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Compressible Flows

MANE 4960/6960 Compressible Flows at Rensselaer Polytechnic Institute.

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MANE 4960/6960 · Senior & graduate elective

Compressible Flows

From the speed of sound to hypersonic nonequilibrium flows, with the material tied to ongoing research, recent advances and history.

  • Cross-listed, senior & graduate
  • 3 credit hours
  • Prerequisite: MANE 2720 Fluid Mechanics
  • Spring 2024, Spring 2025

About the course

This course is a technical elective for senior and graduate students (cross-listed), offering a comprehensive exploration of compressible flow principles. Throughout the course, a wide range of concepts and their real-world applications are examined.

This includes a detailed analysis of fundamental elements such as the speed of sound and Mach number, isentropic quasi-1D flow in variable-area ducts, converging nozzles, choking, converging–diverging nozzles, moving shocks, blast waves, shock tubes, Rayleigh flow, Fanno flow, normal and oblique shocks, expansion fans, and other topics as time permits. We also develop potential flow theory for small disturbances across the subsonic, transonic, supersonic and hypersonic nonequilibrium regimes, with a specific emphasis on its application to aerothermodynamics.

The practical implications of the material are explained within the framework of the professor’s ongoing research, contemporary advancements and historical context.

Topics

  • Speed of sound and Mach number
  • Isentropic quasi-1D flow in variable-area ducts
  • Converging and converging–diverging nozzles, choking
  • Moving shocks, blast waves and shock tubes
  • Rayleigh and Fanno flow
  • Normal and oblique shocks, expansion fans
  • Linearized potential flow: subsonic, transonic, supersonic
  • Hypersonic nonequilibrium flows and aerothermodynamics

Textbooks

  • J. D. Anderson, Modern Compressible Flow: With Historical Perspective, 4th ed.
  • J. D. Anderson Jr., Hypersonic and High-Temperature Gas Dynamics, 3rd ed., AIAA Education Series, 2014.

Course materials

MANE 4960/6960 syllabus (PDF). PDF
Compressible Flows Syllabus

Syllabus

Course information, textbooks, topics, grading and policies for MANE 4960/6960.

MANE 4960/6960Spring 2025
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