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
Requisites
Prerequisite
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
Mathematical statistics
Mathematics