Change search
ReferencesLink to record
Permanent link

Direct link
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.
, 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
URN: urn:nbn:se:kth:diva-152429DOI: 10.1007/978-1-4020-9741-6_4ScopusID: 2-s2.0-78651549758ISBN: 978-140209740-9OAI: diva2:755300

QC 20141014

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

Open Access in DiVA

No full text

Other links

Publisher's full textScopus

Search in DiVA

By author/editor
Grimvall, Göran
By organisation
Theoretical Physics
Physical Sciences

Search outside of DiVA

GoogleGoogle Scholar
The number of downloads is the sum of all downloads of full texts. It may include eg previous versions that are now no longer available

Altmetric score

Total: 42 hits
ReferencesLink to record
Permanent link

Direct link