The University of Southampton
Courses

# SESA3029 Aerothermodynamics

## Module Overview

Aerothemodynamics is essential to the design of high speed flight vehicles (in this context high speed refers to anything above about Mach 0.3). The subject integrates thermodynamics and fluid mechanics concepts to cover the fundamentals of compressible flow, along with applications to external and internal aerodynamics.

### Aims and Objectives

#### Learning Outcomes

##### Knowledge and Understanding

Having successfully completed this module, you will be able to demonstrate knowledge and understanding of:

• Knowledge and understanding of inviscid compressible high-speed flows (SM1b, SM1m, SM7M)
• Understanding of how the full governing equations can be simplified for sub- and supersonic flow regimes and awareness of established/emerging numerical technique to solve them (SM1b, SM1m, SM4m, SM7M, SM8M, EA5m)
• Knowledge and understanding of the basic principles of thermodynamics and heat transfer and how this integrates into high speed aerodynamics (SM3b, SM3m, EA1b, EA1m)
##### Transferable and Generic Skills

Having successfully completed this module you will be able to:

• Apply basic finite difference techniques to solve partial differential equations (EA3b)
• Communicate work in written reports (G1)
• Study and learn independently, solving engineering problems (EA3b)
##### Subject Specific Practical Skills

Having successfully completed this module you will be able to:

• Apply the inverse-design MoC technique for nozzle design (EA1b, EA1m, EA2, EA3b, EA3m, EA6M, D4)
• Apply simple correlations for estimation of convective heat transfer (EA1b, EA1m, EA2)
• Apply shock/expansion theory to external and internal aerodynamic application (EA1b, EA1m, EA2, EA3b, EA5m)
• Apply Ackerets’ theory to supersonic flow, including design optimisation (EA1b, EA1m, EA2, EA5m)
• Apply Prandtl-Glauert correction for subsonic flows (EA2, EA3b)

### Syllabus

Introduction • Review of 1D gasdynamics and basic concept from thermodynamics Two-dimensional gas dynamics • Oblique shock waves; shock reflections (regular and Mach); shock/shock interactions; Prandtl-Meyer expansion waves; shock/expansion method for airfoils; under/over-expanded flow; supersonic wind tunnel. Conservation laws and simplifications • Conservation of mass, momentum and energy leading to the compressible Navier-Stokes equations, Crocco equation. Rotational and potential flows. Euler and potential flow equations. Method of characteristics • Derivation of method of charactersitsics (MoC). 2-D supersonic nozzle design using MoC. External aerodynamics • Flow patterns in transonic and supersonic airfoil flow; critical Mach number; thin airfoils in compressible flow; velocity potential and pressure coefficient; Prandtl-Glauert transformation; Ackeret theory for supersonic airfoil flow; minimum wave drag; effect of sweepback; sub- and supersonic leading edges. Heat transfer • Elements of conduction, convection and radiation heat transfer. Laminar and turbulent boundary layers. Finite difference solution of heat equation. Heat exchangers. Application to heat transfer on high speed vehicles. Revision Coursework (e.g. MoC exercise) and examples sheets

### Learning and Teaching

#### Teaching and learning methods

Teaching and learning methods • Lectures. • Tutorials/examples classes. • Supporting material on Blackboard.

TypeHours
Follow-up work18
Revision24
Preparation for scheduled sessions18
Lecture36
Total study time150

### Assessment

#### Assessment Strategy

Can be repeated externally (100% exam) or internally.

#### Summative

MethodPercentage contribution
Continuous Assessment 30%
Final Assessment  70%

#### Repeat

MethodPercentage contribution

#### Referral

MethodPercentage contribution