ENGINEERING TRIPOS PART IA - 2012/2013
LECTURE COURSES ASSOCIATED WITH COURSEWORK
Leader: Dr A. Boies
Timing:1 lecture in weeks 1 and 3, 2 lectures/week in week 2, Michaelmas term
Structure: 4 lectures
The aims of the lecture series 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
- 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
- Scales of units and
conversion between different systems of units
- Dimensions; Dimensional
consistency of equations
- Dimensionless quantities,
equations and relationships
- Buckingham's Pi Theorem
- Forming dimensionless
- Writing governing equations
in terms of dimensionless variables
- Forms of dimensionless relationships
- Similarity and model
- 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 see the Booklist for Part IA Courses for references for this module.
Last updated: September 2012