UnitLevel 3Undergraduate

MTH3360 Fluid dynamics

Faculty of Science

MTH3360 Fluid dynamics is a level 3, 6-credit-point, undergraduate unit from the Faculty of Science, offered in 2027 in Semester 1 at Clayton. It needs (MTH2010, MTH2015 or ENG2005) and MTH2032.

Credit points
6
Offered in 2027
Semester 1
Clayton
Assessment
Exam 50%
and 1 other task

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Requisites

Overview

Fluid flows are all around us, from waves on the beach to microorganisms navigating their environment, and mathematics allows us to make precise and useful predictions about how they behave. In this unit you will develop mathematical tools for describing, simplifying and solving problems in fluid motion. You will derive the governing Navier-Stokes equations, find exact solutions in tractable cases, and learn systematic methods for reducing them when the geometry or physical parameters of a problem allow. You will see familiar tools from your mathematical training reappear in a physical setting, encounter new ones as the problems demand them, and learn to reason about what solutions should look like and why.

Offerings in 2027

Teaching periodCampusMode
First semesterClaytonOn campus

Assessment

  • Continuous assessmentDemonstration
    50%
  • Final assessment - Exam (3 hours and 10 minutes)Examination
    50%

Assessment details may change. Please refer to the assessment information in Moodle closer to the start of the teaching period.

Learning outcomes

When you finish this unit, you should be able to:

  1. 1

    Describe fluid motion mathematically using the continuum framework;

  2. 2

    Summarise the derivation of the governing Navier-Stokes equations;

  3. 3

    Use dimensional analysis and scaling to identify the dominant physical balance in a flow;

  4. 4

    Derive simplified governing equations for specific flow regimes and assess the validity of those reductions;

  5. 5

    Obtain solutions to the governing and reduced equations in tractable cases;

  6. 6

    Interpret solutions physically and critically assess their accuracy, limitations, and range of validity.

Workload and teaching

  • Lectures24 hours
  • Applied sessions36 hours
  • Teaching approachOnline learning
  • Teaching approachActive learning
  • Teaching approachPeer assisted learning
  • 2 hours of pre-recorded lectures;
  • One 3-hour applied class and
  • 7 hours of independent study per week.

Lecture material will be delivered via pre-recorded videos.

You will work through problems as a group.

In the applied classes, you will do a double-pass quiz (you will first complete the quiz alone and then in a pair/three) to check your understanding of the lecture material.  You will then work on a problem sheet in a group of three/four students at a whiteboard.

Contacts

Unit Coordinators
Dr Anja Slim
Chief Examiners
Dr Anja Slim

Common questions

What are the prerequisites for MTH3360?

You need (MTH2010, MTH2015 or ENG2005) and MTH2032 before you enrol.

When is MTH3360 offered?

In 2027, MTH3360 runs in Semester 1 at Clayton.

Does MTH3360 have an exam?

Yes. The exam is worth 50% of the final mark, alongside 1 other task.

More details

Credit points
6
Level
3
Study level
Undergraduate
Faculty
Faculty of Science
Organisational unit
School of Mathematics
Type
Coursework
EFTSL
0.125
Student contribution
SCA Band 2
Study abroad
Available