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 2020 in Semester 1 at Clayton. It needs (MTH2010, MTH2015 or ENG2005) and (MTH2032 or MTH2040).
- Credit points
- 6
- Offered in 2020
- Semester 1
- Clayton
This is the 2020 handbook entry. See the 2027 entry.
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Requisites
Before MTH3360
Prerequisites
Pass these before you enrol.
After MTH3360
No unit lists MTH3360 as a prerequisite in the 2020 handbook.
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 dimensional analysis; Reynolds number. Low Reynolds number flows. Vorticity; circulation; Helmholtz' vorticity equation; properties of vorticity; Kelvin's circulation theorem. Lubrication theory. Inviscid flows; potential flows. Boundary layer equations and flows.
Offerings in 2020
| Teaching period | Campus | Mode |
|---|---|---|
| First semester | Clayton | On campus |
| First semester (Fully flex) | Clayton | Flexible |
Learning outcomes
When you finish 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.
Workload and teaching
Three 1-hour lectures and one 2-hour applied class per week
Where it fits
MTH3360 is part of 5 areas of study in the 2020 handbook.
- APPLMTH05Applied mathematics elective unitsApplied mathematicsNo reviews yet
- APPLMTH07Applied mathematics elective unitsApplied mathematicsNo reviews yet
- MTHSTAT07Mathematical statistics elective unitsMathematical statisticsNo reviews yet
- MATHS05Mathematics elective unitsMathematicsNo reviews yet
- MATHS06Mathematics elective unitsMathematicsNo reviews yet
Contacts
- Unit Coordinators
- Professor Philip Hall
- Chief Examiners
- Professor Philip Hall
Common questions
What are the prerequisites for MTH3360?
You need (MTH2010, MTH2015 or ENG2005) and (MTH2032 or MTH2040) before you enrol.
When is MTH3360 offered?
In 2020, MTH3360 runs in Semester 1 at Clayton.
Which majors and minors include MTH3360?
MTH3360 is part of Applied mathematics, Mathematical statistics and Mathematics.