- What am
I doing here?
The behavior of fluids is critical to a wide variety of everyday
applications. To understand why airplanes fly, or propellers push, or
curveballs turn, or why the wind blows, we need to first understand the
fundamental behaviors of fluids. We’ll start by defining “fluid”, and
contrasting fluids with solids. We’ll use Newton’s Second Law (SF
= ma)
to predict the motion of fluids, and we’ll use a few ideas from
thermodynamics, too. Also, we’ll play some clever algebraic tricks with
units (“Dimensional Analysis”) to help us simplify complicated problems
to a more manageable level. By the end of the class, you should be adept
at solving problems using the following ideas:
|
-
|
- the
continuum, fluid fields, streamlines, density, viscosity, control
volumes and control masses, pressure, normal and shear stress, buoyancy,
conservation principles (Bernoulli’s equation, Navier-Stokes), hydraulic
jumps, potential flows, dimensional analysis, boundary layers, lift,
drag, vorticity, circulation, and compressible flow.
|
|
|
- The
textbook for this class, Fluid Mechanics, by Frank White (8th
edition, McGraw Hill, 2016) is pretty user-friendly. You may also use
earlier editions of the book. Since there are too many subtopics to
cover in a single semester, we will not cover all of the topics in the
text. Also, we will not cover all of the topics in the exact same order
as the text.
|
- What’s
this about a project?
Midway through the semester, you will choose a project idea based on one
or more of the topics we’ve studied. Although I will provide some
suggestions for projects, you are permitted to develop your own idea,
subject to my approval. Your projects may be theoretically or
experimentally based. The projects may be individual or group efforts,
and should be open-ended (i.e., you will not be working towards a single
“correct” answer).
- Project Due Dates: 1. Inform Dr.
Pogo of your team roster (2 or 3 names) by Thursday March 9, 2023.
-
2. Inform Dr. Pogo of your project topic by Thursday, March 30, 2023.
By this date it
-
is already too late to start a conversation with Dr. Pogo about topics
or options.
-
3. Submit all your final documents to my inbox prior to the final exam (May
18, 2023).
|
-
How
will I be graded?
Your grade will be determined by:
|
- When
are the tests? Here is a tentative schedule of exams. Exams are
currently scheduled as “in class” exams. If the entire class (including
Dr. Pogo) agrees, an exam time, date, or length can be changed (to a two
hour evening exam, for example). Such changes will not affect the exam
questions.
-
- Exam #1:
Thursday,
February 16, 2023 (chapters 1
& 2 of White)
- Exam #2:
Thursday,
March 23, 2023 (chapters 3 &
6b of White)
- Exam #3:
Thursday,
April 13, 2023 (chapters 4 & 8
of White)
- Final
Exam: Thursday,
May 18, 2023, noon – 2:30 am (chapters 1 through
9 of
White)
|
- Written Homework Rules
-
- The entire point of having written assignments is to
help you improve your professionalism. Therefore, unlike the CAPA
portion of each weekly assignment, your grade will be based on factors
other than whether you get the right answer.
-
- 1) Use exactly 8½
´
11 inch paper. I will measure it with a ruler. Do not use spiral ring
paper.
- 2) Use only one side of each sheet
- 3)
Put your name on the top of every sheet. Put the assignment number on
the top of the first page (e.g., “Fluids, Written Assignment #3).
- 4) Staple all your sheets together. Paper-clips and torn
corners are not permitted.
- 5)
Clearly and systematically indicate what is given, and what is
sought.
- 6)
Work must progress linearly down the page. If your solution initially
meanders around the page, I expect you to recopy your solutions.
- 7)
Type or use a pencil. Erase errors instead of blotching them out.
- 8)
Draw and use Free Body diagrams as appropriate for all problems.
Define and use coordinate systems. Specify your choice of “free body”.
Label your forces.
- 9)
Define your symbols, and use subscripts. Not all
velocities can be called “V”, not all pressures can be called “p”.
Every symbol must be unique and clearly defined. Make a list or table of
relevant symbols and their values when this will help me to understand
your solution.
- 10)
Do not even bother to submit nonsensical results (e.g., a negative
pressure).
- 11)
Use words and/or pictures to clarify your method of solution and
your symbol definitions.
- 12)
Solutions should be symbolic. Include the initial fundamental formulas,
but don’t show every step of intermediate algebra. If, for some reason,
your solution uses numeric values, show no more than 4 significant
figures, and include units.
-
13)
Under no circumstances may you submit code (e.g., text imported from
Mathematica). Similarly, all “computational” notation (“^”, “E”, “*”,
“:=”, “Out[8]:=”, etc.) is forbidden. Solutions must be 100%
comprehensible on their own to someone who has never heard of
Mathematica.
- 14)
Box your answers.
- 15)
Plots should be professional and no smaller than 3
´
5 inches. Do not use default font sizes, default trendline formatting
(where every variable is apparently an x or a y), default
line widths, etc.
-
- What if
I have trouble with the homework?
Visit me during Discord office hours (see times listed above) and I’ll
try to point you in the right direction. Also, I know that most of you
will work in groups, and I won’t attempt to stop it. However, the
learning is in the doing. Nobody on this planet learns from copying
somebody else’s work, no matter how clear or correct it is. Every part
of every problem that you let somebody else do for you is something that
you are deciding that you just don’t want to learn. You will not have
their help on exams!
-
- For
this course, use of online homework solutions is considered academic
dishonesty. Students must not turn in homework problems that someone
else has solved or copied solutions found online. At best you will not
receive credit for the homework; at worst you will be charged with
academic dishonesty.
|
|
Learning
Outcomes:
At the end of this
course, students will be adept at solving physical problems involving
fluids (e.g., air, water, and oil) using the following techniques:
- Streamlines
and streamfunctions
- Control
volumes
- Control masses
- Buoyancy and
Archimedes’ principle
- Conservation
of mass and the continuity equation
- Conservation
of momentum, including both Bernoulli’s equation and the Navier-Stokes
equations.
- Potential flow
analysis
- Dimensional
analysis and similitude
In addition,
students will be knowledgeable about the following fluids properties and
descriptions:
- The continuum
model for describing fluids
- Pressure,
normal stress, and shear stress
- Density,
viscosity, vorticity, and circulation
- Lift and drag
- Boundary
layers
- Hydraulic
jumps and fluid instability
Also, the college
provides information at the following URL relating to a variety of
topics:
https://wiki.geneseo.edu/display/PROVOST/Syllabus+Resources+Related+to+Student+Success
|
