Computer-Oriented Procedures for Dimensional Analysis
- 1 September 1967
- journal article
- Published by AIP Publishing in Journal of Applied Physics
- Vol. 38 (10) , 3918-3926
- https://doi.org/10.1063/1.1709041
Abstract
A fortran program has been developed for the IBM 1620 computer in order to calculate Buckingham or B-numbers, dimensionless products of variables, from the laws of physics. For a given set of physical quantities, the corresponding set of B-numbers is invariant under changes of the reference set of dimensions, such as length, mass, time, charge, and temperature. Complete and nonredundant sets of B-numbers are obtained for 35 formulas from a representative branch of physics (solid-state). A systematic procedure is established for coding and cataloguing these formulas in terms of B-numbers. It is anticipated that decoding techniques can be applied to this catalogue to yield information on the interrelationships among and redundancy in the laws governing physical phenomena.This publication has 4 references indexed in Scilit:
- A modern approach to “dimensions”Journal of the Franklin Institute, 1949
- On Dimensional Analysis and the Presentation of Data in Fluid-Flow ProblemsJournal of Applied Mechanics, 1946
- The Principle of SimilitudeNature, 1915
- On Physically Similar Systems; Illustrations of the Use of Dimensional EquationsPhysical Review B, 1914