# Gasdynamics and reacting flows

lmeca2195  2018-2019  Louvain-la-Neuve

Gasdynamics and reacting flows
5 credits
30.0 h + 30.0 h
Q2
Teacher(s)
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 AA1.1, AA1.2, AA1.3 AA2.2, AA2.4, AA2.5 AA3.2, AA3.3 AA4.1, AA4.2, AA4.3, AA4.4 AA5.1, AA5.4, AA5.6 AA6.1, AA6.4 More precisely, by the end of the course, the student will be capable i) to use the main concepts of gas dynamics to the analysis of propulsion systems ii) to apply the main concepts of compressible flows to the analysis of the aerodynamics of aircraft and rockets iii) to perform thermo-mechanical calculations involving nonlinear waves of gas dynamics (shock waves, rarefaction waves and contact surfaces) iv) to understand and use elements of supersonic combustion and detonation dynamics to the study of explosions and of systems for hypersonic propulsion.

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.
• 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.
Teaching materials
• 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.
Faculty or entity
MECA

#### Programmes / formations proposant cette unité d'enseignement (UE)

Title of the programme
Sigle
Credits
Prerequisites
Aims
Master [120] in Electro-mechanical Engineering

Master [120] in Mechanical Engineering