Undergraduate Course: Fluid Dynamics (MATH11248)
Course Outline
School  School of Mathematics 
College  College of Science and Engineering 
Credit level (Normal year taken)  SCQF Level 11 (Year 5 Undergraduate) 
Availability  Available to all students 
SCQF Credits  10 
ECTS Credits  5 
Summary  The course will introduce the mathematical theory of fluid dynamics, including relevant physical quantities (e.g. velocity, vorticity, density, pressure, stress, viscosity), conservation laws (e.g., energy, helicity, circulation), and various mathematical representations (e.g., Eulerian vs Lagrangian). The course will discuss methods for obtaining solutions to the nonlinear fluid equations and apply those solutions to several applied problems (e.g., laminar vs turbulent flow, waves and instabilities). 
Course description 
Kinematics: continuum model, paths & material surfaces, advective derivatives, kinematic boundary conditions, mass conservation &incompressibility.
Dynamics: momentum (Euler's) equation, hydrostatic balance, Bernoulli's Theorem, Kelvin's Circulation Theorem.
Inviscidflow applications include (e.g.): irrotational potential flow, conformal maps, point & sheet vortex dynamics.
Viscousflow applications include (e.g.): laminar stokes flow, boundary layers, turbulence & energy cascades.
Possible additional topics: waves, instabilities and bubbles.

Information for Visiting Students
Prerequisites  None 
High Demand Course? 
Yes 
Course Delivery Information

Academic year 2024/25, Available to all students (SV1)

Quota: None 
Course Start 
Semester 2 
Timetable 
Timetable 
Learning and Teaching activities (Further Info) 
Total Hours:
100
(
Lecture Hours 22,
Seminar/Tutorial Hours 10,
Summative Assessment Hours 2,
Programme Level Learning and Teaching Hours 2,
Directed Learning and Independent Learning Hours
64 )

Assessment (Further Info) 
Written Exam
80 %,
Coursework
20 %,
Practical Exam
0 %

Additional Information (Assessment) 
Coursework : 20%
Examination : 80% 
Feedback 
Not entered 
Exam Information 
Exam Diet 
Paper Name 
Hours & Minutes 

Main Exam Diet S2 (April/May)  Fluid Dynamics (MATH11248)  2:00  
Learning Outcomes
On completion of this course, the student will be able to:
 state and work with the equations governing the motion of an incompressible, inviscid fluid.
 define and work with fluid velocity, vorticity and pressure both mathematically and heuristically.
 present and solve incompressible and nonvortical flow equations using potential theory.
 present and solve incompressible and nonvortical flow equations using potential theory.

Reading List
Batchelor, An introduction to fluid dynamics, Cambridge university press, 2000.
Kundu, Cohen & Dowling, Fluid Mechanics, Elsevier 2016.
Landau & Lifshitz, Fluid Mechanics  Course of Theoretical Physics, Volume 6. Vol. 6. Elsevier, 2013. 
Additional Information
Graduate Attributes and Skills 
Not entered 
Keywords  FDy 
Contacts
Course organiser  Dr Geoff Vasil
Tel: (0131 6)50 4899
Email: gvasil@ed.ac.uk 
Course secretary  Mr Martin Delaney
Tel: (0131 6)50 6427
Email: Martin.Delaney@ed.ac.uk 

