ME 356:
HYPERSONIC AEROTHERMODYNAMICS

Boeing X-51A Scramjet. Credits: US Air Force.


Center for Turbulence Research, Stanford University

Spring 2019

 

Last modified: 1726 June 9, 2019.



ANNOUNCEMENTS:


- Final exam schedule: The final exam is Friday, June 7, 12:15-3:15pm, at Hewlett102.

- Chapters 1-5 course notes are posted below.

- Homework 4 is posted below.

- Homework 3 is posted below.

- Homework 2 is posted below.

- Homework 1 is posted below.

- Warmup problem set and compressible flow tables are posted below.

 


INSTRUCTOR: Javier Urzay, Ph.D. (Sr. Research Aerospace Engineer)
Office: 206 CTR Building (Center for Turbulence Research) E-mail: jurzay@stanford.edu
WWW: http://web.stanford.edu/~jurzay/

LECTURES
Tuesdays and Thursdays, 1:30 PM - 2:50 PM at 380-380D (Main Quad, Math corner).

OFFICE HOURS
Mondays 4:00-6:00 PM at Office #206, CTR Building (Center for Turbulence Research).

 


COURSE SYLLABUS
(PDF Download)

COURSE FLYER
(PDF Download)

PREREQUISITES
This course assumes previous basic knowledge in compressible flows.

COURSE DESCRIPTION
This is an introductory course focused on basic theoretical aspects of Hypersonic Flows (i.e., flows at very high Mach numbers). Topics include the description of the hypersonic environment, inviscid hypersonic flows, hypersonic laminar boundary layers, advanced thecmochemical concepts in hypersonics, and the aero-mechanics of re-entry trajectories for spacecrafts and missiles.

REFERENCE TEXTBOOKS (not required)
- J.D. Anderson, ''Hypersonic and High-Temperature Gas Dynamics'', AIAA, 2006.
- J. Bertin: "Hypersonic Aerothermodynamics", AIAA, 1991.
- W. Hayes & R.F. Probstein: "Hypersonic Flow Theory", Academic Press, 1959
- H.W. Liepmann & A. Roshko, ''Elements of Gas Dynamics'', Dover, 1957.
- A.H. Shapiro, ''The Dynamics and Thermodynamics of Compressible Fluid Flow'', Wiley, 1953.

EXAMS
Midterm Exam: Tuesday, May 8, in class.
Final Exam: Friday, June 7, 12:15-3:15pm, at Hewlett102.
Both exams will consist of two parts: i) Short Questions (closed books, closed notes, no calculator), and ii) Problems (open book and open notes, calculator allowed).

GRADING SCHEME
30% Homeworks + 30% Midterm Exam + 40% Final Exam.

REGRADING POLICY
Please contact the instructor for exam regrades.

ACADEMIC INTEGRITY
The Stanford Honor Code will be followed.

https://communitystandards.stanford.edu/student-conduct-process/honor-code-and-fundamental-standard

ACCOMMODATIONS FOR STUDENTS WITH DISABILITIES
Requests for appropriate accommodations must be presented to the instructor.

HOMEWORKS
There will be 4 homework assignments. No late homeworks will be accepted.

 


INSTRUCTOR NOTES

- Lecture Notes: (PDF Download - 100 Mb)

- Derivation of transformed compressible boundary-layer equations -scratch paper- (PDF Download)

- Compressible Flow Tables: (PDF Download)

 


MIDTERM EXAMS, HOMEWORK ASSIGNMENTS, WARMUP PROBLEM SETS, AND SOLUTIONS

Description

Handout

Due date

Solution

Statistics (X/100)

Warmup set (PDF Download)

(PDF Download)

NA

Homework 1 (PDF Download)

Tuesday April 23

(PDF Download)

AVE=106.1, STD=4.9

Homework 2 (PDF Download)

Thursday May 2

(PDF Download)

AVE=94.5, STD=4.7

Midterm Exam (PDF Download)

(PDF Download)

AVE=73.3, STD=6.5

Homework 3 (PDF Download)

Tuesday May 21

(PDF Download)

AVE=90.0, STD=12.3

Homework 4 (PDF Download)

Tuesday June 4

(PDF Download)

AVE=97.3, STD=4.8

Final Exam (PDF Download)

(PDF Download)

AVE=76.2, STD=5.2

 


SUPPLEMENTARY MATERIAL


PREVIOUS YEAR (2018) EXAMS, HOMEWORKS, AND SOLUTIONS

Description

Solution

Statistics (X/100)

Homework 1 (PDF Download)

AVE=89.2, STD=10.6

Homework 2 (PDF Download)

AVE=95.2, STD=6.9

Midterm Exam (PDF Download)

AVE=78.6, STD=12.5

Homework 3 (PDF Download)

AVE=90.7, STD=14.1

Homework 4 (PDF Download)

AVE=99.9, STD=14.7

Final Exam (PDF Download)

AVE=78.8, STD=11.4

 

AUXILIARY TEXTBOOKS

- C. Park, ''Non-equilibrium Hypersonic Aerothermodynamics'', Wiley, 1990. (advanced hypersonics)

- E.H. Hirschel & C.W. Weiland, ''Selected Aerothermodynamic Design Problems of Hypersonic Vehicles'', Springer, 2009. (applied hypersonics)

- W.G. Vincenti & C.H. Kruger, ''Introduction to Physical Gas Dynamics'', Krieger 1965. (kinetic theory of gases)

- J.D. Anderson, ''Computational Fluid Dynamics'', McGraw-Hill, 1995. (numerical methods for compressible flows)


OTHER USEFUL REFERENCES:

- "Wild Blue Yonder", American Society for Engineering Education, PRISM Magazine, Nov 2017 (PDF Download)

- I. Leyva, "The Relentless Pursuit of Hypersonic Flight", Physics Today 70 (2017) (web link)

- J. Urzay, "Supersonic combustion in air-breathing propulsion systems for hypersonic flight", Annual Review of Fluid Mechanics (2018) (PDF Download)

- Air Force Test Pilot School Edwards AFB, ''USAF Test Pilot School. Performance Phase Textbook. Volume 1" (See Ch. 6: Supersonic Aerodynamics), 1986. (PDF Download, 30MB)

- Th. von Kármán et al., "Toward new horizons: A report to General of the Army H. H. Arnold by the Army Air Forces Scientific Advisory Group." (link to repository)

- H-.S. Tsien, "Similarity laws of hypersonic flows", MIT J. Math. Phys. 25, 247-251 (1946) (PDF Download)

- G.V. Candler, "Rate effects in hypersonic flows", Annual Review of Fluid Mechanics (2019) (web link)

- J.W. Maccoll, "The Conical Shock Wave Formed by a Cone Moving at a High Speed", Proc. Roy. Soc. London A 159, 459-472 (1937) (PDF Download)

- M. van Dyke, "A study of hypersonic small-disturbance theory", NACA TN 3173 (1954) (PDF Download)

- M. van Dyke, "The combined supersonic-hypersonic similarity rule", J. Aeronaut. Sci. (1951) (PDF Download)

- W. Chester, "Supersonic flow past a bluff body with a detached shock Part II: Axisymmetrical body", J. Fluid Mech. 1, 490-496 (1956) (PDF Download)

- Th. von Kármán, "Aerodynamic heating", Proceedings of the symposium on "High temperature--a tool for the future," Berkeley, California (1956) (PDF Download)

- E. van Driest, "The problem of aerodynamic heating", Aeronautical Engineering Review (1956) (PDF Download)

- J.A. Fay and F.R. Riddell, "Theory of stagnation point heat transfer in dissociated air", J. Aeronaut. Sci. (1958) (PDF Download)

- L. Lees, "Laminar heat transfer over blunt nosed bodies at hypersonic flight speeds", J. Jet Propulsion (1956) (PDF Download)

- A. Liñán and I. Da Riva, "Chemical nonequilibrium effects in hypersonic aerodynamics", DTIC Report AD0294638 (1962) (PDF Download)

- J. Allen and A. Eggers, "A study of the motion and aerodynamic heating of ballistic missiles entering the Earth's atmosphere at high supersonic speeds", NACA TR 1381 (1958) (PDF Download)

- J. Urzay, "Numerical supersonic aerodynamics of the Soyuz/ST rocket fairing" (undergraduate CFD class project), 2004; (PDF Download).