Global Opportunities

### 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 ActivitiesLecture51:005:00Problem Classes – Synchronous On-Line
Scheduled Learning And Teaching ActivitiesLecture21:002:00Revision Lectures – Present in Person
Guided Independent StudyAssessment preparation and completion151:0015:00Completion of in course assessments
Scheduled Learning And Teaching ActivitiesLecture201:0020:00Formal Lectures - Present in Person
Guided Independent StudyIndependent study581:0058:00Preparation time for lectures, background reading, coursework review
Total100:00
Code Title
##### 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 Examination1201A80N/A
##### Exam Pairings
Module Code Module Title Semester Comment