A generalization of the ∏-theorem and dimensional analysis

Proceedings of the National Academy of Sciences of the United States of America

Volumn 101, Issue 23, 2004, Pages 8525-8526

  Sonin, Ain A ^a  

^a Massachusetts Institute of Technology   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; MATHEMATICAL ANALYSIS; PREDICTION; PRIORITY JOURNAL; QUANTITATIVE ANALYSIS; THEORY;

EID: 2942537906     PISSN: 00278424     EISSN: None     Source Type: Journal    
DOI: 10.1073/pnas.0402931101     Document Type: Article

References (14)

1. Bridgman, P. W. (1931) Dimensional Analysis (Yale Univ. Press, New Haven, CT), 2nd Ed.
2. Sedov, L. I. (1959) Similarity and Dimensional Analysis in Mechanics (Academic, New York).
3. Taylor, E. S. (1974) Dimensional Analysis for Engineers (Clarendon, Oxford).
4. Barenblatt, G. I. (1996) Scaling, Self-Similarity, and Intermediate Asymptotics (Cambridge Univ. Press, Cambridge, U.K.).
5. Baker, W. E., Westine, P. S. & Dodge, F. T. (1973) Similarity Methods in Engineering Dynamics (Hayden, Rochelle Park, NJ).
6. Kurth, R. (1972) Dimensional Analysis and Group Theory in Astrophysics (Pergamon, Oxford).
7. Lokarnik, M. (1991) Dimensional Analysis and Scale-up in Chemical Engineering (Springer, Berlin).
8. Sonin, A. A. & Huber, P. W. (1978) J. Heat Transfer 100, 601-604.
9. Anderson, W. G., Huber, P. W. & Sonin, A. A. (1978) J. Heat Transfer 100, 605-612.
10. Chun, J.-H. & Sonin, A. A. (1985) Nucl. Eng. Des. 85, 353-362.
11. McMahon, T. A. & Bonner, J. T. (1983) On Size and Life (Scientific American Library, New York).
12. Tennekes, H. (1997) The Simple Science of Flight (MIT Press, Cambridge, MA).
13. de Jong, F. J. (1967) Dimensional Analysis for Economists (North Holland, Amsterdam).
14. Buckingham, E. (1914) Phys. Rev. 4, 345-376.