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, effects of viscosity and conductivity. 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

Coordinator
Subha Kumpaty

Announcement

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Milwaukee School of Engineering

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ME 882 - Compressible Flow