## Mathematics 2 - AERO50006

### Aims

This module builds on first year Mathematics and introduces more advanced concepts including Vector Calculus, Partial Differential Equations, Complex Analysis, Probability, and the theory of Signals and Systems.

### Role

Lecturer

## Flow Instability and Transition - AERO70032 / 97082

### Aims

Study of laminar-turbulent transition represents a major branch of modern Fluid Dynamics. The transition takes place due to the fact that at a sufficiently large value of the Reynolds number the flow becomes unstable, in the sense that small perturbations, introduced in the laminar flow due to, say, acoustic noise or free-stream turbulence, are no longer damped by the viscous effects. Instead they start to grow in time, leading to the transition to turbulent state of the flow. In this lecture course modern mathematical techniques that are used to predict the conditions when the laminar-turbulent transition takes place will be discussed.

### Role

Course Leader

## Flow Instability and Transition S8 - MSc AERO70032

### Aims

Study of laminar-turbulent transition represents a major branch of modern Fluid Dynamics. The transition takes place due to the fact that at a sufficiently large value of the Reynolds number the flow becomes unstable, in the sense that small perturbations, introduced in the laminar flow due to, say, acoustic noise or free-stream turbulence, are no longer damped by the viscous effects. Instead they start to grow in time, leading to the transition to turbulent state of the flow. In this lecture course modern mathematical techniques that are used to predict the conditions when the laminar-turbulent transition takes place will be discussed.

### Role

Course Leader