# Gwybodaeth Modiwlau

Module Identifier
MA25610
Module Title
Hydrodynamics 1
2023/2024
Co-ordinator
Semester
Semester 2
Pre-Requisite
Other Staff

#### Assessment

Assessment Type Assessment length / details Proportion
Semester Assessment Problem sheets  20%
Semester Exam 2 Hours   Written Examination  80%
Supplementary Exam 2 Hours   Written Examination  100%

### Learning Outcomes

On successful completion of this module students should be able to:

1. explain the notions of local and convected rates of change;
2. calculate the vorticity of an ideal fluid flow;
3. evaluate the incompressibility condition for a given velocity field;
4. apply and solve the equations governing the flow of an ideal fluid in specific situations;

### Brief description

This module introduces and develops the basic concepts of Classical Hydrodynamics and provides a framework for a modern appreciation of Fluid Mechanics.

### Aims

To provide the basic framework for a modern appreciation of Fluid Dynamics. To introduce the basic concepts of Classical Hydrodynamics. To explain how mathematical modelling of fluid motion can help in the understanding of certain real world phenomena in applications such as meteorology and aerodynamics.

### Content

1. Basic concepts: Velocity, acceleration, pressure, density.
2. Review of vector calculus and coordinate systems.
3. Eulerian and Lagrangian reference systems.
4. Kinematics of fluid motion: Pathlines, streamlines, vorticity.
5. Basic equations governing fluid motion.
6. Applications of Bernoulli's equation.
7. Irrotational flow.
8. Incompressibility, Potential flow.
9. Simple hydrodynamic structures: Sources, sinks, doublets.

### Module Skills

Skills Type Skills details
Adaptability and resilience Students are expected to develop their own approach to time-management and to use the feedback from marked work to support their learning.
Co-ordinating with others Students will be encouraged to work in groups to solve problems.
Creative Problem Solving The assignments will give the students opportunities to show creativity in finding solutions and develop their problem solving skills.
Digital capability Use of the internet, Blackboard, and mathematical packages will be encouraged to enhance their understanding of the module content and examples of application
Professional communication Students will be expected to submit clearly written solutions to set exercises.
Subject Specific Skills Broadens exposure of students to topics in mathematics, and an area of application that they have not previously encountered.

### Notes

This module is at CQFW Level 5