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Computer‐Oriented Procedures for Dimensional Analysis

 

作者: William W. Happ,  

 

期刊: Journal of Applied Physics  (AIP Available online 1967)
卷期: Volume 38, issue 10  

页码: 3918-3926

 

ISSN:0021-8979

 

年代: 1967

 

DOI:10.1063/1.1709041

 

出版商: AIP

 

数据来源: AIP

 

摘要:

A fortranprogram has been developed for the IBM 1620 computer in order to calculate Buckingham orB‐numbers, dimensionless products of variables, from the laws of physics. For a given set of physical quantities, the corresponding set ofB‐numbers is invariant under changes of the reference set of dimensions, such as length, mass, time, charge, and temperature. Complete and nonredundant sets ofB‐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 ofB‐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.

 

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