Objectives of Programme's Learning Outcomes

• Mobilise a structured set of scientific knowledge and skills and specialised techniques in order to carry out mechanical engineering missions, using their expertise and adaptability.
• Master and appropriately mobilise knowledge, models, methods and techniques specific to mechanical engineering.
• Assess the validity of models and results in view of the state of science and characteristics of the problem.
• Communicate and exchange information in a structured way - orally, graphically and in writing, in French and in one or more other languages - scientifically, culturally, technically and interpersonally, by adapting to the intended purpose and the relevant public.
• Argue to and persuade clients, colleagues, teachers and boards, both orally and in writing.
• Contribute by researching the innovative solution of a problem in engineering sciences.
• Collect and analyse data rigorously.

Learning Outcomes of UE

Identify the fundation of subsonic aerodynamics.
Establish, by using complex functions, the application of rigorous developments and the application of the notions of fluid mechanics, the basic rules of incompressible subsonic aerodynamics of 2D lifting airfoils for low speed subsonic flows where compressibility effects are negligible. Analyze the 3D behaviours of finite span wings.

Identify the fundation of compressible subsonic and supersonic aerodynamics.
Understand and determine, when examining gas and vapor flows, the fundamental differences due to compressibility effects between subsonic and supersonic regimes and the various phenomena of saturation and the links between speed, pressure, temperature and density of compressible flows.

UE Content: description and pedagogical relevance

Reminder of the notions of lift, drag, Reynolds number and Mach number.
Incompressible Aerodynamics - Inviscid incompressible flows and subsonic aerodynamics: General laws on vortex conservation; Irrotational flows, potential flows and complex potential functions for 2D flow; Superposition principle; Blasius' laws, lifting profiles; Conformal mapping and Joukowski transformation; Kutta-Joukowsky theorem, resulting force and moment; Catalogue of the lift profiles: effects of camber, thickness and impacts on the behavior of the boundary layer; Panels method. Incompressible potential flow around aerofoil : Validation, limitation and aerofoil trends. 3D effects of finite span wings: notion of induced drag.
Compressible aerodynamics - Compressible fluids, 1st ans 2nd laws of thermodynamics, Mach number, supersonic speed and rule of forbidden signals: adiabatic and isentropic flows in streamtube of variable sections, Fanno flows, Rayleigh flows, normal and oblique shocks; Prandtl-Meyer flows and Mach waves.

Prior Experience

Fundamentals of fluid mechanics; Number and complex functions; Fundamentals of thermodynamics.

Type(s) and mode(s) of Q2 UE assessment

• Oral examination - Face-to-face

Q2 UE Assessment Comments

See modalities of the AA "Aerofoils and wings incompressible aerodynamics"
See modalities of the AA "Advanced fluid mechanics"

Method of calculating the overall mark for the Q2 UE assessment

50% for AA "Aerofoils and wings incompressible aerodynamics" and 50% for AA "Advanced fluid mechanics"

Type(s) and mode(s) of Q3 UE assessment

• Oral examination - Face-to-face

Q3 UE Assessment Comments

Examination procedure identical to that of the Q2 assessment. 

Method of calculating the overall mark for the Q3 UE assessment

identical to that of the Q2 assessment.