everything.study
2.26

Advanced Fluid Dynamics

4-0-8 units · Graduate

Fundamentals of fluid dynamics intrinsic to natural physical phenomena and/or engineering processes. Discusses a range of topics and advanced problem-solving techniques. Sample topics include brief review of basic laws of fluid motion, scaling and approximations, creeping flows, boundary layers in high-speed flows, steady and transient, similarity method of solution, buoyancy-driven convection in porous media, dispersion in steady or oscillatory flows, physics and mathematics of linearized instability, effects of shear and stratification. In alternate years, two of the following modules will be offered: I: Geophysical Fluid Dynamics of Coastal Waters, II: Capillary Phenomena, III: Non-Newtonian Fluids, IV: Flagellar Swimming.

Spring 2004 · Compressible Fluid Dynamics

Topics

  • Mass Conservation, Euler’s Equation
  • Thermo
  • Variable Area Flow, Choked Flow, Subsonic and Supersonic Nozzles, Restrictors
  • Energy Equation
  • Flow with Heat Addition, Rayleigh Line
  • Hugoniot Relation, Normal Shocks, Moving Shocks, Weak and Strong Shocks
  • Oblique Shocks
  • Continuum Shock Wave Structure
  • Piston Problems, Boundary Interactions, Shock Tubes
  • Steady 2D Supersonic Flows: Mach Waves, Prandtl-Meyer Function, Expansion Fans
  • Term Paper Presentations

Readings

  • Shapiro, A. H. “Flow in Ducts with Heating or Cooling Source.” Chapter 7 in The Dynamics and Thermodynamics of Compressible Fluid Flow. Vol 1. Hoboken, NJ: John Wiley & Sons, 1953.
    Listed reading
  • Vincenti, W. B., and C. H. Kruger. Introduction to Physical Gas Dynamics . Melbourne, FL: Krieger, 1975, pp. 412-421.
    Listed reading
  • Schetz, J. A. Chapter 4 in Foundations of Boundary Layer Theory for Momentum, Heat, and Mass Transfer . Englewood Cliffs, NJ: Prentice-Hall, 1984. ISBN: 9780133293340.
    Listed reading
  • ———. Chapter 5 in Foundations of Boundary Layer Theory for Momentum, Heat, and Mass Transfer . Englewood Cliffs, NJ: Prentice-Hall, 1984. ISBN: 9780133293340.
    Listed reading
  • Taylor, Geoffrey. “The Formation of a Blast Wave by a Very Intense Explosion. I. Theoretical Discussion_._” Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences 201, no. 1065 (1950): 159-174.
    Listed reading
  • ———. “The Formation of a Blast Wave by a Very Intense Explosion. II. The Atomic Explosion.” Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences 201, no. 1065 (1950): 175-186.
    Listed reading
  • Thompson, P. A. Compressible Fluid Dynamics . New York, NY: McGraw-Hill, 1972. ISBN: 9780070644052. (Required) This book is out of print, but reprints may be available from some university bookstores.
    Listed reading
  • Landau, L. D., and E. M. Lifshitz. Fluid Mechanics . 2nd ed. Woburn, MA: Butterworth-Heinemann, 1995.
    Listed reading
  • Liepmann, H. W., and A. Roshko. Elements of Gas Dynamics . Mineola, NY: Dover Publications, 2001. Originally from Wiley, 1957.
    Listed reading
  • Oosthuizen, P. H., and W. E. Carscallen. Compressible Fluid Flow . New York: McGraw-Hill, 1997.
    Listed reading
  • Saad, M. A. Compressible Fluid Flow . 2nd ed. Upper Saddle River, NJ: Prentice-Hall, 1993.
    Listed reading
  • White, F. M. Viscous Fluid Flow . 2nd ed. New York: McGraw-Hill, 1991. Good material on compressible boundary layer flows.
    Listed reading
  • Zel’dovich, Ya. B., and Yu. P. Raizer. Physics of Shock Waves and High-Temperature Hydrodynamics Phenomena . Mineola NY: Dover Publications, 2002. Originally in two volumes from Academic Press, 1967; covers a wide range of advanced topics.
    Listed reading
  • Courant, R., and K. O. Friedrichs. Supersonic Flow and Shock Waves . New York: Springer-Verlag, 1976.
    Listed reading
  • Shapiro, A. H. Compressible Fluid Flow 1 and 2. Hoboken NJ: John Wiley & Sons, 1953. Good coverage of one-dimensional flow.
    Listed reading
  • Anderson, J. D. Modern Compressible Flow with Historical Perspective . 2nd ed. New York: McGraw-Hill, 1990. Written from an aerodynamicists’s perspective.
    Listed reading
  • Vincenti, W. G., and C. H. Kruger. Introduction to Physical Gas Dynamics. Melbourne, FL: Krieger, 1975. Good on molecular phenomena and shock wave structure.
    Listed reading

Prerequisites & course information

Same subject as 1.63[J] , HST.536[J] Prereq: 18.085 and ( 2.25 or permission of instructor) G (Spring) Not offered regularly; consult department 4-0-8 units

Sources