Gasdynamics and reacting flows

lmeca2195  2019-2020  Louvain-la-Neuve

Gasdynamics and reacting flows
Note from June 29, 2020
Although we do not yet know how long the social distancing related to the Covid-19 pandemic will last, and regardless of the changes that had to be made in the evaluation of the June 2020 session in relation to what is provided for in this learning unit description, new learnig unit evaluation methods may still be adopted by the teachers; details of these methods have been - or will be - communicated to the students by the teachers, as soon as possible.
5 credits
30.0 h + 30.0 h
Papalexandris Miltiadis;
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.

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”.
  1. Steady and unsteady compressible flows in one spatial dimension. Variable-area flows, nozzle operation, rocket equation.
  2. Compressible potential flow; subsonic and supersonic regime. Characteristic decomposition, applications to airfoils.
  3. Simple waves, normal shock waves. Rankine-Hugoniot relations.
  4. Steady compressible flows in two and three dimensions.Oblique shocks. Expansion fans and method of characteristics. Prandtle-Meyer equation. Supersonic flow around projectiles.
  5. Unsteady flows. Shock formation. Piston-induced flow. Wave interactions. Shock tubes and Riemann problem. Introduction to numerical methods.
  6. 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
  • 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

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

Title of the programme
Master [120] in Electro-mechanical Engineering

Master [120] in Mechanical Engineering