PHY3041 : Advanced Fluid Dynamics
- Offered for Year: 2021/22
- Incoming Study Abroad and Exchange students must contact and seek approval from school prior to enrolling
- Module Leader(s): Professor Carlo Barenghi
- Owning School: Mathematics, Statistics and Physics
- Teaching Location: Newcastle City Campus
Semesters
|
Semester 1 Credit Value:
|
10
|
|
ECTS Credits:
|
5.0
|
|
Aims
To present advanced topics of fluid dynamics building on the introductory concepts developed at Stage 2.
Module Summary
To introduce the mathematical tools to model two-dimensional inviscid flows more advanced than seen at Stage 2 and to predict the motion of realistic viscous flows using the Navier-Stokes equation. To illustrate the variety of solutions of the Navier-Stokes equation in the physical world, paying attention to topics such as transitions of flow patterns, and including a selection of applications (such as turbulent flows, lift forces, flying, convection, weather, climate).
Outline Of Syllabus
Review of elementary fluid dynamics presented in MAS2803 (e.g. continuity equation, Euler equation, vorticity, stream function, complex potential for two-dimensional flows). More advanced
complex complex potential methods to include singularities (sources, vortices), boundaries (method of images, microscopic and macroscopic description of viscosity, the Navier-Stokes equation, no-slip boundary conditions, analytic solutions of the Navier-Stokes equation (e.g. channel flows in Cartesian and cylindrical geometries, Couette flows, oscillating flows). Transitions to complex vortex flows (flows past cylinder, Taylor-Couette, and Reynolds problems). Dimensionless variables, Reynolds number, introduction to turbulence and energy cascade. Applications may include Milne-Thomson Theorem, Rayleigh-Benard thermal convection, drag, Magnus (lift) force, Hamiltonians, flows in rotating frames (Coriolis, centrifugal and Poincare forces), weather and climate.
Teaching Methods
Teaching Activities
| Category |
Activity |
Number |
Length |
Student Hours |
Comment |
|---|
| Scheduled Learning And Teaching Activities | Lecture | 5 | 1:00 | 5:00 | Problem Classes – Synchronous On-Line |
| Scheduled Learning And Teaching Activities | Lecture | 2 | 1:00 | 2:00 | Revision Lectures – Present in Person |
| Guided Independent Study | Assessment preparation and completion | 15 | 1:00 | 15:00 | Completion of in course assessments |
| Scheduled Learning And Teaching Activities | Lecture | 20 | 1:00 | 20:00 | Formal Lectures - Present in Person |
| Guided Independent Study | Independent study | 58 | 1:00 | 58:00 | Preparation time for lectures, background reading, coursework review |
| Total | | | | 100:00 | |
Jointly Taught With
| Code |
Title |
|---|
| MAS3803 | Advanced Fluid Dynamics |
Teaching Rationale And Relationship
Lectures are used for the delivery of theory and explanation of methods, illustrated with examples, and for giving general feedback on marked work. Problem Classes are used to help develop the students’ abilities at applying the theory to solving problems.
Assessment Methods
The format of resits will be determined by the Board of Examiners
Exams
| Description |
Length |
Semester |
When Set |
Percentage |
Comment |
|---|
| Written Examination | 120 | 1 | A | 80 | N/A |
Exam Pairings
| Module Code |
Module Title |
Semester |
Comment |
|---|
| MAS3803 | Advanced Fluid Dynamics | 1 | N/A |
Other Assessment
| Description |
Semester |
When Set |
Percentage |
Comment |
|---|
| Prob solv exercises | 1 | M | 10 | Coursework assignment |
| Prob solv exercises | 1 | M | 10 | Coursework assignment |
Assessment Rationale And Relationship
A substantial formal unseen examination is appropriate for the assessment of the material in this module. The coursework assignments allow the students to develop their problem solving techniques, to practise the methods learnt in the module, to assess their progress and to receive feedback; these assessments have a secondary formative purpose as well as their primary summative purpose.
In the event of on-campus examinations not being possible, an on-line alternative assessment will be used for written examination 1.
Reading Lists
Timetable
