units

MTH3360

Faculty of Science

Monash University Handbook 2011 Undergraduate - Unit

6 points, SCA Band 0 (NATIONAL PRIORITY), 0.125 EFTSL

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

 Level Undergraduate Faculty Faculty of Science Offered Clayton First semester 2011 (Day) Coordinator(s) Professor Louis Moresi

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.

Objectives

On completion of this unit, students will: understand the scope of fluid dynamics in the physical sciences; understand the method of linearisation, and its application to waves in fluids; understand the physical reasons why waves may shock, and the nature of the developed shocks after they do; be familiar with the blast wave solutions, and the method of similarity; be aware of several basic numerical methods for one dimensional gas dynamics, as well as their strengths and limitations; understand how the fluid equations can be simplified for the case of an inviscid incompressible flow and be able to determine some simple irrotational flows; understand the effects of viscosity on high-speed flow, including the formation and behaviour of boundary layers; be familiar with 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%

Contact hours

Three 1-hour lectures and an average of two 1-hour support classes per week

Prerequisites

MTH2010 or MTH2015, and MTH2032, or equivalent