On the axiomatic foundations of dimensional analysis

dc.contributor.authorGawain, Theodore Henry
dc.contributor.corporateOperations Research (OR)
dc.contributor.corporateGraduate School of Operational and Information Sciences (GSOIS)
dc.contributor.departmentAeronauticsen_US
dc.date1974-05
dc.date.accessioned2013-03-07T21:53:34Z
dc.date.available2013-03-07T21:53:34Z
dc.date.issued1974-05
dc.description.abstractThis paper reformulates the basic axioms of dimensional analysis so as to clear up some deeply entrenched misconceptions relating to the nature of physical dimensions and generalized units. Certain novel relations are thereby discovered which although unorthodox are nevertheless useful and correct. It is shown how various systems or natural units can be constructed so as to embody the same logical structure that characterizes some given system of fixed units. The important fact is brought out that every physical equation which is valid in some given system of units remains valid if all quantities be converted into any other system which embodies the same logical structure. The paper also show that the dimensionless pi's of Buckingham's Pi Theorem simply represent various physical parameters as expressed in some appropriate system of consistent natural units. The fundamental dimensional principles considered in this paper apply in some form to every quantitative analytical and experimental problem in the entire realm of physical science and engineering. (Author)en_US
dc.description.distributionstatementApproved for public release; distribution is unlimited.
dc.description.urihttp://archive.org/details/onaxiomaticfound00gawa
dc.identifier.npsreportNPS-57G1171+051
dc.identifier.urihttps://hdl.handle.net/10945/30042
dc.language.isoen_US
dc.publisherMonterey, California. Naval Postgraduate Schoolen_US
dc.subject.authorDimensional Analysis, Generalized Units, Pi Theorem, Mathematical Invariance of Physical Equations, Consistent Units, Natural Unitsen_US
dc.subject.lcshFINITE ELEMENT METHOD--COMPUTER PROGRAMS.en_US
dc.titleOn the axiomatic foundations of dimensional analysisen_US
dc.typeTechnical Reporten_US
dspace.entity.typePublication
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