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Characteristic quantities and dimensional analysis
KTH, School of Engineering Sciences (SCI), Theoretical Physics.
2009 (English)In: Scientific Modeling and Simulations, Springer Netherlands, 2009, 21-39 p.Chapter in book (Refereed)
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 Π 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
Springer Netherlands, 2009. 21-39 p.
Series
Lecture Notes in Computational Science and Engineering, ISSN 1439-7358 ; 68
Keyword [en]
Buckingham's theorem, Characteristic quantity, Dimensional analysis, Lennard-Jones interaction, Scaling, Elastic beam, Lennard-Jones potential, Lindemann melting, Liquid surface, Mathematical structure, Model parameters, Modeling and simulation, Numerical calculation, Numerical values, Physical science, Thermal conduction, Computer simulation, Mathematical techniques
National Category
Physical Sciences
Identifiers
URN: urn:nbn:se:kth:diva-152429DOI: 10.1007/978-1-4020-9741-6_4Scopus ID: 2-s2.0-78651549758ISBN: 978-140209740-9 OAI: oai:DiVA.org:kth-152429DiVA: diva2:755300
Note

QC 20141014

Available from: 2014-10-14 Created: 2014-09-26 Last updated: 2014-10-14Bibliographically approved

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CiteExportLink to record
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