Compressible Flow

Readings

Additional references are given below to either supplement the discussion in the text by Anderson or, in the sections listed, to provide a source for material that he does not cover.

Basic Equations

Many textbooks have derivations of the equations of motion. We list some below. The discussion in Reference 3 (indeed the whole book) is very clear.

1. Anderson, J. D. Modern Compressible Flow with Historical Perspective. McGraw-Hill Publishers, 1990.
2. Emmons, H. W. Fundamentals of Gas Dynamics, Chapter 1, “The Equations of Gas Dynamics”, by H. S. Tsien, Volume III in the Princeton Series of Volumes on “High Speed Aerodynamics and Jet Propulsion”, Princeton University Press, 1958 (Be warned: there is a mistake in the derivation of the energy equation in differential form!)
3. Liepmann, H., and A. Roshko. Elements of Gas Dynamics. John Wiley Publishers, 1957 (see chapters 7 and 13).
4. Schlichting, H. Boundary Layer Theory. 7th ed. McGraw-Hill Publishers, 1979. Chapter 3.
5. Thompson, P. A. Compressible Fluid Dynamics. Maple Press Company, 1984.
6. White, F. M. Viscous Fluid Flow. 2nd ed. McGraw-Hill Publishers, 1991. Chapter 2.
7. Greitzer, E.M., Tan, C.S, Graf, M.B. and J.E. Ffowcs Williams (Ed.). Internal Flow: Concepts and applications. Cambridge University Press, 2004. Chapter 1.

Quasi-One-Dimensional Compressible Flow

The basics of this topic are also in many texts. Reference 7 is the classic text on the subject. References 5 and 6 give very readable introductory discussions. Reference 3 could also be entitled as “everything you wanted to know (or might ever conceive of wanting to know!) about quasi one-dimensional flow”. References 1, 2, and 10 give discussion of the extensions to classical one-dimensional gas dynamics that we will discuss.

1. Anderson, L. R., W. H. Heiser, and J. C. Jackson. “Axisymmetric One-Dimensional Compressible Flow—Theory and Applications.” ASME Transactions, Journal of Applied Mechanics (1970): pp. 917-923.
2. Bernstein, A., W. H. Heiser, and C. Hevenor. “Compound-Compressible Nozzle Flow.” AS_ME Transactions, Journal of Applied Mechanics_ (1967): 548-554.
3. Emmons, H. W. Fundamentals of Gas Dynamics, Chapter 2, “The Equations of Gas Dynamics,” by L. Crocco, Volume III in the Princeton Series of Volumes on “High Speed Aerodynamics and Jet Propulsion”. Princeton University Press, 1958.
4. Heiser, W. H., and D. T. Pratt. Hypersonic Airbreathing Propulsion. AIAA Education Series, 1994. Chapter 2.
5. Hill, P., and C. Peterson. Mechanics and Thermodynamics of Propulsion. Addison Wesley Publishers, 1992. Chapter 3.
6. Li, W.-H., and S. -H. Lam. Principles of Fluid Mechanics. Addison-Wesley Publishing Company, 1964. Chapters 14 and 15.
7. Shapiro, A. H. The Dynamics and Thermodynamics of Compressible Fluid Flow. Vol. 1. Ronald Press. Chapters 1 to 8.
8. Tew, D. E., B. S. Teeple, and I. A. Waitz. “Mixer-Ejector Noise Suppressor Model.” J. Propulsion and Power 14. No. 6 (1998): 941-950.
   (This shows a recent application and extension of the compound compressible flow ideas in reference 2)
9. Thompson, P. A. Compressible Fluid Dynamics. Maple Press Company, 1984.
10. Greitzer, E.M., Tan, C.S, Graf, M.B. and J.E. Ffowcs Williams (Ed.). Internal Flow: Concepts and applications. Cambridge University Press, 2004. Chapters 2, 10, 11.

Disturbance Behavior in a Compressible Flow

1. Dowling, A. P., and J. E. Ffowcs Williams. Sound and Sources of Sound. Ellis Horwood Press, 1983.
2. Lighthill, J. Waves in Fluids. Cambridge University Press, 1978.
3. Morse, P. M., and Ingard. Theoretical Acoustics. Princeton University Press, 1986.
4. Thompson, P. A. Compressible Fluid Dynamics. Maple Press Company, 1984.
5. Greitzer, E.M., Tan, C.S, Graf, M.B. and J.E. Ffowcs Williams (Ed.). Internal Flow: Concepts and applications. Cambridge University Press, 2004. Chapter 6.

Gas Dynamic Discontinuities

1. Hayes, W. D. Gasdynamic Discontinuities. No. 3. Princeton Aeronautical Paperbacks. Princeton, NJ: Princeton University Press, 1960.

Two-Dimensional, Compressible, Linear Flows

1. Ashley, H., and M. Landahl. Aerodynamics of Wings and Bodies. Reading MA: Addison-Wesley Publishing Co., Inc., 1965.
2. Katz, J. and A. Plotkin. Low-Speed Aerodynamics: From Wing Theory to Panel Methods. New York, NY: McGraw-Hill, Inc., 1991.

Two-Dimensional, Compressible, Non-Linear Flows

1. Landahl, M. T. Unsteady Transonic Flow. New York, NY: Pergamon Press, 1961.
2. Chernyi, G. G. Introduction to Hypersonic Flow. New York, NY: Academic Press, 1961.