# FLUID MECHANICS by 39moJsW

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```									     INTRODUCTION TO FLUID MECHANICS
Department of Chemical Engineering
CHEM ENG 3O04

COURSE OUTLINE
FIRST DRAFT

INSTRUCTOR: Dr. J.M. Dickson         JHE A408       Ext. 24948    dickson@mcmaster.ca

TEACHING ASSISTANTS:
Vaji Akbarzadeh           JHE A407       x27247      akbarzv@mcmaster.ca
Scott Campbell            JHE 256        x24008      campbesb@mcmaster.ca)
Nels Grauman Neander      JHE 256        x24008      graumane@mcmaster.ca
Luying Wang               JHE 133        x27404      wangl69@mcmaster.ca

SCHEDULE:     Lectures: 10:30-11:20 M, W, R         JHE 264
Tutorials: T01 3:30-5:20 R            JHE 326
T02 12:30-2:20 R           JHE 326

COURSE OBJECTIVES: The objective is to show how the equations of conservation of mass
and momentum can be used to solve problems in fluid mechanics. What sort of equations should
one derive for determination of forces, velocities, streamlines, shear rates, shear stresses and
pressures. What kinds of approximations are appropriate for internal and external laminar and
turbulent flows? How do the calculations relate to experimental observations and how the results
can be used for design purposes involving tubes, ducts, pipelines and pumps?

TEXT:      Robert Fox et al., Introduction to Fluid Mechanics, 7th ed., Wiley & Sons, 2009.
RESOURCES: J. Vlachopoulos, Fundamentals of Fluid Mechanics, Draft Edition, 2008, selected
parts to be posted on the net.

CALCULATORS: Only a McMaster Standard Calculator may be used for tests and exams.

OUTLINE: (The main emphasis will be on basic concepts concerning unidirectional
flows and applications of the BERNOULLI equation)

1. FUNDAMENTAL CONCEPTS
Viscosity, Newtonian and non-Newtonian fluids, the no-slip condition, laminar vs turbulent flow

2. FLUID STATICS
Pressure distribution, manometers

ChE 3O04 Outline, Fall Term 2010                                                         Page 1
3. KINEMATICS OF FLOW
Lagrangian vs. Eulerian approach, streamline

4. CONSERVATION OF MASS
Differential and integral balances

5. FLUID DYNAMICS
Basic concepts, stresses

6. CONSERVATION OF MOMENTUM
Linear momentum balance, Navier-Stokes equations

7. UNIDIRECTIONAL FLOWS
Pressure driven, gravity and drag flows, several examples involving solution of ordinary
differential equations, interpretation of the solutions and results.

8. LAMINAR AND TURBULENT BOUNDARY LAYERS
Basic concepts, turbulent flow in tubes and over flat plates

9. EXTERNAL FLOWS AND DRAG
Friction and form drag, vortex shedding

10. THE BERNOULLI EQUATION FOR DUCT FLOWS
Problem solving with the Bernoulli equation, frictional losses. Moody chart, pipelines with
pumps and turbines

11. MEASUREMENTS
Viscosity, pressure, velocity, flow rate

12. PUMPS
Positive displacement, centrifugal pumps

WEBSITE: The URL for the course is: http://chemeng.mcmaster.ca/courses/Che3O4.htm. This
course outline may be found there, along with additional files. Most material will
be posted on “Avenue to AVENUE” (AVENUE), http://avenue.mcmaster.ca
(replacing ELM) including tutorial information, assignments, tests, solutions, JV
textbook and lecture overheads. Until AVENUE is shown to be working,
material will be posted on the departmental web site above.

GRADING: The following table shows the contribution of components to the final grade,
Assignments (8)            15%
Tests (2)                  30%
Final Examination          55%

ChE 3O04 Outline, Fall Term 2010                                                           Page 2
SCHEDULE: Due Dates for Tests

Test* – Date – Room                            Comments
Wednesday           T29 -101
Test 1
20 Oct           T29 - 105    Tests, in lecture periods.
Wednesday           T29 -101     10:30 – 11:20.
Test 2
17 Nov            T29 - 105
* McMaster Standard Calculator, course textbook (FOX only), and any notes allowed.

The final grade percentage will be converted to letter grades using the Registrar’s recommended
procedure. Adjustments (up only) to the final grades may be done at the discretion of the
instructor.

NOTES:
Tests/Final Exam – Students will be allowed to bring in their textbook (Fox only), McMaster
Engineering-approved calculator, and any notes into tests and the final examination. Tests not
written in pen will not be considered for re-marking. Any evidence of copying or use of
unauthorized aids (including cell phones, PDA, Blackberry, etc.) will be treated as a case of
below.

Cell Phones and other Electronic Communication Devices - Cell phones and other electronic
communication devices (such as iPods and Blackberries) are not permitted in Tests or the Final
Examination. Such devices MUST be turned off and left at the front or back of the room. If a
student is found to have such a device on their person it will be assumed that they are cheating
and they will be charged as such. If you require such a device for a special need please discuss
this with me before the first Test.

Missed Test – Absence without an excuse will result in a grade of zero for a test or exam. If you
have a legitimate medical/personal reason for missing a test or exam you should present suitable
documentations to the Associate Dean’s Office.

Snow Day Policy – In the event of a “snow day”(however unlikely), a test will be give one week
after its original date if possible. In the event of a “snow day”, assignments are due the next
class, at the beginning of class.

Assignments – Assignments will be due by the start of the class on the day it is due. Late
assignments will be given a grade of zero. Excused lateness must be worked out with the
professor before the assignment is due, else you must present suitable documentation to the
Associate Dean’s office to generate a “missed work form”. Blatant copying or cloning of
assignments will be treated as academic dishonesty and will be penalized (usually zero and the
infraction will be reported to the Academic Integrity office, McMaster) . You are encouraged to
work on the problems with your colleagues and to seek the assistance of the TAs or professor if
necessary, but direct copying of the solutions from another student or any other source is not
acceptable.

ChE 3O04 Outline, Fall Term 2010                                                          Page 3
Typically assignments will be due – Monday beginning of class-time
Assignments will be posted on AVENUE – Monday a week before due-date

All assignments must be done on 8.5 x 11” paper. The work must be neat with intermediate
calculations and assumptions shown (Note: often the final answer has little or no value to the
mark for the question). All assignments, tests, and final examination must be written one side of
the page only (Marks will be deducted for messy or assignments/tests/exam written on both
sides of the page; unreadable work will not be graded). Consistent units must be shown at
each step of your calculations and use diagrams as part of your solution whenever possible. The
final answer with units should be boxed. Your name and student number must be on the top
of each page – else no mark will be given. Assignments done in pencil will not be re-marked
(which also applies to tests).

Picking up Tests and Assignments - University policy requires that students must pickup their
own work directly. Therefore you must see the TA, to be designated, to pickup your work.
There will be no general drop off of marked work in any location. As much as time permits,
work will be returned during the scheduled tutorials periods.

E-Mail and AVENUE - Each class member is expected to have a McMaster e-mail address and
to access the AVENUE (replacement for ELM) system regularly. Occasionally, important
information to the class will be transmitted via AVENUE. The best way to arrange meetings
with me or ask specific questions is by direct email to me (not through AVENUE); make sure to
include ChE 3O04 in the Subject heading – without this information I may in error delete or not
immediately read your email assuming it is spam. Generally, I will not respond to e-mails sent
on the weekend until the first workday back. E-mail is often the most convenient manner of
corresponding unless the need is urgent. I presume that there will be an email service on
AVENUE and that can be used to contact me as well; but I will not read this email as regularly

Recording Devices in Lectures - no video recording devices are allowed in the lecture hall or
tutorials without written permission by the instructor.

Cell Phones and Texting Devices - Neither phones nor texting devices are allowed to be used in
lectures or tutorials without permission by the instructor. These devices are disruptive to the
class, so students are required to leave the room if they must be used. Refer to further policies
above in regards to tests and exams.

CENTRE FOR STUDENT DEVELOPMENT:
“Students with disabilities can receive accommodations to assist them in the completion of their
assistance.” Further info at: http://csd.mcmaster.ca

SENATE AND THE FACULTY OF ENGINEERING POLICIES
“The Faculty of Engineering is concerned with ensuring an environment that is free of all adverse
discrimination. If there is a problem, that cannot be resolved by discussion among the persons concerned,
individuals are reminded that they should contact the Department Chair, the Sexual Harassment Officer or
the Human Rights Consultant, as soon as possible.”

ChE 3O04 Outline, Fall Term 2010                                                                 Page 4
“You are expected to exhibit honesty and use ethical behaviour in all aspects of the Learning
process. Academic credentials you earn are rooted in principles of honesty and academic integrity.”
“Academic dishonesty is to knowingly act or fail to act in a way that results or could result in
unearned academic credit or advantage. This behaviour can result in serious consequences, e.g. the
grade of zero on an assignment, loss of credit with a notation on the transcript (notation reads:
"Grade of F assigned for academic dishonesty"), and/or suspension or expulsion from the university.”
“It is your responsibility to understand what constitutes academic dishonesty. For information the
“The following illustrates only three forms of academic dishonesty:
1. Plagiarism, e.g. the submission of work that is not one's own or for which other credit has been
obtained. **
2. Improper collaboration in group work. **
3. Copying or using unauthorized aids in tests and examinations. **

** see page 3-4: on Tests/Final Exam and Assignments

Special Instructions due to, for instance, a labour disruption (strike):
"The instructor and university reserve the right to modify elements of the course during the term.
The university may change the dates and deadlines for any or all courses in extreme
circumstances. If either type of modification becomes necessary, reasonable notice and
communication with the students will be given with explanation and the opportunity to comment
on changes. It is the responsibility of the student to check their McMaster email and course
websites weekly during the term and to note any changes."

ChE 3O04 Outline, Fall Term 2010                                                            Page 5

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