AE 2020
LOW-SPEED AERODYNAMICS
Course Downloads
Equation Sheets and Reference Material
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Link
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Math Review Equations |
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Conservation Equation Summary |
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Mass Flow Integration Example |
Class Assignments & Quizzes
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Link
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Homework
Assignment #1
Due: Thur. 1/20/2005 |
HW_1.pdf
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Homework
Assignment #2
Due: Thur. 2/3/2005 |
HW_2.pdf
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Solutions to
Assignment #1
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HW1_sol.pdf
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Equations for
Homework Quiz on Assn. #2
To be held
Thur. 2/10/2005
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HWQ2_Eqns.PDF
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Homework
Assignment #3
Due: Thur. 2/17/2005 |
HW_3.pdf
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Solutions to
Assignment #2
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HW2_sol.pdf
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Equations for
Homework Quiz on Assn. #3
To be held Thur. 2/24/2005 |
HWQ3_Equations.PDF
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Homework
Assignment #4
Due Thur. 2/24/2005 This assignment will NOT be accepted late No Homework Quiz to be held on this assignment. |
HW_4.pdf
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Equations for
Exam #1 will be held Tue. 3/1/2005
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E1_Equations.pdf
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Solutions to
Assignment #3
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HW3_sol.PDF
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Solutions to
Assignment #4
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HW4_sol.pdf
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Homework
Assignment #5
Due: Tue. 3/15/2005 |
HW_5.pdf
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Equations for
Homework Quiz on Assn. #5
To be held Tue 3/29/2005 |
HWQ5_Eqns.PDF
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Solutions to
Assignment #5
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HW5_sol.pdf
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Homework
Assignment #6
Due: Tue. 4/5/2005 |
HW_6.pdf
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Equations for
Homework Quiz on Assn #6
To be held Tue 4/12/2005 |
HWQ6_Eqns.PDF
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Solutions to Assignment
#6
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HW6_sol.pdf
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Homework
Assignment #7
Due: Thur. 4/14/2005 This assignment will NOT be accepted late |
HW_7.pdf
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Equations for
Exam #2
To be held Tue. 4/19/2005 |
E2_Equations.pdf
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Solutions to
Assignment #7
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HW7_sol.PDF
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Homework
Assignment #8
Due: Not to be turned in for
grade, however, HW Quiz to be held along with Final Exam during Final Exam Period |
HW_8.PDF
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Solutions
to Assignment #8
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Avail. outside
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Final Exam and HW Quiz on Assn. #8:
Section A (Morning Class): Wed.
5/4/2005 8am-10:50am Section B (Afternoon Class): Mon. 5/2/2005 11:30am-2:20pm |
Equations for
Final Exam and HW Quiz on Assn. #8:
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Lecture Notes
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Link
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Course Introduction |
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Conservation Laws 1 |
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Mass Flow Rate 1 |
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Control Vol. & Control Mass |
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Continuity in Integral Form |
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Continuity in PDE form |
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Momentum Eqn 1 |
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Wake Rake Example 1 |
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Momentum in PDE form |
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Jet Exit Conditions |
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Pipe example |
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Substantial Derivative |
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Streamlines & Pathlines |
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Angular Velocity and Vorticity |
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Bernoulli Equation |
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Circulation |
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Velocity Potential |
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Stream Function |
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Laplace Eqn |
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Sources & Sinks |
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Doublet |
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Flow over Circular Cylinder |
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Elementary Flows and Cylinder Flow images |
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Cylinder Cd (Fig. 3.20) |
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Lifting flow over Circular Cylinder |
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Lifting Cylinder images |
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Generation of Lift |
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Airfoil Nomenclature |
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Thin Airfoil Theory Introduction |
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Thin Airfoil Theory Derivation |
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Thin Airfoil Theory Symmetric |
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Experimental Airfoil Lift and Drag |
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Thin Airfoil Theory Cambered |
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Finite Wing Theory Introduction |
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Finite Wing Theory Derivation |
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Finite Wing Theory Results |
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Finite Wing Final Results |
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Introduction to Viscosity |
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Boundary Layer Analysis |
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Skin Friction |
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Streamwise Pressure Gradient |
Assigned
Note: In table below, currently
and previously assigned reading are highlighted in red.
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Bertin Textbook |
Web |
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Chapter 1 |
Chapter 1 |
All Lecture notes to date |
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Sections 2.1-2.6.1 |
Sections 2.1-2.4 |
Web: Course Introduction |
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Sections 2.7-2.8 |
Sections 2.7-2.10 |
Math Review Equations |
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Sections 2.9-2.12 |
Sections 3.1-3.6 |
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Sections 2.13-2.18 |
Sections 3.7-3.11 |
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Sections 3.1-3.5 |
Sections 3.11-3.14 |
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Sections 3.6-3.8 |
Sections 3.15-3.16 |
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Sections 3.9-3.14 |
Sections 6.1-6.4 |
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Sections 3.15-3.16 |
Sections 6.5-6.5.2 |
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Sections 3.17-3.21 |
Sections 5.1-5.4.3 |
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Sections 4.1-4.7 |
Sections 5.5-5.5.3 |
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Sections 4.8-4.15 |
Sections 2.5-2.6 |
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Sections 5.1-5.3 |
Sections 4.1-4.7.2 |
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Section 5.4, 5.9 |
Sections 5.4.4-5.4.5 |
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Chapter 15 |
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Sections 16.1-16.3 |
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Sections 16.5-16.6 |
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Chapter 17 |
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Sections 18.1-18.2 |
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Sections 19.1-19.2
(except 19.2.1) |
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Course
Description: Basic results, conservation laws, potential, airfoil and
wing analysis. Boundary layers on plates and airfoils. Pressure gradients. Introduction
to turbulence and vortex-dominated flows.
Units = 3-0-3.
Learning
Objectives:
- How
aerodynamic lift, drag and pitching moment are generated, and how they
act.
- Basic
physical approach to describing fluid dynamics.
- Potential
flow concept to describe and predict aerodynamics.
- Thin-airfoil
theory and genesis of the results of 2-D incompressible results.
- Finite-Wing
effects and their modeling.
- Lifting-line
approach to calculate lift and induced drag on wings.
- Boundary-layer
concept to describe effects of viscosity.
- Simple
models of the boundary layer .
- Physical
concepts of turbulence and its effects.
- Features
of flows at high angles of attack.
Prerequisites:
·
Material
1.
2. Basic
Trigonometry
3. Concept
of scalars and vectors: dot products, cross-products, curl.
4. Partial
derivatives; contour, surface and volume integrals.
5. Computer
literacy for problem-solving using spreadsheets, 2-D plots
6. Chemistry: perfect gas equation, Avogadro's Number.
· Courses
1.
MATH 2401 or MATH 2411 or MATH 24x1
2.
PHYS 2211
3.
AE 1350
Class Hours:
Section A: T Th 9:35am – 10:55am
Section B: T Th 1:35pm – 2:55pm
Instructors:
Dr. S.M. Ruffin 404-894-8200
Guggenheim Bldg. Rm 362 Email: stephen.ruffin@aerospace.gatech.edu
Office Hours: Wed. 2-4
pm or other times by appointment
Graders:
Section
A (Morning class):
Mr.
Kilsoo KimEmail: gtg229q@mail.gatech.edu
Section
B: (Afternoon class):
Mr.
Susheel-Kumar Sekar: gtg081j@mail.gatech.edu
(404) 894-0551
Primary Text:
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Fundamentals of Aerodynamics,
Reference Material:
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Aerodynamics for Engineers,
Bertin, J.L., Prentice Hall, 4th
Edition, 2002 OR Aerodynamics
for Engineers, Bertin, J.L. and Smith, M.L., Prentice Hall, 3rd
Edition, 1998.
·
http://www.adl.gatech.edu/
: especially Aerodynamics & Fluids Sub-Discipline, Low-Speed Aerodynamics
course material
Homework Assignments:
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Discussing formulation of problems and
approach is fine but each student must work the final solutions alone. You must show your work for credit and what
you turn in must represent your own work.
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For each homework assignment, you will
receive either full-credit (100%), half credit (50%) or no-credit (0%).
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Full credit (100%)
will be given if 1) most of the problems are done correctly and 2) it is
clear that a serious attempt was made for each and every problem on the
assignment.
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Half credit (50%)
will be given if 1) some of the problems are done correctly and 2) it is
clear that a serious attempt was made for each and every problem on the
assignment.
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All assignments must be turned in to
the instructor by the beginning of class on the date indicated.
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Homework
turned in 1 class period late is deducted 20% credit.
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Homework
not accepted if turned in more than one class period late (except documented
emergency).
Homework Quizzes:
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Several (approx. 5-7) homework
quizzes will be given in class and numerical grades will be assigned. These homework quizzes will consist of one or
two problems identical or similar to the assigned homework.
Exams: Equations will be
provided. Otherwise, closed book and
closed notes. No other information
sources can be used (except your own brain)
Honor
Code:
Students in this course and all other course at Georgia
Tech must abide by the Georgia Tech Honor Code.
Please read the text of the Georgia Tech Honor Code which can be found
on the internet at http://www.honor.gatech.edu/
Tentatively, the final grade will be based on:
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Homework Assignments 10%
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Homework Quizzes 20%
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Exam #1 20%
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Exam #2 20%
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Final Exam 30%
Note: The weighting above is subject to change.