Gwybodaeth am Fodiwlau
Course Delivery
Assessment
| Assessment Type | Assessment length / details | Proportion |
|---|---|---|
| Semester Assessment | 40 Hours Coursework Solutions to eight fortnightly problem sheets. | 40% |
| Semester Exam | 2 Hours Exam | 60% |
| Supplementary Exam | 1 Hours Exam Written examination, concurrent with supplementary exam. | 40% |
| Supplementary Exam | 2 Hours Exam Written Examination | 60% |
Learning Outcomes
On successful completion of this module students should be able to:
Use vectors, vector fields, vector calculus and different co-ordinate systems to analyse physical problems in 3-dimensional space.
Evaluate line, surface and volume integrals. Recall and apply the Stokes', Green's and divergence theorems.
Explain and calculate convected rates of change.
Calculate the vorticity of an ideal fluid flow.
Determine whether a flow is suitable for an incompressible fluid.
Apply and solve the equations governing the flow of an ideal fluid in specific situations.
Determine the streamfunction and velocity potential describing a given velocity field.
Brief description
This module introduces tools in vector calculus and applies them to develop the basic concepts of Classical Hydrodynamics, providing a framework for a modern appreciation of Fluid Mechanics.
Aims
To introduce tools in vector analysis and 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
2. Vector Calculus: gradient, divergence and curl of vector fields.
3. Line and surface integrals, the divergence theorem.
4. Velocity, pressure, viscosity, density and the Reynolds number.
5. Eulerian and Lagrangian reference systems; acceleration and the convective derivative.
6. Kinematics of fluid motion: Pathlines, streamlines, vorticity.
7. Basic equations governing fluid motion: Incompressibility and Euler's equations.
8. Bernoulli's equation and applications.
9. Simple hydrodynamic structures: Sources, sinks, doublets. Potential flow.
Module Skills
| Skills Type | Skills details |
|---|---|
| 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. |
| Reflection | Students are expected to develop their own approach to learning and to use the feedback from marked work to support their learning. |
| 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