sides rounded into quarter cy
Ali Alhusseiny
EID: ama5468
CE 319F
Homework# 01
Example #1
First, I was thinking about power washing at car washes as an everyday example of fluid
mechanic, but when I did my web serch, I found something more interesting. If we increase the
water pressur
Homework 6
CE 319F
Prof Hodges
80 points total
A. SIMPLE PROBLEMS
none!
CHALLENGE PROBLEMS
1. (10 pts) A large bubble (5 m3) of pure methane gas is released from a broken riser
pipe on an offshore oil rig. If the break in the riser pipe is 500 m beneath t
Homework 2 Solutions
CE 319F
Prof. Hodges
A. SIMPLE PROBLEMS
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A liquid has a specific gravity of 1.07. Answer the following questions about this liquid
using SI units:
1. (4 pts) What is the d
Homework 3 Solutions
Prof. Hodges
58 total homework points
A. SIMPLE PROBLEMS
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1. (4 pts) Imagine a tube with a rectangular cross-section with inside dimensions of
0.45 mm x 1.7 mm. Compute wh
Dr. B. R. Hodges
CE 319F Topic 14
10/20/16
Topic 14
Flow in Conduits
The Reynolds number in conduits
Flow in conduits is sometimes known as internal flow, to
distinguish it from external flow around an object (e.g.
airplane wing or automobile).
Flow in co
Homework 4 Solutions
CE 319F
Prof. Hodges
42 total homework points
A. SIMPLE PROBLEMS
1. (4 pts) A SCUBA diver is 81 meters below the oceans surface. What is the
absolute pressure exerted on his body?
Pgage = gh
Pabs = Pgage + Patmosphere
Density of ocean
Dr. B. R. Hodges
CE 319F Topic 1: Fluid properties
8/28/14
Topic 1
Fluid mechanics and fluid properties
Objectives
Define a "fluid" and fluid mechanics
Understand basic properties of fluids
Units systems and units of properties
Dimensional consistency
Sol
Homework 2
CE 319F
Prof. Hodges
80 total homework points
A. SIMPLE PROBLEMS
A liquid has a specific gravity of 1.07. Answer the following questions about this liquid
using SI units:
1. (4 pts) What is the density?
2. (4 pts) What is the specific weight?
3
Homework 3
Prof. Hodges
44 total homework points
A. SIMPLE PROBLEMS
1. (4 pts) Imagine a tube with a rectangular cross-section with inside dimensions of 0.45
mm x 1.7 mm. Compute what will happen inside the tube if this tube is inserted in a
beaker of wat
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CE 319F, Elementary Fluid Mechanics
Dimensional Analysis Laboratory
Name
Date
Lab time
DIMENSIONAL ANALYSIS APPLIED TO DRAG ON SPHERES
1) The benefit of using dimensional analysis to reduce the number of variables in a problem will be
illustrated using dr
Homework 8
CE 319F
Prof Hodges
86 total homework points
A. SIMPLE PROBLEMS
1. (4 pts) Derive an equation for the reaction force (Rx) associated with conservation of momentum in a
straight length of pipe of uniform diameter. Approximate the velocity as ste
Rules
1. This exam is to be turned in at the start of class on Thursday, October 13, 2016.
2. You MAY work with 2 other students in CE319F (maximum of 3 people on a team).
3. At the top of your exam you MUST put the names of the students you worked with.
CE 319f Equation Sheet Test 1, 20161010
A = area, F = force, I = moment of inertia L = length, M = mass, n = moles, r = radius, t = time,
T = temperature, V = volume, z = elevation.
Unit conversion
N
kg m
s2
Pa =
N
m2
K = C + 273
J =Nm
Unit relationships
CE 319F, Elementary Fluid Mechanics
Momentum Laboratory
Name
Date
Lab time
AIR FLOW AROUND A BEND
1) Determine the volumetric flow rate and the average velocity in the bend. To apply the momentum
equation for steady flow through the bend, it is necessary
CE 319F Elementary Mechanics of Fluids
Fall 2016
Laboratories begin on Monday, September 12
Times and Places
Lectures:
3:30 4:45 Tues/Thurs in CPE 2.204
Tutors and Teaching Assistants:
Time/places for offices hours to be announced on class
website.
Labora
Dr. B. R. Hodges
CE 319F Topic 3
8/25/16
Topic 3
Title:
Pressure Measurement
Objectives
Define piezometric head
Understand the relationship between head and
pressure
Understand difference between free surface and
pressurized tank (or pipe) systems
Solve v
Dr. B. R. Hodges
CE 319F Topic 6
8/28/14
Topic 6
Title: Buoyancy
Objectives
Understand the relationship between forces on
submerged surfaces and buoyancy.
Identify how negatively, positively or neutrally-buoyant
objects will behave.
Compute the net forces
Dr. Ben R. Hodges
CE 319F Topic 4
8/25/16
Topic 4
Magnitude and direction of hydrostatic
force on a plane surface
Objectives:
Understand theory for plane hydrostatic force
Correctly identify the magnitude and direction of a
distributed pressure force acti
Dr. Ben R. Hodges
CE 319F Topic 5
8/28/14
Topic 5
Hydrostatic forces on curved
surfaces
Objectives
Understand the concept of projected area for finding
net horizontal force
Understand the concept of weight of the fluid for a net
vertical force
Understand
Homework 4
CE 319F
Prof. Hodges
64 total homework points
A. SIMPLE PROBLEMS
A liquid has a specific gravity of 1.07. Answer the following questions about this liquid
using SI units:
1. (4 pts) What is the density?
2. (4 pts) What is the specific weight?
3