Motion & Flow (U01631)

? Credit Points : 10 ? SCQF Level : 10 ? Acronym : MAT-3-MaF

Optional course for Honours Degrees involving Mathematics and/or Statistics. Syllabus summary: Vector and scalar fields. Conservation and balance laws in integral and point form. Heat flow; gravitational field and potential; electrostatics; fluid flow. Derivation of standard equations (heat, Laplace and wave). Important 1-, 2- and 3-dimensional solutions with symmetry. Dipole potentials. Waves in acoustics. Some simple flows of real fluids.

Entry Requirements

? Pre-requisites : Passes at C or better in MAT-2-FoC, MAT-2-SVC, MAT-2-LiA, MAT-2-MAM

? Prohibited combinations : MAT-3-MaFO

Variants

? This course has variants for part year visiting students, as follows

Motion & Flow (VS1) (Semester 1 (Blocks 1-2))

Subject Areas

Home subject area

Specialist Mathematics & Statistics (Honours), (School of Mathematics, Schedule P)

Delivery Information

? Normal year taken : 3rd year

? Delivery Period : Semester 1 (Blocks 1-2)

? Contact Teaching Time : 2 hour(s) per week for 11 weeks

All of the following classes

Type	Day	Start	End	Area
Lecture	Tuesday	11:10	12:00	KB
Lecture	Friday	11:10	12:00	KB

Summary of Intended Learning Outcomes

1. An understanding of the dynamical and kinematical concepts of flow modelling (flux, conservation, balance, thermal energy, gravitational field, electrostatic potential, velocity field, momentum density, etc.).
2. An ability to introduce and use potentials in appropriate vector field theories.
3. An understanding of the links between separated solutions and two-point eigenvalue problems; an ability to solve problems using separated solutions.
4. A familiarity with the use of dipole solutions.
5. Experience of some features of standing waves and of radiation.
6. An appreciation of fluid pressure in hydrostatics and in ideal flows. A familiarity with some basic viscous flows.