Overview

The continuum hypothesis; notion of a fluid particle; pathlines and streamlines. Eulerian and Lagrangian frameworks; the material derivative. Conservation of mass; incompressibility; streamfunctions. Forces acting on a fluid; the stress tensor; conservation of momentum; the constitutive relation; the incompressible Navier-Stokes equations. Boundary conditions. Exact solutions of Navier-Stokes equations. Non-dimensionalization and … For more content click the Read More button below.

Offerings

S1-01-CLAYTON-ON-CAMPUS

Contacts

Chief Examiner(s)

Professor Philip Hall

Unit Coordinator(s)

Professor Philip Hall

Learning outcomes

On successful completion of this unit, you should be able to:
1.

Explain the scope of fluid dynamics in the physical sciences;

2.

Articulate the mathematical description of fluid motion;

3.

Summarise the derivation of the equations of incompressible fluid motion;

4.

Apply the process of scaling to simplify the governing equations for viscous and inertia dominated flows;

5.

Apply the process of scaling to lubrication and boundary layer flows;

6.

Solve the governing and reduced equations in simple situations and understand the physical implications of the solutions and their limitations.

Assessment

1 - Continuous assessment
2 - Examination (3 hours and 10 minutes)

Scheduled and non-scheduled teaching activities

Applied sessions
Lectures

Workload requirements

Workload

Other unit costs

Costs are indicative and subject to change.
Miscellaneous items required (Unit course reader, Printing, Stationery)- $120.

Availability in areas of study

Applied mathematics
Mathematical statistics
Mathematics