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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

Rules

Enrolment Rule

Contacts

Chief Examiner(s)

Dr Anja Slim

Unit Coordinator(s)

Dr Anja Slim

Notes

This Level 4 unit and its Level 3 counterpart MTH3360 share the same core content and learning activities such as seminars and applied classes. However, studies at Level 4 are distinguished from those at Level 3 by a deeper understanding of mathematical theories and their applications, higher levels of critical thinking, and greater autonomy in learning.

Learning outcomes

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

Critically evaluate and synthesise the extensive scope and applications of fluid dynamics within the physical sciences, demonstrating an advanced understanding of its interdisciplinary relevance

2.

Articulate and analyse the mathematical description of fluid motion, showcasing proficiency in formulating and interpreting fluid dynamics equations

3.

Summarise and critically evaluate the derivation of the equations governing incompressible fluid motion, demonstrating a deep understanding of the underlying principles.

4.

Apply the process of scaling to simplify the governing equations for both 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 demonstrate and in-depth understanding of the physical implications of the solutions and their limitations

Teaching approach

Online learning

Peer assisted learning

Active learning

Assessment

1 - Continuous assessment

2 - Final assessment - 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