- 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.
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
More precisely, by the end of the course, the student will be capable |
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”.
- 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.
- Course lectures
- Session of exercices
- 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
- P.A. Thompson, Compressible Fluid Dynamics, 1988.
- Additional notes for the course LMECA2195, available on the moodle site of the course.
- Announcement of the homeworks, available on the moodle site of the course.
- P.A. Thompson, Compressible Fluid Dynamics, 1988. Mandatory.
- Additional notes for the course LMECA2195. Mandatory, available on the moodle site of the course.
- Announcement of the homeworks. Mandatory, available on the moodle site of the course.
- H.W. Liepmann & A. Roshko, Elements of Gas dynamics, Dover Edition, 1993. Recommended.
- P.A. Thompson, Compressible Fluid Dynamics, 1988.
- Additional notes for the course LMECA2195, available on the moodle site of the course.
- Announcement of the homeworks, available on the moodle site of the course.