5 credits
30.0 h + 30.0 h
Q2
Teacher(s)
Papalexandris Miltiadis;
Language
English
Main themes
- Governing equations of compressible flows
- Steady and unsteady compressible flows in one dimension
- Steady compressible flows in two and three dimensions
- Supersonic combustion, detonations
- Subsonic combustion - deflagrations, explosions
- Introduction of multiphase compressible flows.
Aims
At the end of this learning unit, the student is able to : | |
| 1 | With respect to the reference AA of the programme of studies "Masters degree in Mechanical Engineering", this course contributes to the development and acquisition of the following skills
Study of compressible gaseous flows, including supersonic flows. Study of reacting flows in which compressibility effects are deemed important. Presentation of industrial and technological applications |
The contribution of this Teaching Unit to the development and command of the skills and learning outcomes of the programme(s) can be accessed at the end of this sheet, in the section entitled “Programmes/courses offering this Teaching Unit”.
Content
- Steady and unsteady compressible flows in one dimension Euler equations, characteristic decomposition, boundary conditions.
- Simple waves, shock waves. Rankine-Hugoniot relations.
- Steady compressible flows in two and three dimensions. Prandtl-Meyer expansion. Supersonic flow around projectiles. Method of characteristics. Oblique shocks.
- Unsteady flows. Shock formation, Riemmann problem. Piston-induced flow. Wave interactions. Viscosity effects. Introduction to numerical methods.
- Detonations. Introduction. Chapman-Jouguet theory. ZND theory. Stability analysis. Multi-dimensional structure. Applications.
Teaching methods
- Course lectures
- Session of exercices
Evaluation methods
- Written exam, with open books and notes. The score on the exam counts for 70% of the overall score on the course.
- 3 homework assignments. The score on each assignment counts for 10% of the overall score on the course
Online resources
Bibliography
- P.A. Thompson, Compressible Fluid Dynamics, 1988. Obligatoire.
- Notes additionnelles du cours LMECA2195. Obligatoire, disponible sur le site moodle du cours.
- Enoncés des devoirs. Obligatoire, disponible sur le site moodle du cours.
- H.W. Liepmann & A. Roshko, Elements of Gas dynamics, Dover Edition, 1993. Conseillé.
Faculty or entity
MECA
