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AAE 511
Introduction to Fluid Mechanics
Fall 2013
(MWF 1:30–2:20, RHPH 164)
All course material will be available on Blackboard
Instructor
Prof. Gregory A. Blaisdell
Armstrong Hall, Room 3215
Phone: 494-1490
e-mail: blaisdel@purdue.edu
Office Hours: (to be announced* (TBA))
*Please fill out the questionnaire at https://purdue.qualtrics.com/SE/?SID=SV_9oSK4FlTiKiHqId by the
end of Friday, August 23. Use the password _______________________
Course Goal
To help you develop a strong foundation in the fundamentals of fluid mechanics.
Text
Fundamental Mechanics of Fluids (Fourth Edition)
I. G. Currie, CRC Press 2013
rd
(The 3 edition (2003) is on reserve at the ENGR library. It is also available as an on-line electronic
resource through the Purdue library website.)
References (On reserve)
An Introduction to Fluid Dynamics
G. K. Batchelor, Cambridge 1967 [ENGR library]
Incompressible Flow (Second Edition)
R. L. Panton, John Wiley & Sons 1996 [ENGR library]
Fundamentals of complex analysis with applications to engineering and science
E. B. Saff and A. D. Snider, Prentice-Hall 2003 [MATH library]
Boundary Layer Theory (Eighth Edition)
H. Schlichting and K. Gersten, Springer 2000 [ENGR library]
Viscous Fluid Flow (Second Edition)
F. M. White, McGraw Hill 1991 [ENGR library]
Grading
The grading in the course will be based upon scores on the homework and exams with the following
weights:
Homework 30%
Midterm Exam I 20% TBA
Midterm Exam II 20% TBA
Final Exam 30% TBA
In the event of a major campus emergency, course requirements, deadlines and grading percentages are
subject to changes that may be necessitated by a revised semester calendar or other circumstances. Here
are ways to get information about changes in this course: the course web site and my email address
(blaisdel@purdue.edu ). In the event that Purdue’s computer systems are down for an extended period of
time, an attempt will be made to make information available through Google Groups with the group
name PurdueAAE511fall2011. (This group is not set up yet.)
Course Notes
The lecture notes will be made available on Blackboard. Students are responsible for printing the course
notes before lecture so they can add material to the printed notes during class. If you miss class, please
get the missing material for the notes from another student. The notes contain copyrighted material;
therefore, do not post the PDF files on the Internet or share them with anyone else. They are only
intended for the benefit of students in this course.
Homework
Assignments will be made on Fridays and generally due on the following Friday. The homework
problems will be posted on Blackboard, and students are responsible for accessing them and turning in
the solved problems by the due date. Late homework will be accepted (unless otherwise noted), but at
reduced credit. Homework due Friday may be turned in by the beginning of the next class at 90% credit.
No homework will be accepted after that time. All the problems must be turned in at the same time.
You may get help from one another on the homework, but you must hand in your own work. The work
must be legible and well organized.
Course Level
The material in this course is taught at an introductory graduate level. AAE 511 is intended to be a
Masters level course. It is also an appropriate course to broaden or strengthen the background of Ph.D.
students. Undergraduate students have successfully completed this course and some have done very
well; however, generally speaking this course has proved to be a challenge to undergrads. Therefore, I
recommend that undergraduate students meet with me to discuss whether they should take this
course.
Missed Classes
I plan to be out of town Monday October 28 and Monday November 25. University policy states for
each evening exam given a lecture must be missed. The dates of the exams will be determined later in
the semester; however, the above dates will be the dates of the corresponding canceled classes.
Outline
AAE 511
Governing Equations
I. Basic Conservation Laws
A. Introduction
B. Review of Vector Analysis and Tensor Index Notation
C. Conservation of Mass
D. Conservation of Momentum
E. Conservation of Energy
F. Constitutive Relations
G. Summary of Governing Equations
H. Nondimensionalization
II. Flow Kinematics, Vortex Dynamics, and Alternate Forms of the
Governing Equations
A. Flow Lines
B. Circulation
C. Vortex Lines
D. Helmholtz’s Vorticity Theorems
E. Kelvin’s Theorem
F. Euler Equations
G. Bernoulli’s Equation
H. Euler n-Equation
I. Vorticity Equation
J. Inviscid Motion of Vortex Lines
K. Equations of Motion in Non-Inertial Reference Frames
Ideal Fluid Flow
III. Two-dimensional Potential Flow
A. Velocity Potential
B. Stream Function
C. Boundary Conditions
D. Complex Potential
E. Review of Complex Variables
F. Complex Velocity
G. Basic Flows
H. Flows in Sectors and Around Corners
I. Method of Images & the Milne-Thomson Circle Theorem
J. Circular Cylinder with Circulation
K. Blasius Integral Laws
L. Conformal Mapping
M. Kutta Condition
N. Schwarz-Christoffel Transformation
IV. Three-dimensional Potential Flow
A. Velocity Potential and Stream Function for Axisymmetric
B. Flows
C. Basic Flows
D. Butler’s Sphere Theorem
E. D’Alembert’s Paradox
F. Apparent Mass (Added Mass)
G. Non-Axisymmetric Flows
Viscous Flows of Incompressible Fluids
V. Exact Solutions
A. Couette Flow
B. Poiseuille Flow
C. Stokes’ First and Second Problems
D. Other Exact Solutions
VI. Boundary Layers
A. Boundary Layer Approximation
B. Blasius Solution
C. Boundary Layer Thicknesses
D. Response of a Boundary Layer to Pressure Gradients
E. Falkner-Skan Flows
F. Approximate Boundary Layer Methods
G. Thwaites’ Method
H. Transition to Turbulence & Linear Stability Theory
I. Turbulent Flow & Turbulence Modeling
VII. Low-Reynolds-Number Solutions
A. Stokes Equations
B. Uniform Flow over a Sphere
C. Uniform Flow over a Cylinder
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