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16.540

Internal Flows in Turbomachines

3-0-9 units · Graduate

Internal fluid motions in turbomachines, propulsion systems, ducts and channels, and other fluid machinery. Useful basic ideas, fundamentals of rotational flows, loss sources and loss accounting in fluid devices, unsteady internal flow and flow instability, flow in rotating passages, swirling flow, generation of streamwise vorticity and three-dimensional flow, non-uniform flow in fluid components.

Spring 2006

In 16.540 we address fluid dynamic phenomena of interest in internal flow situations. The emphasis tends to be on problems that arise in air breathing propulsion, but the application of the concepts covered is more general, and the course is wider in scope, than turbomachines (in spite of the title). Stated more directly, the focus is on the fluid mechanic principles that determine the behavior of a broad class of industrial devices. The material can therefore be characterized, only partly tongue in cheek, as "industrial strength fluid mechanics done in a rigorous manner".

Readings

  • Greitzer, E., C. Tan, and M. Graf. Internal Flow: Concepts and Applications . Cambridge, UK: Cambridge University Press, 2004. ISBN: 9780521343930.
    Listed reading
  • LEC #: 2 · READINGS: 2.3, 2.3.1, 2.3.2, 2.4.1, and 2.4.2.
    Reading assignment
  • LEC #: 3 · READINGS: 2.8 through 2.8.3, 2.9 through 2.9.2, and 2.10 through 2.10.3.
    Reading assignment
  • LEC #: 4 · READINGS: 3.1 through 3.2.2.
    Reading assignment
  • LEC #: 5 · READINGS: 3.3 through 3.4.2.
    Reading assignment
  • LEC #: 6 · READINGS: 3.5 through 3.7.
    Reading assignment
  • LEC #: 7 · READINGS: 3.8 through 3.10.1.
    Reading assignment
  • LEC #: 8 · READINGS: 3.12 through 3.14.1.3.
    Reading assignment
  • LEC #: 9 · READINGS: 9.9 through 9.10.3.
    Reading assignment
  • LEC #: 10 · READINGS: 5.1 through 5.3.
    Reading assignment
  • LEC #: 11 · READINGS: 5.4 through 5.4.3.
    Reading assignment
  • LEC #: 12 · READINGS: 5.5 through 5.5.6.
    Reading assignment
  • LEC #: 13 · READINGS: 5.6 through 5.6.3.
    Reading assignment
  • LEC #: 14 · READINGS: 5.6.5 through 5.6.5.1, and 5.7 through 5.7.2.
    Reading assignment
  • LEC #: 15 · READINGS: 5.9 through 5.11.
    Reading assignment
  • LEC #: 16 · READINGS: 7.1 through 7.4.1.
    Reading assignment
  • LEC #: 17 · READINGS: 7.4.2 through 7.4.3.
    Reading assignment
  • LEC #: 18 · READINGS: 7.6 through 7.6.2.
    Reading assignment
  • LEC #: 19 · READINGS: 7.8 through 7.9.
    Reading assignment
  • LEC #: 20 · READINGS: 9.7 through 9.7.3, and 9.8 through 9.8.1.
    Reading assignment
  • LEC #: 21 · READINGS: 6.1 through 6.3.1.
    Reading assignment
  • LEC #: 22 · READINGS: 6.4 through 6.4.5.
    Reading assignment
  • LEC #: 23 · READINGS: 6.5 through 6.5.2.
    Reading assignment
  • LEC #: 24 · READINGS: 6.6 through 6.6.3, 6.7, and 6.8.2.
    Reading assignment
  • LEC #: 25 · READINGS: 12.7 through 12.7.1.
    Reading assignment
  • Batchelor, G. K. An Introduction to Fluid Dynamics. Cambridge, UK: Cambridge University Press, 2000. ISBN: 9780521663960.
    Listed reading
  • Johnston, J. P. “Internal Flows.” In Turbulence . Edited by P. Bradshaw. New York, NY: Springer-Verlag, 1976. ISBN: 9780387077055.
    Listed reading
  • Buy at MIT Press Fay, J. A. Introduction to Fluid Mechanics . Cambridge, MA: MIT Press, 1994. ISBN: 9780262061650. ↗
    Listed reading
  • Sabersky, R., A. Acosta, and E. Hauptmann. Fluid Flow: A First Course in Fluid Mechanics . New York, NY: MacMillan Publishers, 1998. ISBN: 9780135763728.
    Listed reading
  • Schlichting, H. Boundary Layer Theory . New York, NY: McGraw-Hill, 2004. ISBN: 9783540662709.
    Listed reading
  • White, F. M. Viscous Fluid Flow . New York, NY: McGraw-Hill, 2005. ISBN: 9780072402315.
    Listed reading
  • Lighthill, J. An Informal Introduction to Theoretical Fluid Mechanics . Oxford, UK: Oxford University Press, 1988. ISBN: 9780198536307.
    Listed reading
  • Buy at MIT Press National Committee. Illustrated Experiments in Fluid Mechanics . Cambridge, MA: MIT Press, 1972. ISBN: 9780262640121. (See especially the chapter on Vorticity by Shapiro). ↗
    Listed reading
  • Panton, P. Incompressible Flow . New York, NY: Wiley, 2005. ISBN: 9780471261223.
    Listed reading
  • Rosenhead, L., ed. Laminar Boundary Layers. New York, NY: Dover, 1988, chapter 2. ISBN: 9780486656465.
    Listed reading
  • Saffman, P. G. Vortex Dynamics. Cambridge, UK: Cambridge University Press, 1995. ISBN: 9780521477390.
    Listed reading
  • Scorer, R. S. Environmental Aerodynamics . New York, NY: John Wiley & Sons, 1978. ISBN: 9780470992708.
    Listed reading
  • Sherman, F. S. Viscous Flow . New York, NY: McGraw-Hill, 1990. ISBN: 9780070565791.
    Listed reading
  • Pianko, M., and F. Wazelt. “Suitable Averaging Techniques in Non-uniform Internal Flows.” AGARD AR, Propulsion and Energetic Panel Working Group 14, no. 182 (1983).
    Listed reading
  • Cumpsty, N. A. Compressor Aerodynamics . Melbourne, FL: Krieger Publishing, 2004. ISBN: 9781575242477.
    Listed reading
  • Cumpsty, N. A., and J. H. Horlock. “Averaging Non-Uniform Flow with a Purpose.” IGTI Paper GT2005-68081, 2005.
    Listed reading
  • Denton, J. D. “Loss Mechanisms in Turbomachines.” ASME J Turbomachinery 115 (1993): 621-656.
    Listed reading
  • Prasad, A. “Calculation of the Mixed-Out State in Turbomachine Flows.” ASME J Turbomachinery 127 (2005): 564-572.
    Listed reading
  • Greenspan, H. P. The Theory of Rotating Fluids. Cambridge, UK: Cambridge University Press, 1968. ISBN: 9780521051477.
    Listed reading
  • Kleppner, D, and R. J. Kolenkow. An Introduction to Mechanics . New York, NY: McGraw-Hill, 1973. ISBN: 9780070350489. (There are many good dynamics books with discussions of Coriolis forces; this one gives a treatment at an elementary and instructive level.)
    Listed reading
  • Tritton, D. Physical Fluid Dynamics . Oxford, UK: Oxford University Press, 1988. ISBN: 9780198544937.
    Listed reading
  • Paduano, J. D., E. M. Greitzer, and A. H. Epstein. “Compression System Stability and Active Control.” Annual Review of Fluid Mechanics 33 (2001): 491-517.
    Listed reading
  • Horlock, J. H. Axial Flow Compressors: Fluid Mechanics and Thermodynamics, Axial Flow Turbines. Melbourne, FL: Krieger Publishing, 1982. ISBN: 9780882750965.
    Listed reading
  • ———. Axial Flow Turbines: Fluid Mechanics and Thermodynamics, Axial Flow Turbines. Melbourne, FL: Krieger Publishing, 1973. ISBN: 9780882750972.
    Listed reading
  • Rosenhead, L., ed. Laminar Boundary Layers. New York, NY: Dover, 1988, chapter 6. ISBN: 9780486656465.
    Listed reading

Prerequisites & course information

Prereq: 2.25 or permission of instructor Acad Year 2027-2028: G (Spring) Acad Year 2028-2029: Not offered 3-0-9 units

Sources