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Basics of the Dimensional Analysis

  • L. P. Yarin
Chapter
Part of the Experimental Fluid Mechanics book series (FLUID, volume 1)

Abstract

In this introductory chapter some basic ideas of the dimensional analysis are outlined using a number of the instructive examples. They illustrate the applications of the \( \rm Pi \)-theorem in the field of hydrodynamics and heat and mass transfer.

Keywords

Drag Force Drag Coefficient Dimensional Analysis Dimensionless Form Characteristic Scale 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

References

  1. Barenblatt GI (1987) Dimensional analysis. Gordon and Breach Science Publication, New YorkGoogle Scholar
  2. Barenblatt GI (1996) Similarity, self-similarity, and intermediate asymptotics. Cambridge University Press, CambridgeGoogle Scholar
  3. Blackman DR (1969) SI units in engineering. Macmillan, MelbourneGoogle Scholar
  4. Bridgman PW (1922) Dimension analysis. Yale University Press, New HavenGoogle Scholar
  5. Buckingham E (1914) On physically similar system: illustrations of the use of dimensional equations. Phys Rev 4:345–376CrossRefGoogle Scholar
  6. Chart of Dimensionless Numbers (1991) OMEGA Technology Company.Google Scholar
  7. Douglas JF (1969) An introduction to dimensional analysis for engineers. Isaac Pitman and Sons, LondonGoogle Scholar
  8. Hinze JO (1975) Turbulence, 2nd edn. McGraw-Hill, New YorkGoogle Scholar
  9. Huntley HE (1967) Dimensional analysis. Dover Publications, New YorkGoogle Scholar
  10. Ipsen DC (1960) Units, dimensions, and dimensionless numbers. McGraw-Hill, New YorkGoogle Scholar
  11. Jones JB, Hawkis GA (1986) Engineering thermodynamics. An introductory textbook. John Wiley & Sons, New YorkGoogle Scholar
  12. Kestin J (v.1, 1966; v.2, 1968) A course in thermodynamics. Blaisdell Publishing Company, New YorkGoogle Scholar
  13. Kutateladze SS (1986) Similarity analysis and physical models. Nauka, Novosibirsk (in Russian)zbMATHGoogle Scholar
  14. Landau LD, Lifshitz EM (1987) Fluid mechanics, 2nd edn. Pergamon, OxfordzbMATHGoogle Scholar
  15. Levich VG (1962) Physicochemical hydrodynamics. Prentice-Hill, Englewood CliffsGoogle Scholar
  16. Loitsyanskii LG (1966) Mechanics of liquid and gases. Pergamon, OxfordGoogle Scholar
  17. Lykov AM, Mikhailov Yu A (1963) Theory of heat and mass transfer. Gosenergoizdat Moscow-Leningrad (English translation 1965. Published by the Israel Program for Scientific Translation. Jerusalem)Google Scholar
  18. Madrid CN, Alhama F (2005) Discriminated dimensional analysis of the energy equation: application to laminar forced convection along a flat plate. Int J Thermal Sci 44:331–341CrossRefGoogle Scholar
  19. Ramaswamy GS, Rao VVL (1971) SI units. A source book. McGraw-Hill, BombayGoogle Scholar
  20. Reynolds O (1886) On the theory of lubrication. Philos Trans R Soc 177:157–233CrossRefGoogle Scholar
  21. Sedov LI (1993) Similarity and dimensional methods in mechanics, 10th edn. CRC Press, Boca RatonGoogle Scholar
  22. Spurk JH (1992) Dimensionsanalyse in der Stromungslehre. Springer-Verland in Berlin, New YorkGoogle Scholar
  23. Weast RC Handbook of chemistry and physics, 68th edition. 1987–1988. CRC, Boca Raton, FL.Google Scholar
  24. Williams W (1892) On the relation of the dimensions of physical quantities to directions in space. Philos Mag 34:234–271Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  • L. P. Yarin
    • 1
  1. 1.Dept. of Mechanical Engineering Technion CityTechnion-Israel Institute of TechnologyHaifaIsrael

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