May 22, 2024  
2019-2020 Graduate Academic Catalog 
2019-2020 Graduate Academic Catalog [ARCHIVED CATALOG]

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ME 882 - Compressible Flow

3 lecture hours 0 lab hours 3 credits
Course Description
This course covers one-dimensional gas dynamics; shocks and waves, two-dimensional flows, perturbation theory; similarity rules, linearized velocity-potential equation. The course culminates in a computer project in which a supersonic nozzle will be designed using the method of characteristics. (prereq: ME 317 or equivalent)
Course Learning Outcomes
Upon successful completion of this course, the student will be able to:
  • Apply engineering principles and analyze problems dealing with compressible flow and gas dynamics
  • Compare shock expansion with linearized theory for subsonic and supersonic flow over airfoils
  • Design a supersonic nozzle using the method of characteristics

Prerequisites by Topic
  • Fluid mechanics
  • Thermodynamics (covering II Law)

Course Topics
  • Review of the fundamentals (laws of thermodynamics, conservation of mass, momentum and energy, entropy changes for perfect gases, stagnation properties)
  • Introduction to compressible flow (sonic velocity, Mach number, stagnation relations in terms of Mach number, total pressure loss and entropy change relation, isentropic flow tables)
  • Standing normal shocks
  • Fanno flow and applications
  • Rayleigh flow and applications
  • Oblique shocks
  • Prandtl-Meyer flow (including lift and drag calculations on airfoils at various angles of attack)
  • Varying-area adiabatic flow (convergent-divergent nozzle, diffuser, choking)
  • Supersonic nozzle experiment and Mach number calculations
  • Topic: applications of compressible flow in propulsion systems (example: ramjet engine)
  • Differential conservation equations
  • Moving normal shock waves
  • Velocity potential equation
  • Linearized flow: subsonic and supersonic
  • Conical flow
  • Method of characteristics
  • Finite difference techniques for steady supersonic flow

Laboratory Topics
  • Supersonic nozzle experiment

Dr. Subha Kumpaty

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