AE 6020

HIGH-SPEED FLOW

Course Downloads

Equations and Reference Material	Link
Math Review Equations	Math_Review.pdf
Low-Speed Aerodynamics Equation Summary	AE2020_Equations.pdf
High-Speed Aerodynamics Equation Summary	AE3021_Equations.pdf
Conservation Equation Summary	conseq.html
Isentropic Flow Tables	IsentropicTable.pdf
Prandtl Meyer Tables	PMTable.pdf
Oblique Shock Chart	ObliqueShockChart.pdf
Normal Shock Table	NormalShockTable.pdf
Programming Reference Material (Matlab, FORTRAN, Perl, and C)	AE 8801 Special Topics: Computing Systems for Engineering Research
Shock & Atmosphere Calculator	VUCALC.EXE
Transonic Small Disturbance (TDS) Code	project1.exe, project1.f
Navier-Stokes/Euler Code	NASCART-GT
Hypersonic Equations Summary	Hyp_Equations.pdf
Equations for HW Quiz on Assn. #4	Hyp_Equations.pdf, AE3021_Equations.pdf, ObliqueShockChart.pdf, NormalShockTable.pdf, PMTable.pdf

Class Assignments	Link
Homework Assignment #1 (Due 1/15/2004)	HW_1.pdf
Solutions to Homework Assignment #1	HWsol_1.pdf
Homework Assignment #2 (Due 1/29/2004)	HW_2.pdf
Solutions to Homework Assignment #2	HWsol_2.pdf
Computer Project #1 (Due 2/24/2004)	CP_1.pdf
Computer Project #2 (Modified Due Date 4/6/2004)	CP_2.pdf
Homework Assignment #3 (Due 4/6/2004)	HW_3.pdf
Solutions to Homework Assignment #3	HWsol_3.pdf
Homework Quiz on Assignment #3 will be on 4/13/2004	Equations for HW Quiz: Hyp_Equations.pdf
Homework Assignment #4 (Due 4/15/2004)	HW_4.pdf
Homework Assignment #5 (Due 4/22/2004)	HW_5.pdf
Solutions to Homework Assignment #4	HWsol_4.pdf
Solutions to Homework Assignment #5	HWsol_5.pdf

Lecture Notes	Link
Introduction to Transonic Flow	TransonicIntro.pdf
Incompressible Cp Distributions	CpDistributions.pdf
Compressiblity Corrections	CompCorrections.pdf
Critical Mach Number	CriticalMachNo.pdf
Transonic Drag Rise	TransonicDragRise.pdf
Transonic Data Abbott & Von Doenhoff	TranDataAvD.pdf
Supercritical Airfoils	SuperCritAirfoils.pdf
More compressibility Examples	CpCompressibility.pdf, CmCompressibility.pdf
Transonics: Importance and Analysis Overview (New version) + Corrected Page 1 (Wdry) and Page 5 (1972-lifting)	TranImportance.pdf
Navier-Stokes Eqns	GovEqns.pdf
Euler Equations and Conservation Law form	EulerEqns.PDF
Angular Velocity and Vorticity	Vorticity.pdf
Crocco’s Theorem (2 files)	CroccoIntro.PDF, CroccoResults.PDF
Full Potential Equation	FullPotential.pdf
Wave Drag & Shock Waves (excerpt from Chapter 2 – Governing Equations)	FPEWaveDrag.pdf
Wave Drag & Shock Waves P2 Detailed answer to question	FPEWaveDragP2.pdf
Transonic Small Disturbance (TSD) Equation	TSDEqn.pdf
Numerical Soln. of TSD Part 1	TSDSolnP1.pdf
Discrete Modeling	DiscreteMod.PDF
Numerical Soln. of TSD Part 2	TSDSolnP2.pdf
Mathematical Classification of Eqns	MathClassification.pdf
Numerical Soln. of TSD Part 3	TSDSolnP3.pdf
Numerical Soln. of TSD Part 4	TSDSolnP4.pdf
Numerical Soln. of TSD Part 5	TSDSolnP5.pdf
Numerical Soln. of FPE Part 1 (excerpt from Chapter 5 – The Transonic Full Potential Eqn)	FPESolnP1.pdf
Introduction to Grid Topologies	GridTopologiesexcerpt.PDF
Numerical Soln. of FPE Part 2 (excerpt from Chapter 5 – The Transonic Full Potential Eqn)	FPESolnP2.pdf
Grids and Generalized Transformation	Grids&Transformation.PDF
Transformation of the Euler Eqns (example)	EulerTransformation.PDF
Numerical Soln. of FPE Part 3 (excerpt from Chapter 5 – The Transonic Full Potential Eqn)	FPESolnP3.pdf
Airfoil Design Part 1	AirfoilDesignP1.pdf
Airfoil Design Part 2	AirfoilDesignP2.pdf
Unsteady Transonic Flow (excerpt from Chapter 7 – Unsteady Transonic Potential Flow)	UnsteadyTransonics.pdf
Chapter 1 – Introduction	AE6022-Cp1.pdf
Chapter 2 – Governing Equations	AE6022-Cp2.pdf
Chapter 3 – Transonic Small Disturbance Eqn	AE6022-Cp3.pdf
Chapter 4 – Solution of TSD Eqn	AE6022-Cp4.pdf
Chapter 5 –Full Potential Eqn.	AE6022-Cp5.pdf
Chapter 6 – Numerical Techniques for Designing Airfoils	AE6022-Cp6.pdf
Chapter 7 – Unsteady Transonic Potential Flow	AE6022-Cp7.pdf
Hypersonic Flow Introduction	HyperIntro.pdf
Newtonian and Modified Newtonian Theory	Newtonian.pdf
Other Surface Inclination Methods	HypSurfInclination.pdf
Hypersonic Expansion Waves	HypExp.pdf
Viscous Hypersonic Flow	ViscHyp.pdf
Stagnation Point Heat Transfer	StagPtHeat.pdf
Convective Heat Transfer Computation NASA TP 2914	Tauber_NASATP2914.pdf
Chemical Composition Description	ChemComp.pdf
Equilibrium Inviscid Flows	EquilInv.pdf
Analysis of Non-equilibrium Flows – Overview	Nonequil.pdf
Thermal Protection Methods	TPS.pdf

Assigned Reading:

1. Lecture notes covered to date
2. Chapter 1 of online lecture notes
3. Anderson textbook: Sections 9.0-9.5, 9.7-9.12
4. Anderson textbook: Sections 14.0-14.2
5. Chapter 2 of online lecture notes
6. Anderson textbook: Sections 6.5-6.6
7. Chapter 3 of online lecture notes
8. Chapter 4 of online lecture notes
9. Chapter 5 of online lecture notes
10. Anderson textbook: Sections 14.4-14.8
11. Chapter 6 of online lecture notes
12. Chapter 7 of online lecture notes
13. Anderson textbook: Sections 15.1-15.3
14. Anderson textbook: Sections 15.4-15.5
15. Anderson textbook: Sections 15.8-15.9
16. NASA TP 2914 on Convective Heating
17. Anderson textbook: Sections 16.1, 16.8, 16.10-16.11, 16.13
18. Anderson textbook: Chapter 17

Course Description: Transonic small disturbance theory. Transonic potential flow modeling. Supercritical airfoil design. Physics of hypersonic flow. Newtonian flow. Modeling of hypersonic viscous and inviscid flow. Units = 3-0-3.

Prerequisites: AE 3021 (incl. compressible gas dynamics, high speed aerodynamics, incompressible boundary layer theory)

Computer programming experience (e.g. FORTRAN, JAVA, C+, MATLAB...)

Class Hours: TTh 3:05pm – 4:25pm

Office Hours: Wed 3-4:30pm or other times by appointment

Instructor: Dr. S.M. Ruffin 404-894-8200

Guggenheim Bldg. Rm 362 Email: stephen.ruffin@aerospace.gatech.edu

Primary Text:

• Modern Compressible Flow with Historical Perspective, Anderson, J.D., McGraw Hill, Third Edition, 2003.

Reference Material:

• Lecture notes from course web site

Exams: Includes closed-book, closed-notes section and another section in which equations are provided by instructor. No other information sources can be used (except your own brain)

Assignments:

· Discussing formulation of problems and approach is fine but each student must work the final solutions alone.

· All assignments must be completed on the date indicated, however, they will NOT be turned in. Instead...

· Several (approx. 4) 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 very similar to the assigned homework.

Computer Projects:

· For computer problems, each program and report the student uses and/or turns in must be a completely original work by that student. No pre-existing, or "canned", routines are to be used except those provided by the instructor.

· Projects are due at the beginning of class on the date indicated.

· Projects are deducted 10% credit if received by the subsequent class period. Projects that are more that 1 class period late are not accepted (except documented emergency).

· A numerical grade will be assigned to each computer project.

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/

AE 6020

HIGH-SPEED FLOW

Learning Objectives:

The student will be able to model transonic and hypersonic flow phenomena over airfoils, wings, and reentry vehicles. The student will also learn to design supercritical airfoils.

COURSE OUTLINE:

Transonic Aerodynamics

1. Introduction
2. Derivation of the Transonic Small Disturbance (TSD) Equations
3. Numerical Solutions of the TSD Equations
4. Derivation of the Full Potential Equations (FPE)
5. Numerical Solutions of the Full Potential Equations
6. Supercritical Airfoil Design
7. Viscous/Inviscid Interaction in Transonic flow
8. Unsteady Transonic Flow

Hypersonic Aerodynamics

1. Introduction
2. Hypersonic Shock and Expansion Relations
3. Local Surface Inclination Methods
4. Hypersonic Small Disturbance Theory and Applications
5. CFD Methods for Inviscid Flow
6. Viscous Hypersonic Flow and Heat Transfer
7. CFD Methods for Viscous Flow
8. High Temperature Effects

Tentatively, the final grade will be based on:

Homework Quizzes 20 %

Computer Project 1 10 %

Computer Project 2 10%

Midterm Exam 30 %

Final Exam 30 %