AE 3021 High Speed Aerodynamics

Fall 2001



NEWS: Last updated Wednesday November 2 at 9:30am
 

AE 3021 High Speed Aerodynamics
Fall 2001
Catalog Description: AE 3021 High Speed Aerodynamics. 3-0-3. Compressibility effects on airfoil and wing aerodynamics; supersonic potential flow; method of characteristics; boundary layer effects on airfoil and wing performance.
Text: Either Fundamental of Aerodynamics by Anderson or Bertin and Smith, 2nd Edition.  or Anderson, Fundamentals of Aerodynamics. Use texts that you used for Aerodynamics and Gas Dynamics.   Web-based notes (you are here). See Aerospace Digital Library at http://www.adl.gatech.edu


Learning Objectives: Learn to account for compressibility effects, assuming that the incompressible aerodynamic characteristics of airfoils, wings or bodies of revolution are known. Learn to estimate viscous drag characteristics of airfoils and wings in attached turbulent flow. Learn how to model 2-D supersonic flow including nozzle design.

Review Prerequisite Courses

a. Low speed aerodynamics
b. Gas Dynamics

Lecture Topics

1: Review of conservation equations

2. Review of boundary layer theory

3. Methods for predicting laminar boundary layer effects

4. Transition to turbulence; physics of turbulence

5. Reynolds averaging and models for turbulent stresses

6. Methods for computing turbulent boundary layers.

7. Compressible potential flow equation
Full Potential Equation

8. Small-disturbance form of potential equation
Linearized Potential Equation
Linearized Pressure Coefficient
Boundary Conditions
Subsonic Similarity
Airfoils in Supersonic Flow

9. Method of characteristics for supersonic flow.

10. Nonlinear techniques for supersonic flows
Shock-expansion technique
Busemann 2nd-order theory
Sources of  Drag
Drag Coefficient

11. Wings and Bodies in Compressible Flow

12. Transonic aerodynamics
Critical Mach Number
Airfoils in Transonic Flow
Supercritical airfoils
Transonic Drag Rise
Variation of Lift with M
Sweep
Supersonic and Subsonic Leading Edges
Transonic Area Rule

13. Effects of compressibility in boundary layers
 
 
 

Instructor: Dr. Narayanan M. Komerath, Professor. narayanan.komerath@ae.gatech.edu

Office: 353 Guggenheim or in the wind tunnel, 142 Guggenheim.

Grading:
2 Midterms 40%
Assignments: 30%
Final: 30%

Policies:
1. Regular and punctual attendance is mandatory. Must inform instructor of any absences.
2. No relative grading. "WYEIWYG"
3. Ask anyone for help on assignments, but what you submit for grades must be your own work.
4. Team projects: Grading will be based on both team performance and your role in it.
 
 
 
 
 
 
 
 



 
 
 
 

Policies:

1. Special Winter 8am policy: Regular and punctual attendance is mandatory. Must inform instructor of any absences. But do NOT drive in a hurry to get to class! Wake up early and get moving early instead.

2. No relative grading. "WYEIWYG"

3. Ask anyone for help on assignments, but what you submit for grades must be your own work.

4. Team projects: Grading will be based on both team performance and your role in it.
 
 

Course links index
 
 
 
Title link r theta Type Author(s)
Boundary Layers  http://www.ae.gatech.edu/research/windtunnel/classes/hispd/hispd06/rev_bl_theory.html 3 54 9  nk
Introduction to Viscous Flow  http://www.ae.gatech.edu/research/windtunnel/classes/hispd/hispd06/viscous_flow_intro.html

http://www.ae.gatech.edu/research/windtunnel/classes/shearflo/shear1/shear1.html

2 54 9  ls
Navier-Stokes equations Derivation and Solutions  http://www.ae.gatech.edu/research/windtunnel/classes/hispd/hispd06/ns_eqns.html
 

http://www.ae.gatech.edu/research/windtunnel/classes/shearflo/shear1/ns_eqns.html
 

2 54 1  ls
Derivation of Boundary layer equations  http://www.ae.gatech.edu/research/windtunnel/classes/hispd/hispd06/bleqns_deriv.html

 http://www.ae.gatech.edu/research/windtunnel/classes/shearflo/shear5/shear5.html

2 54 1  ls
Exact Solutions to the Boundary Layer equations  http://www.ae.gatech.edu/research/windtunnel/classes/hispd/hispd06/bl_exact_solns.html

 http://www.ae.gatech.edu/research/windtunnel/classes/shearflo/shear6/exact_bl.html

2 54 1  ls
Boundary Layer Profile  http://www.ae.gatech.edu/research/windtunnel/classes/hispd/hispd06/bl_profile.html

 http://www.ae.gatech.edu/research/windtunnel/classes/shearflo/shear6/blparam.html
 

2 54 1  ls
 Thwaites Method  http://www.ae.gatech.edu/research/windtunnel/classes/hispd/hispd06/thwaites_method.html

 http://www.ae.gatech.edu/research/windtunnel/classes/shearflo/shear9/thwaites.html
 

2 54 1  ls
Transition  http://www.ae.gatech.edu/research/windtunnel/classes/shearflo/shear8/transition.html 2 54 1  ls
Fluid Stresses; Stokes Relation; Stokes hypothesis  http://www.ae.gatech.edu/research/windtunnel/classes/shearflo/shear2/stresses.html 2 54 1  ls
 Nondimensionalized equations for viscous flow  http://www.ae.gatech.edu/research/windtunnel/classes/shearflo/shear3/nondim.html 2 54  1  ls
 Hagen-Poseuille Flow; 
 Axisymmetric laminar fully developed  pipe flow with pressure gradient
 http://www.ae.gatech.edu/research/windtunnel/classes/shearflo/shear3/exact.html 2 54  1  ls
 Prandtl's Boundary Layer Theory   http://www.ae.gatech.edu/research/windtunnel/classes/shearflo/shear4/Prandtl.html 2 54  1  ls
 Exact solutions of N-S eqns' Couette Flow; parallel plates  http://www.ae.gatech.edu/research/windtunnel/classes/shearflo/shear4/shear4.html 2  54  1  ls
Title link  r theta type
Expectations in a graduate course in AE   http://www.ae.gatech.edu/research/windtunnel/classes/unstaero/basics/ae6030.html#Expectations in this graduate course in  Aerospace  3  54 1
 AE 3021 High Speed Aerodynamics  Winter/Spring 2000 course page.     http://www.ae.gatech.edu/research/windtunnel/classes/hispd/hispd01/ae3021.html   3  54 1
 1. Review of Low-Speed Aerodynamics  http://www.ae.gatech.edu/research/windtunnel/classes/unstaero/basics/AE6030C1.html  3  54 1
 Review of Gas dynamics  http://www.ae.gatech.edu/research/windtunnel/classes/hispd/hispd01/review.htm  3  54
 Conservation Equations    http://www.ae.gatech.edu/research/windtunnel/classes/unstaero/conseqn/conseq.html  3  54  Komerath
 Conservation Equations     http://www.ae.gatech.edu/research/windtunnel/classes/lowspdaero/lospd2/conseq.html  2  54  Komerath
 Simplified Conservation Eqns for Low-Speed Flow   http://www.ae.gatech.edu/research/windtunnel/classes/lowspdaero/lospd3/lospd3.html  2  54
 Compressible Potential Flow Equation    http://www.ae.gatech.edu/research/windtunnel/classes/hispd/hispd02/Compressible_Potential_Flow.htm  3  54
 Potential Flow Method for low-speed flows   http://www.ae.gatech.edu/research/windtunnel/classes/lowspdaero/lospd4/lospd4.html  2  54
 Potential Flow   http://www.ae.gatech.edu/research/windtunnel/classes/unstaero/potleq/poteq.html   3  54  Komerath
 Linearized Potential Flow equation   http://www.ae.gatech.edu/research/windtunnel/classes/hispd/hispd02/Linearized_Potential_Equation.htm   3  54  Komerath
 Linearization of the Potential Flow Equation   http://www.ae.gatech.edu/research/windtunnel/classes/unstaero/linipot/linpot.html  3  54  Komerath
 Method of characteristics for supersonic flow.    http://www.ae.gatech.edu/research/windtunnel/classes/hispd/hispd03/moc.html  3  54  Komerath / Smith / Sankar
Detailed derivation of MOC for 2-D steady supersonic flow  http://www.ae.gatech.edu/research/windtunnel/classes/hispd/mjs1/moc2.html  3  54  Sankar / Smith
 Loads on Finite Wings  http://www.ae.gatech.edu/research/windtunnel/classes/unstaero/wingpan/wingflo.html  6  54  Komerath
 Unsteady Thin Airfoil Theory  http://www.ae.gatech.edu/research/windtunnel/classes/unstaero/unstaf/unstaf.html  6  54  Komerath
 Generalized Kutta Condition; Laplace-domain solutions for thin airfoils   http://www.ae.gatech.edu/research/windtunnel/classes/unstaero/laptran/laptran.html  6  54  Komerath
 Unsteady motion of airfoils: Wagner Function  http://www.ae.gatech.edu/research/windtunnel/classes/unstaero/wagner/wagner.html  6  54  Komerath
 Gusts and prescribed freestream disturbance: Kussner Function  http://www.ae.gatech.edu/research/windtunnel/classes/unstaero/kussner/kussner.html  6  54 Komerath
 Airfoils, wings and bodies of revolution in compressible flow   
Sources and types of drag  http://www.ae.gatech.edu/research/windtunnel/classes/hispd/hispd03/sources_of_drag.html  3  54  Komerath / Smith
 Wave drag coefficient in supersonic flow
 http://www.ae.gatech.edu/research/windtunnel/classes/hispd/hispd03/Drag_Coefficient.html
 4/ Aerodynamics  Komerath
Shock-Expansion Method of analyzing sueprsonic configurations  http://www.ae.gatech.edu/research/windtunnel/classes/hispd/hispd03/Shock_Expansion.html  4/Aerodynamics  Komerath
 Transonic aerodynamics 
 Review of boundary layer theory 
 Methods for predicting laminar boundary layer effects 
 Compressibility corrections 
 Transition to turbulence; physics of turbulence 
 Reynolds averaging and models for turbulent stresses 
Methods for computing turbulent boundary layers. 
 Effects of compressibility in boundary layers 
 Governing equations for compressible flow http://www.ae.gatech.edu/~msmith/academic/ae6022/AE6022-Cp2.pdf Level 6
Area: Aerodynamics
 Sankar/Smith
 Transonic 2-D FPE solver (Fortran)  http://www.ae.gatech.edu/~msmith/academic/ae6022/fpe.f  6 Aero / Code  M. Smith
 Transonic Small Disturbance Equations  http://www.ae.gatech.edu/~msmith/academic/ae6022/AE6022-Cp3.pdf  6 aerodynamics Sankar / Smith
 Solution of the Transonic Small Disturbance Equations  http://www.ae.gatech.edu/~msmith/academic/ae6022/AE6022-Cp4.pdf 6 Aerodynamics Sankar/Smith
 Numerical Solution of the TSD eqns  http://www.ae.gatech.edu/~msmith/academic/ae6022/AE6022-Cp5.pdf 6 Aero  Sankar/Smith
  TSD Fortran code  http://www.ae.gatech.edu/~msmith/academic/ae6022/tsd.f  6 Aero / Code  Susan Essig
 Numerical Airfoil Design  http://www.ae.gatech.edu/~msmith/academic/ae6022/AE6022-Cp6.pdf  6 Aero  Sankar/Smith
 O-grid Generator Fortran code: Karman-Trefftz Mapping  http://www.ae.gatech.edu/~msmith/academic/ae6022/ogrid.f  6 Aero / Code  M. Smith
 NACA 0012 input deck for grid generator  http://www.ae.gatech.edu/~msmith/academic/ae6022/ogrid.inp  6 Aero/ Data  M. Smith
 Unsteady Transonic Aerodynamics  http://www.ae.gatech.edu/~msmith/academic/ae6022/AE6022-Cp7.pdf  6 Aero  Sankar/Smith
Cp vs. X/C for NACA0012 at 2 deg. AOA and M=0.76. E/NS results  http://www.ae.gatech.edu/~msmith/academic/ae6022/Test.gif  6 Aero / Data  Ref. 86 ???
 Advanced Potential Flow   http://www.ae.gatech.edu/research/windtunnel/classes/unstaero/basics/ae6030.html
 Low Speed Aerodynamics  http://www.ae.gatech.edu/research/windtunnel/classes/lowspdaero/lospd1/lospd1.html  2/Aero  Komerath
 Basic Concepts & Resulst in Aerodynamics  http://www.ae.gatech.edu/research/windtunnel/classes/lowspdaero/lospd1/lospd1.html#BASIC CONCEPTS AND RESULTS IN  2/Aero  Komerath
 Fluid Motion  http://www.ae.gatech.edu/research/windtunnel/classes/lowspdaero/lospd2/lospd2.html
 Fundamental of Fluid Mechanics  http://www.ae.gatech.edu/research/windtunnel/classes/unstaero/basics/AE6030C2.html  3/Aero  Komerath
 Kelvin's Theorem in aerodynamics  http://www.ae.gatech.edu/research/windtunnel/classes/unstaero/kelvin/kelvin.html  6/Aero  Komerath
 Advanced Potential Flow: Part 2  http://www.ae.gatech.edu/research/windtunnel/classes/unstaero/unstaf2/ae6031.html  7/Aero  Komerath
 Introduction to unsteady aerodynamics  http://www.ae.gatech.edu/research/windtunnel/classes/unstaero/unstaf2/ae603101.html  7/Aero  Komerath
 Unsteady airfoil aerodynamics in supersonic flow  http://www.ae.gatech.edu/research/windtunnel/classes/unstaero/unstaf2/unstaf2.html  7/Aero  Komerath
 Wing Aerodynamics in supersonic flow  http://www.ae.gatech.edu/research/windtunnel/classes/unstaero/wing2/wingflo2.html  7/Aero  Komerath
 Slender Wing Theory  http://www.ae.gatech.edu/research/windtunnel/classes/unstaero/slender/slender1.html  7/Aero Komerath
 Selected Results from Slender Body Theory  http://www.ae.gatech.edu/research/windtunnel/classes/unstaero/slender/slender2.html  7/Aero Komerath
 Unsteady Slender Wing Theory  http://www.ae.gatech.edu/research/windtunnel/classes/unstaero/slender/slender3.html  7/Aero
 Vortex-dominated flows at high angles of attack  http://www.ae.gatech.edu/research/windtunnel/classes/unstaero/vortflo1/vortflo1.html
 Shear layer control: Free shear layers in jets  http://www.ae.gatech.edu/research/windtunnel/courses/ae4813/flocon3/flocon3.html  5 Aerodynamics  Komerath
 Screech tones from supersonic flows, and their suppression  http://www.ae.gatech.edu/research/windtunnel/courses/ae4813/flocon3/screech.html
 General Issues regarding Flow Diagnostic Techniques  http://www.ae.gatech.edu/research/windtunnel/classes/flodiag/gen/g01.html  6/Aerodynamics  Komerath
 Survey of Flow Diagnostic Techniques  http://www.ae.gatech.edu/research/windtunnel/classes/flodiag/gen/g02.html  6/Aerodynamics  Komerath
 Digital Signal Processing: Statistical techniques  http://www.ae.gatech.edu/research/windtunnel/classes/flodiag/dsp/b01.html  6/Aerodynamics  Komerath
 Introduction to Electro-optics and lasers  http://www.ae.gatech.edu/research/windtunnel/classes/flodiag/optics/c01.html  6/Aerodynamics  Komerath
 Flow Control: Introduction and Obvious Applications  http://www.ae.gatech.edu/research/windtunnel/courses/ae4813/flocon1/ch1and2.html#Chapter 1: Introduction  6/ Aerodynamics  Komerath
 Scaling Effects: Why the interest in micro-and nano- techniques  http://www.ae.gatech.edu/research/windtunnel/courses/ae4813/flocon1/ch1and2.html#microscaling  6/ Aerodynamics  Komerath
 The lock-in phenomenon  http://www.ae.gatech.edu/research/windtunnel/courses/ae4813/flocon1/ch1and2.html#flowoscil  6/Aerodynamics  Komerath
 Summary of derviation of the Orr-Sommerfeld Equation  http://www.ae.gatech.edu/research/windtunnel/courses/ae4813/flocon1/orrsom/orrsom.html  6/ Aerodynamics  Komerath
 Basic Ideas in Flow Control  http://www.ae.gatech.edu/research/windtunnel/courses/ae4813/flocon1/ch1and2.html#Basic Ideas in Flow Control  6/ Aerodynamics  Komerath
 Theoretical Tools: Summary  http://www.ae.gatech.edu/research/windtunnel/courses/ae4813/flocon1/ch1and2.html#Theoretical Tools  6/Aerodynamics  Komerath
 Flow Separation and its Control  http://www.ae.gatech.edu/research/windtunnel/courses/ae4813/flocon4/flocon4.html  6/Aerodynamics  Komerath
 References on Flow Control  http://www.ae.gatech.edu/research/windtunnel/courses/ae4813/refs.html  6/Aerodynamics  Komerath
 High-Angle-of- Attack Aerodynamics Literature  http://www.ae.gatech.edu/research/windtunnel/classes/highaofa/highaofa.html