Module Identifier PHM1010
Module Title FLUID DYNAMICS
Co-ordinator Professor Geraint Vaughan
Semester Semester 1
Other staff Dr Sian A Jones
Pre-Requisite Successful Completion of Year 3 of the MPhys Scheme
Course delivery Lecture   20 lectures
Seminars / Tutorials   2 seminars / tutorials
Assessment
Assessment TypeAssessment Length/DetailsProportion
Semester Exam3 Hours End of semester examinations  90%
Semester Assessment Course Work: One Assignment  10%

#### Learning outcomes

After taking this module students should be able to:
• use the mathematical form of conservation equation for fluid flow.
• solve simple two-dimensional flows.
• describe the nature of flows where viscosity is not negligible.
• understand and be able to describe the origins of flow instabilities and fluid turbulence.
• describe the influence of compressibility effects on fluid flows.
• apply the basic principles of aerodynamics to simple problems.

#### Brief description

Fluid dynamics, the description of the motion of fluids, is an area of science that finds application across a wide range of scientific topics. The present module aims to provide a general introduction to the basic mathematical theory used in fluid dynamics as well as giving a more physical introduction to some common fluid flows of practical interest.

The module will commence with a general introduction to the general properties of fluids followed by a treatment of the basic governing conservation equations. Some examples of two-dimensional inviscid flows will be presented followed by the introduction of a discussion of the influence of viscosity. The effect of viscosity will be then included and the Navier Stokes equations derived. The origin and importance of some common flow instabilities will then be described together with an introduction to fluid turbulence. An introduction to compressible flows will also be given. All of the above will be supported by reference to examples of fluid flows in practice. These will include flows such as flows over aerofoils, magnetohydrodynamnics, atmospheric flows, pipe and jet flows and shock wave formation.

#### Content

Introduction to basic fluid properties

Review of relevant thermodynamics

Conservation equations for mass, energy and momentum: Benoulli equation

Two-dimensional potential flow

Viscous flows

Instability and turbulence

Navier Stokes equations

Turbulent flows

Boundary Layers

(Non linear dynamics)

Introduction to aerofoils

Stream function

Incompressible, inviscid 2-D flow

Conformal mapping and flow over aerofoils.