APP MTH 4102 - Fluid Mechanics - Honours
North Terrace Campus - Semester 1 - 2018
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General Course Information
Course Details
Course Code APP MTH 4102 Course Fluid Mechanics - Honours 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 Prerequisites (MATHS 2101 and MATHS 2102) or (MATHS 2201 and MATHS 2202) Assumed Knowledge MATHS 2104 Assessment Ongoing assessment 30%, final exam 70% Course Staff
Course Coordinator: Dr Trent Mattner
Email: barry.cox@adelaide.edu.au
Office: Ingkarni Wardli, Rm 637
Phone: 8313 5079
Administrative Enquiries: School of Mathematical Sciences Office, Level 6, Ingkarni WardliCourse Timetable
The full timetable of all activities for this course can be accessed from .
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Learning Outcomes
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 (Maple and Matlab) in solution methods.University Graduate Attributes
This course will provide students with an opportunity to develop the Graduate Attribute(s) specified below:
University 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 Resources
Required Resources
None.Recommended Resources
1. Elementary fluid dynamics, Acheson, Oxford University Press
2. An introduction to fluid mechanics, Batchelor, Cambridge University PressOnline Learning
This course uses MyUni exclusively for providing electronic resources, such as lecture notes,assignment papers, sample solutions, discussion boards, etc. It is recommended that the students make appropriate use of these resources.
Link to MyUni login page:
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Learning & Teaching Activities
Learning & Teaching Modes
This course relies on lectures as the primary delivery mechanism for the material. Tutorials supplement the lectures by providing exercises and example problems to enhance the understanding obtained through lectures. A sequence of written assignments provides the assessment opportunities for students to gauge their progress and understanding.Workload
The information below is provided as a guide to assist students in engaging appropriately with the course requirements.
Activity Quantity Workload hours Lectures 30 90 Tutorials 6 18 Assignments 5 48 TOTAL 156 Learning Activities Summary
Lecture Outline
1. Course outline and overview
2. Lagrangian and Eulerian desription of fluid flow
3. Pathlines, streamlines and streaklines
4. Pathlines, streamlines and streaklines
5. Suffix notation
6. Tensor notation
7. Material derivative
8. Velocity gradient tensor; fluid decomposition; rate-of-strain tensor
9. Rate-of-rotation tensor; vorticity and irrotational flow
10. Mass conservation; incompressible flow
11. Streamfunction
12. Equations of motion; external and internal forces
13. Stress tensor and Cauchy’s equation of motion
14. Navier-Stokes equations
15. Exact solutions of the Navier-Stokes equations
16. Exact solutions of the Navier-Stokes equations
17. Fourier spectral methods
18. Fourier spectral methods
19. Applications of spectral methods
20. Chebyshev spectral methods
21. Chebyshev spectral methods
22. Applications of spectral methods
23. Eulers equations, conservative forces, hydrostatics
24. Bernoulli's equation
25. Velocity potential; Laplace equation
26. Flow past closed bodies
27. Force on a body
28. Circulation and Kelvin’s circulation theorem
29. Complex potential flow and the Cauchy-Riemann equations
30. Course summary and possible non-examinable topics: conformal transformation, Joukowski transformation and flow past an aerofoil, Stokes flow, boundary layer flows, Dynamic similarity
Tutorial Outline
1. Lagrangian and Eulerian flow visualisation
2. Decomposition of local fluid motion and conservation of mass
3. Conservation of momentum and analytic solutions to the Navier Stokes equations
4. Numerical solutions using spectral methods
5. Eulers equations and complex potential
6. Revison tutorial
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Assessment
The University'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
Component Weighting Objective Assessed Assignments 30% All Exam 70% 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 1 Week 3 6% Assignment 2 Week 3 Week 5 6% Assignment 3 Week 7 Week 9 6% Assignment 4 Week 9 Week 11 6% Assignment 5 Week 11 Week 12 6% Submission
All written assignments are to be submitted to the designated hand in boxes within the School of Mathematical Sciences with a signed cover sheet attached.
Late assignments will not be accepted.
Assignments will have a two week turn-around time for feedback to students.
Course Grading
Grades for your performance in this course will be awarded in accordance with the following scheme:
M11 (Honours Mark Scheme) Grade Grade reflects following criteria for allocation of grade Reported on Official Transcript Fail A mark between 1-49 F Third Class A mark between 50-59 3 Second Class Div B A mark between 60-69 2B Second Class Div A A mark between 70-79 2A First Class A mark between 80-100 1 Result Pending An interim result RP Continuing Continuing CN 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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Student Feedback
The University places a high priority on approaches to learning and teaching that enhance the student experience. Feedback is sought from students in a variety of ways including on-going engagement with staff, the use of online discussion boards and the use of Student Experience of Learning and Teaching (SELT) surveys as well as GOS surveys and Program reviews.
SELTs are an important source of information to inform individual teaching practice, decisions about teaching duties, and course and program curriculum design. They enable the University to assess how effectively its learning environments and teaching practices facilitate student engagement and learning outcomes. Under the current SELT Policy (http://www.adelaide.edu.au/policies/101/) course SELTs are mandated and must be conducted at the conclusion of each term/semester/trimester for every course offering. Feedback on issues raised through course SELT surveys is made available to enrolled students through various resources (e.g. MyUni). In addition aggregated course SELT data is available.
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Student Support
- Academic Integrity for Students
- Academic Support with Maths
- Academic Support with writing and study skills
- Careers Services
- Library Services for Students
- LinkedIn Learning
- Student Life Counselling Support - Personal counselling for issues affecting study
- Students with a Disability - Alternative academic arrangements
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Policies & Guidelines
This section contains links to relevant assessment-related policies and guidelines - all university policies.
- Academic Credit Arrangements Policy
- Academic Integrity Policy
- Academic Progress by Coursework Students Policy
- Assessment for Coursework Programs Policy
- Copyright Compliance Policy
- Coursework Academic Programs Policy
- Intellectual Property Policy
- IT Acceptable Use and Security Policy
- Modified Arrangements for Coursework Assessment Policy
- Reasonable Adjustments to Learning, Teaching & Assessment for Students with a Disability Policy
- Student Experience of Learning and Teaching Policy
- Student Grievance Resolution Process
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