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Dimensional analysis for geotechnical engineers

Dimensional analysis for geotechnical engineers
Dimensional analysis for geotechnical engineers
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.

0016-8505
357-366
Butterfield, R.
630c6573-427b-41c3-9dc6-0b614a69db27
Butterfield, R.
630c6573-427b-41c3-9dc6-0b614a69db27

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

Record type: Article

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.

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More information

Published date: 1999
Organisations: Civil Engineering & the Environment

Identifiers

Local EPrints ID: 74715
URI: http://eprints.soton.ac.uk/id/eprint/74715
ISSN: 0016-8505
PURE UUID: e7f408f1-3e58-4a57-b922-89fcc1b13c48

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Date deposited: 11 Mar 2010
Last modified: 19 Jul 2019 23:39

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