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Characteristic quantities and dimensional analysis
KTH, School of Engineering Sciences (SCI), Theoretical Physics, Theory of Materials.
2008 (English)In: SCIENTIFIC MODELING AND SIMULATIONS, ISSN 1874-8554, Vol. 15, no 1-3, 21-39 p.Article in journal (Refereed) Published
Abstract [en]

Phenomena in the physical sciences are described with quantities that have a numerical value and a dimension, i.e., a physical unit. Dimensional analysis is a powerful aspect of modeling and simulation. Characteristic quantities formed by a combination of model parameters can give new insights without detailed analytic or numerical calculations. Dimensional requirements lead to Buckingham's Pi theorem-a general mathematical structure of all models in physics. These aspects are illustrated with many examples of modeling, e. g., an elastic beam on supports, wave propagation on a liquid surface, the Lennard-Jones potential for the interaction between atoms, the Lindemann melting rule, and saturation phenomena in electrical and thermal conduction.

Place, publisher, year, edition, pages
2008. Vol. 15, no 1-3, 21-39 p.
Keyword [en]
Dimensional analysis, Characteristic quantity, Scaling, Buckingham's theorem, Lennard-Jones interaction
National Category
Physical Sciences
URN: urn:nbn:se:kth:diva-33365DOI: 10.1007/s10820-008-9102-4ISI: 000263201100004ScopusID: 2-s2.0-73449095257OAI: diva2:414897
QC 20110505Available from: 2011-05-05 Created: 2011-05-04 Last updated: 2011-05-05Bibliographically approved

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Grimvall, Göran
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