Dimensional analysis for geotechnical engineers


Butterfield, R. (1999) Dimensional analysis for geotechnical engineers. Geotechnique, 49, (3), 357-366. (doi:10.1680/geot.1999.49.3.357).

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Description/Abstract

Dimensional analysis is an important tool for engineers, aiding the design of experiments and concise expression of the results generated by them. The dimensionless groups, which are the output of a successful dimensional analysis, are usually developed via Buckingham's ‘Pi’ theorem. Because this alone is a necessary, but not sufficient, condition for a solution, difficulties are frequently encountered. This paper presents a general, dimensional analysis algorithm which imposes both necessary and sufficient conditions. Illustrative problems are included, together with a Mathematica program which generates all possible sets of admissible dimensionless groups for a specific problem.

Item Type: Article
ISSNs: 0016-8505 (print)
1751-7656
Subjects: Q Science > QE Geology
Q Science > QA Mathematics
T Technology > TA Engineering (General). Civil engineering (General)
Divisions: University Structure - Pre August 2011 > School of Civil Engineering and the Environment
Item ID: 74715
Date Deposited: 11 Mar 2010
Last Modified: 02 Mar 2012 11:42
Contributors: Butterfield, R. (Author)
Date: 1999
Status: Published
URI: http://eprints.soton.ac.uk/id/eprint/74715

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