ACM30200 Mathematical Fluid Dynamics I

Academic Year 2023/2024

The course aims to provide the student with the basic mathematical background and tools to model fluid motion. The course will develop a physical understanding of fluid flows that can be observed in a variety of situations in everyday life. Examples include: the lift on a aircraft wing, flow of water in a river, bubbles rising in a liquid, a jet engine exhaust.ContentThe idea of a continuum. Pathlines, streamlines and streaklines. Material derivative. Relative motion. Reynolds transport theorem, Continuity equation, Momentum equation, Stress tensor. Newtonian fluids: Navier Stokes equation, Energy equation, Exact solutions, Vorticity equation and Kelvin's theorem, Streamfunction, velocity potential and Bernoulli's equation. 2D inviscid flow and complex potential, Circular cylinder and drag and lift, Boundary layer equation and Blasius flow, Turbulent flow.

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Curricular information is subject to change

Learning Outcomes:

After taking this unit, students should:- be familiar with and able to manipulate the mathematics of a continuum model of fluid flow. This includes how to describe the kinematics of the motion, the notion of fluid pressure and the equations expressing the conservation of mass and momentum within the flow.- be able to solve a variety of fundamental fluid flow problems using a variety of techniques introduced during the course. - be aware of the wide range of applications of fluid mechanics to many practical situations in industry and the environment.- be able to appreciate how to model other physical systems.

Student Effort Hours: 
Student Effort Type Hours


Specified Learning Activities


Autonomous Student Learning




Approaches to Teaching and Learning:
Lectures, tutorials, enquiry and problem-based learning. 
Requirements, Exclusions and Recommendations
Learning Recommendations:

ACM20150 Vector Calculus, ACM20020 Oscillations & Waves, or equivalent

Module Requisites and Incompatibles
Foundations of Fluid Mechanics (MAPH30200)

Assessment Strategy  
Description Timing Open Book Exam Component Scale Must Pass Component % of Final Grade In Module Component Repeat Offered
Assignment: Individual written assignments Varies over the Trimester n/a Standard conversion grade scale 40% No


Class Test: Individual written class test Varies over the Trimester n/a Standard conversion grade scale 40% No


Examination: final examination 2 hour End of Trimester Exam No Standard conversion grade scale 40% No



Carry forward of passed components
Resit In Terminal Exam
Autumn Yes - 2 Hour
Please see Student Jargon Buster for more information about remediation types and timing. 
Feedback Strategy/Strategies

• Group/class feedback, post-assessment

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