APP MTH 4102 - Fluid Mechanics - Honours
North Terrace Campus - Semester 1 - 2022
General Course Information
Course Code APP MTH 4102 Course Fluid Mechanics - Honours Coordinating Unit School of 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 2201) and (MATHS 2101 or MATHS 2202 or ELEC ENG 2106)) Assumed Knowledge MATHS 2104 or MATHS 2107 Restrictions Honours students only Course Description 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.
Course Coordinator: Dr Trent Mattner
The full timetable of all activities for this course can be accessed from Course Planner.
Course Learning OutcomesStudents 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 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)
Attribute 1: Deep discipline knowledge and intellectual breadth
Graduates have comprehensive knowledge and understanding of their subject area, the ability to engage with different traditions of thought, and the ability to apply their knowledge in practice including in multi-disciplinary or multi-professional contexts.
Attribute 2: Creative and critical thinking, and problem solving
Graduates are effective problems-solvers, able to apply critical, creative and evidence-based thinking to conceive innovative responses to future challenges.
- Elementary fluid dynamics, Acheson, Oxford University Press.
- An introduction to fluid mechanics, Batchelor, Cambridge University Press.
- Introduction to theoretical and computational fluid dynamics, Pozrikidis, Oxford University Press.
- Fluid dynamics theory, computation, and numerical simulation, Pozrikidis, Springer.
Online LearningAll course materials will be made available on MyUni.
Learning & Teaching Activities
Learning & Teaching ModesThis course relies on course videos, online quizzes and workshops to guide students through the material, tutorial classes for peer and tutor support, and a sequence of written assignments that provide opportunities for students to practise techniques and develop their understanding of the course.
The information below is provided as a guide to assist students in engaging appropriately with the course requirements.
Activity Quantity Workload hours Course videos and quizzes 50 Workshops 12 12 Tutorials 10 20 Test 1 10 Assignments 5 50 Project 1 14 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 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 Task Type Weighting Learning Outcomes Quizzes Formative and Summative 5 % All Assignments Formative and Summative 25 % All Project Summative 10 % All Test Summative 10 % All Exam Summative 50 % All
Assessment Related RequirementsAn aggregate score of at least 50% is required to pass the course.
Assessment Item Distributed Due Date Weighting Quizzes Weekly Weekly 5 % Assignment 1 Week 2 Week 4 5 % Assignment 2 Week 4 Week 6 5 % Assignment 3 Week 6 Week 8 5 % Assignment 4 Week 8 Week 10 5 % Assignment 5 Week 10 Week 12 5 % Project Week 8 Week 12 10 % Exam Exam period 50 %
SubmissionAssignments must be submitted according to the policies and procedures published on the Fluid Mechanics - Honours MyUni site.
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 Access Adelaide.
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