Dimensional analysis for geotechnical engineers
Butterfield, R. (1999) Dimensional analysis for geotechnical engineers. Geotechnique, 49, (3), 357-366. (doi:10.1680/geot.1922.214.171.1247).
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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.
|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
|Date Deposited:||11 Mar 2010|
|Last Modified:||02 Mar 2012 11:42|
|Contributors:||Butterfield, R. (Author)
|RDF:||RDF+N-Triples, RDF+N3, RDF+XML, Browse.|
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