UUM 622B "Advanced Problems in Compressible Flow"

Spring Semester 2002

COURSE OUTLINE

The assumption is made that all students have had an introductory course dealing with the fundamentals of inviscid compressible flows such as the topics in section A below. This material will be reviewed at the beginning of the semester but a rapid pace. Since this material is critical for the development of the other topics, you must make sure early on that you have a thorough understanding of it.

In this course we will take this basic material and build on it, focusing largely on the areas listed below. The objectives are 1) to give you a firm understaning of the physical processes in these aspects of high speed flows and, 2) an understanding of the theory governing these phenomena, the assumption behind it, and the ensuing limitations. The course will be a balance between the theory and applications.

 

basic thermodynamics, 1st and 2nd Laws

1-D conservation equations

steady isentropic flow

stationary normal and oblique shock waves

Prandtl-Meyer expansion

1-D flow with heat addition and friction

  • Applications of Isentropic Flow/Shocks/Expansions
  • converging-diverging nozzles, on and off-design conditions

    continuous and blowdown wind tunnel design, start-up and operations

    intersection of shocks with solid surfaces, shocks with shocks, shocks with free boundaries, shocks with expansion supersonic aircraft inlets

  • Conical Shock Waves
  • physical aspects of conical flow

    Taylor-Maccoll theory

    numerical procedure

    dissipative mechanics in shocks

    estimation of shock thickness

  • Unsteady Wave Motion
  • moving normal shock waves

    reflected shock waves

    shock tubes, explosions

    fundamental of acoustic theory

    finite waves

    unsteady expansion waves

  • Method of Characteristics
  • introduction and general philosophy

    characteristic lines

    compatibility equations

    supersonic nozzle design

  • The Time Dependent Technique and its Application to Blunt Body Flows
     
  • High Mach Number Flows