units

MTH3360

Faculty of Science

# Undergraduate - UnitMTH3360 - Fluid dynamics

This unit entry is for students who completed this unit in 2014 only. For students planning to study the unit, please refer to the unit indexes in the the current edition of the Handbook. If you have any queries contact the managing faculty for your course or area of study.

## 6 points, SCA Band 2, 0.125 EFTSL

Refer to the specific census and withdrawal dates for the semester(s) in which this unit is offered, or view unit timetables.

 Level Undergraduate Faculty Faculty of Science Organisational Unit School of Mathematical Sciences Offered Clayton First semester 2014 (Day) Coordinator(s) Dr Simon Clarke

### Synopsis

The basic equations of fluid dynamics; Cartesian tensors, the viscous stress tensor; equations of state; linearisation, sound and internal gravity waves; phase and group velocity; non-linear evolution; shocks; computational methods; Bernoulli's equation; vorticity and circulation; Kelvin's circulation theorem; rotational and irrotational flow; two dimensional homogenous incompressible flow; viscous effects and boundary layers; separation from a ball, with applications to cricket, golf and baseball; flow in a rotating reference frame, geostrophic flow.

### Outcomes

On completion of this unit students will be able to:

1. Understand the scope of fluid dynamics in the physical sciences;

1. Apply the method of linearisation, and apply it to the dynamics of waves in fluids;

1. Understand the physical reasons why waves may shock, and the nature of the developed shocks after they do;

1. Appreciate blast wave solutions, and the method of similarity;

1. Use several basic numerical methods for one dimensional gas dynamics, and understand their strengths and limitations;

1. Understand how the fluid equations can be simplified for inviscid incompressible flow;

1. Calculate some simple irrotational flows;

1. Understand the effects of viscosity on high-speed flow, including the formation and behaviour of boundary layers;

1. Appreciate the properties of rotating flows and the importance of the geostrophic approximation to flows on the surface of the Earth.

### Assessment

Examination (3 hours): 60%
Assignments: 20%
Tests: 20%