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# ACM30200

#### Mathematical Fluid Dynamics I (ACM30200)

Subject:
Applied & Computational Maths
College:
Science
School:
Mathematics & Statistics
Level:
3 (Degree)
Credits:
5
Module Coordinator:
Dr James Herterich
Trimester:
Spring
Mode of Delivery:
On Campus
Internship Module:
No

Curricular information is subject to change.

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.

###### 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
Lectures

36

Specified Learning Activities

24

Autonomous Student Learning

40

Total

100

###### 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
Equivalents:
Foundations of Fluid Mechanics (MAPH30200)

###### Assessment Strategy
Description Timing Component Scale Must Pass Component % of Final Grade In Module Component Repeat Offered
Assignment(Including Essay): Individual assignment Week 5, Week 10 Alternative linear conversion grade scale 40% No
20
No
Quizzes/Short Exercises: Class Test Week 7 Alternative linear conversion grade scale 40% No
10
No
Exam (In-person): Final Exam End of trimester
Duration:
2 hr(s)
Alternative linear conversion grade scale 40% No
70
No

###### Carry forward of passed components
No

Resit In Terminal Exam
Autumn Yes - 2 Hour
###### Feedback Strategy/Strategies

• Group/class feedback, post-assessment

###### How will my Feedback be Delivered?

Not yet recorded.

Name Role
Julius Busse Tutor
Timetabling information is displayed only for guidance purposes, relates to the current Academic Year only and is subject to change.
Spring Lecture Offering 1 Week(s) - 20, 21, 22, 23, 24, 25, 26, 29, 30, 31, 32, 33 Thurs 16:00 - 16:50
Spring Lecture Offering 1 Week(s) - 20, 21, 22, 23, 24, 25, 26, 29, 30, 32, 33 Wed 10:00 - 11:50
Spring Lecture Offering 1 Week(s) - 31 Wed 10:00 - 11:50