Lab Leader (Dimensional Analysis - Fluids)
Lab Leader (Dimensional Analsysis - Structures)
Timing and Structure
4 lectures: 1 lecture in weeks 1 and 3, 2 lectures/week in week 2, Michaelmas term
The aims of the course are to:
- Introduce and illustrate the use of Dimensional Analysis.
- Develop an understanding of dimensional consistency and how it can be applied: to convert from one system of units to another; to check the units of an equation; to check algebra; and to aid memory.
- Develop the techniques required to form dimensionless groups and relationships.
- Explain how Dimensional Analysis can be used: to simplify problems by reducing the number of parameters; to correlate experimental data; to assist in the design and use of scale models for testing.
As specific objectives, by the end of the course students should be able to:
- Convert between different measuring systems.
- Produce dimensionless groups from a given set of physical quantities.
- Understand the importance of dimensionless presentation of physical relationships.
- Use dimensional analysis to simplify problems and to aid in planning experiments.
- Basic and derived units of measurement
- Scales of units and conversion between different systems of units
- Dimensions and dimensional consistency of equations
- Dimensionless quantities, equations and relationships
- Buckingham's Pi Theorem
- Forming dimensionless relationships
- Writing governing equations in terms of dimensionless variables
- Forms of dimensionless relationships
- Similarity and model testing
- Use of Dimensional Analysis to design experiments and present experimental data.
Use of Dimensional Analysis in model testing to obtain general expressions for a number of problems.
- Dimensional Analysis 1: The deflection of an elastic beam under load.
- Dimensional Analysis 2: (a) Temperature variation in two blocks initially at different temperatures; (b) The flow over a "V" notch weir.
Please refer to the Booklist for Part IA Courses for references to this module, this can be found on the associated Moodle course.
Please refer to Form & conduct of the examinations.
Last modified: 26/08/2020 09:19