Gas Dynamics

One-dimensional compressible flows including basic concepts; isentropic flow; normal and oblique shock waves; flows with heat transfer (Rayleigh line), friction (Fanno line), and mass addition; simple waves; small perturbation theory for linearized, steady flows; method of characteristics for two-dimensional, steady flow and one-dimensional, unsteady flow.

ME51000

Credit Hours:

3

Learning Objective:

This course is designed to introduce seniors and beginning graduate students to the fundamentals of compressible fluid flow, with an emphasis on a wide variety of steady, one-dimensional flow problems and a general understanding of the principles of multi-dimensional flow.

Description:

One-dimensional compressible flows including basic concepts; isentropic flow; normal and oblique shock waves; flows with heat transfer (Rayleigh line), friction (Fanno line), and mass addition; simple waves; small perturbation theory for linearized, steady flows; method of characteristics for two-dimensional, steady flow and one-dimensional, unsteady flow.

Spring 2023 Syllabus

Topics Covered:

Flow of compressible fluids; One-dimensional flows including basic concepts, isentropic flow, normal and oblique shock waves, Rayleigh line, Fanno line, and simple waves; Multidimensional flows including general concepts, small perturbation theory for linearized flows, and method of characteristics for nonlinear flows.

Prerequisites:

A first course in fluid mechanics or aerodynamics is required. Additionally, students must have taken a course in thermodynamics, dynamics, calculus, ordinary differential equations, and partial differential equations.

Applied / Theory:

35 / 65

Web Address:

https://mycourses.purdue.edu/

Web Content:

Homework assignments, lecture slides, and to check grades.

Homework:

Homework exercises will be posted on Brightspace every couple of weeks. Homework will not be collected for grading. The solutions will be posted a week after the problems are posted so that students can check their work and seek help in office hours on points that they do not understand. It is highly recommended that students diligently solve these problems to ensure understanding of the material to enable strong exam performance. 

Projects:

None.

Exams:

There are 2 in-class exams and a final exam. Exams are closed book and closed notes. You will be allowed to use the tables in the back of your text book (recommended book is Zucrow & Hoffman from the reference list) for the exams and a formula sheet will be provided. Students in the EPE section will have an exam window of 11:30am-11:30pm on the day of the exam and will use the live proctor option in Examity. More inform on setting this up will be available in the first month of the semester.

Textbooks:

Reference Texts:

  • Zucrow, M.J. & Hoffman, J.D., Gas Dynamics: Volume I, Wiley. ISBN: 047198440X
  • Shapiro, A.H., The Dynamics and Thermodynamics of Compressible Fluid Flow. Vol I., Wiley. ISBN: 047106691-5
  • Liepmann, H.W. and Roshako, A., Elements of Gas Dynamics, Wiley, ISBN: 041534609
  • Oosthuizen, P.H. and Carscallen, W.E., Compressible Fluid Flow, McGraw-Hill. ISBN: 0-07-048197-0, 0-07-048198-9
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