| A generalization of the Pi-theorem and dimensional analysis. | |
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MedLine Citation:
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PMID: 15173577 Owner: NLM Status: PubMed-not-MEDLINE |
Abstract/OtherAbstract:
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This article introduces a generalization of dimensional analysis and its corollary, the Pi-theorem, to the class of problems in which some of the quantities that define the problem have fixed values in all the cases that are of interest. The procedure can reduce the number of dimensionless similarity variables beyond the prediction of Buckingham's theorem. The generalized Pi-theorem tells when and how large a reduction is attainable. |
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Authors:
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Ain A Sonin |
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Publication Detail:
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Type: Journal Article Date: 2004-06-01 |
Journal Detail:
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Title: Proceedings of the National Academy of Sciences of the United States of America Volume: 101 ISSN: 0027-8424 ISO Abbreviation: Proc. Natl. Acad. Sci. U.S.A. Publication Date: 2004 Jun |
Date Detail:
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Created Date: 2004-06-09 Completed Date: 2004-08-17 Revised Date: 2008-11-20 |
Medline Journal Info:
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Nlm Unique ID: 7505876 Medline TA: Proc Natl Acad Sci U S A Country: United States |
Other Details:
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Languages: eng Pagination: 8525-6 Citation Subset: - |
Affiliation:
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Department of Mechanical Engineering, Massachusetts Institute of Technology, Cambridge, MA 02139, USA. sonin@mit.edu |
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From MEDLINE®/PubMed®, a database of the U.S. National Library of Medicine
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