MAT2102

Introduction to fluid dynamics

Coordinator: Dr Michael Reeder

4 points
* Two 1-hour lectures per week
* Second semester
* Clayton
* Prerequisites: MAT2030
* Corequisites: MAT2040
* Prohibitions: ATM3172, MAA2042

Objectives On the completion of this subject students will be able to review the kinematics of fluid flow in a continuum model, and develop such notions as particle paths, velocity, material derivatives and vorticity; understand the development of the equations of mass and momentum, in particular in an inviscid incompressible fluid; become familiar with frictionless two-dimensional flow.

Synopsis Fluid properties, compressibility and viscosity. Inviscid, incompressible fluids. Velocity field, continuity. Pressure. Equations of motion in various forms. Energy and Bernoulli's equation. Potential flow and its significance, drag. Two-dimensional solutions to Laplace's equation. Complex potential, cylinder with circulation.

Assessment Examination (2 hours): 80%
* Tests and assignments: 20%

Recommended texts

Lighthill J An informal introduction to theoretical fluid mechanics OUP, 1986