Hydrodynamics I

Cod y Modiwl
MA25820
Teitl y Modiwl
Hydrodynamics I
Blwyddyn Academaidd
2026/2027
Semester
Semester 2 Dysgwyd dros 2 semester
Cyd-gysylltydd y Modiwl
Professor Simon Cox
Rhestr Ddarllen
Gweld ar Aspire
Rhagofynion
MA11210 neu MT11210
Staff Eraill sy'n Cyfrannu
Professor Simon Cox

Dulliau Asesu

Math o Asesiad

Manylion Asesiad

Cyfran
Asesiad Semester Coursework: 40 Awr Solutions to eight fortnightly problem sheets. 40%
Arholiad Semester Exam: 2 Awr 60%
Asesiad Ailsefyll Coursework: Solutions to a supplementary problem sheet. 40%
Arholiad Ailsefyll Exam: 2 Awr Written Examination 60%

Canlyniadau Dysgu

Wedi cwblhau'r modiwl dylai'r myfyrwyr fedru:

  1. Use vectors, vector fields, vector calculus and different co-ordinate systems to analyse physical problems in 3-dimensional space.
  2. Evaluate line, surface and volume integrals. Recall and apply the Stokes', Green's and divergence theorems.
  3. Explain and calculate convected rates of change.
  4. Calculate the vorticity of an ideal fluid flow.
  5. Determine whether a flow is suitable for an incompressible fluid.
  6. Apply and solve the equations governing the flow of an ideal fluid in specific situations.
  7. Determine the streamfunction and velocity potential describing a given velocity field.

Disgrifiad cryno

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.

Nod

To provide the basic framework for a modern appreciation of Fluid Dynamics.
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

Cynnwys

1. 2D and 3D scalar and vector fields in Cartesian and polar co-ordinates.
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.

Sgiliau Modiwl

Math o Sgiliau

Manylion Sgiliau
Cydlynu ag erail Students will be encouraged to work in groups to solve problems.
Cyfathrebu proffesiynol Students will be expected to submit clearly written solutions to set exercises.
Datrys Problemau Creadigol The assignments will give the students opportunities to show creativity in finding solutions and develop their problem solving skills.
Gallu digidol Use of the internet, Blackboard, and mathematical packages will be encouraged to enhance their understanding of the module content and examples of application
Myfyrdod Students are expected to develop their own approach to learning and to use the feedback from marked work to support their learning.
Sgiliau Pwnc-benodol Broadens exposure of students to topics in mathematics, and an area of application that they have not previously encountered.

Nodau

Mae'r modiwl hwn yn cydymffurfio a FfCChC Lefel 5