APP MTH 3002 - Fluid Mechanics III

North Terrace Campus - Semester 1 - 2021

Fluid flows are important in many scientific and technological problems including atmospheric and oceanic circulation, energy production by chemical or nuclear combustion in engines and stars, energy utilisation in vehicles, buildings and industrial processes, and biological processes such as the flow of blood. Considerable progress has been made in the mathematical modelling of fluid flows and this has greatly improved our understanding of these problems, but there is still much to discover. This course introduces students to the mathematical description of fluid flows and the solution of some important flow problems. Topics covered are: the mathematical description of fluid flow in terms of Lagrangian and Eulerian coordinates; the derivation of the Navier-Stokes equations from the fundamental physical principles of mass and momentum conservation; use of the stream function, velocity potential and complex potential are introduced to find solutions of the governing equations for inviscid, irrotational flow past bodies and the forces acting on those bodies; analytic and numerical solutions of the Navier-Stokes equation.

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Course Details

Course Code	APP MTH 3002
Course	Fluid Mechanics III
Coordinating Unit	Mathematical Sciences
Term	Semester 1
Level	Undergraduate
Location/s	North Terrace Campus
Units	3
Contact	Up to 3 hours per week
Available for Study Abroad and Exchange	Y
Prerequisites	(MATHS 2102 or MATHS 2106 or MATHS 2107) and (MATHS 2101 or MATHS 2202 or ELEC ENG 2106)
Assumed Knowledge	MATHS 2104 or MATHS 2107
Assessment	Ongoing assessment, final exam

Course Staff

Course Coordinator: Dr Trent Mattner

Course Timetable

The full timetable of all activities for this course can be accessed from .

Course Learning Outcomes

Students who successfully complete the course should:

1. understand the basic concepts of fluid mechanics.

2. understand the mathematical description of fluid flow.

3. understand the conservation principles governing fluidflows.

4. be able to solve inviscid flow problems using streamfunctions and velocity potentials.

5. be able to compute forces on bodies in fluid flows.

6. be able to solve (analytical and numerical) viscous flow problems.

7. be able to use mathematical software packages (Matlab) in solution methods.

最新糖心Vlog Graduate Attribute	Course Learning Outcome(s)
Deep discipline knowledge informed and infused by cutting edge research, scaffolded throughout their program of studies acquired from personal interaction with research active educators, from year 1 accredited or validated against national or international standards (for relevant programs)	all
Critical thinking and problem solving steeped in research methods and rigor based on empirical evidence and the scientific approach to knowledge development demonstrated through appropriate and relevant assessment	4,5,6,7

Learning & Teaching Modes

Short video recordings and online quizzes introduce course material.

Tutorials consolidate understanding of course material and help develop problem-solving skills.

Assignments give you the opportunity to practise these skills and get feedback on your work.

Workload

The information below is provided as a guide to assist students in engaging appropriately with the course requirements.

Activity	Quantity	Workload hours
Lecture videos and quizzes		72
Tutorials	10	24
Tests	1	12
Assignments	4	48
TOTALS		156

Learning Activities Summary

Schedule
Week 1	Eulerian and Lagrangian coordinates, pathlines, streaklines, streamlines.
Week 2	Suffix notation, material derivative.
Week 3	Decomposition of local fluid motion.
Week 4	Mass conservation, incompressible flow, stream function.
Week 5	Forces, Cauchy equation of motion, Navier-Stokes equations.
Week 6	Solutions of the Navier-Stokes equations
Week 7	Fourier pseudospectral methods
Week 8	Fourier pseudospectral methods
Week 9	Euler equations, Bernoulli equation, velocity potential, Laplace equation
Week 10	Souces, sinks, dipoles, superposition, forces on bodies, circulation.
Week 11	Complex potential
Week 12	Dynamic similarity

The 最新糖心Vlog's policy on Assessment for Coursework Programs is based on the following four principles:

Assessment must encourage and reinforce learning.
Assessment must enable robust and fair judgements about student performance.
Assessment practices must be fair and equitable to students and give them the opportunity to demonstrate what they have learned.
Assessment must maintain academic standards.

Assessment Summary

Assessment
Task	Type	Weighting	Learning Outcomes
Assignments	Formative and Summative	30 %	All
Test	Summative	20 %	All
Exam	Summative	50 %	All

Assessment Related Requirements

An aggregate score of at least 50% is required to pass the course.

Assessment Detail

Assessment Item	Distributed	Due Date	Weighting
Assignment 1	Week 2	Week 4	7.5 %
Assignment 2	Week 4	Week 6	7.5 %
Test		Week 8	15 %
Assignment 3	Week 8	Week 10	7.5 %
Assignment 4	Week 10	Week 12	7.5 %

Submission

Assignments must be submitted according to the policies and procedures published on the Fluid Mechanics III MyUni site.

Course Grading

Grades for your performance in this course will be awarded in accordance with the following scheme:

M10 (Coursework Mark Scheme)
Grade	Mark	Description
FNS		Fail No Submission
F	1-49	Fail
P	50-64	Pass
C	65-74	Credit
D	75-84	Distinction
HD	85-100	High Distinction
CN		Continuing
NFE		No Formal Examination
RP		Result Pending

Further details of the grades/results can be obtained from Examinations.

Grade Descriptors are available which provide a general guide to the standard of work that is expected at each grade level. More information at Assessment for Coursework Programs.

Final results for this course will be made available through .

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Maintained by:	Course Outlines Administrator

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