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Introducing fluid dynamics using dimensional analysis
1. H. C. Ohanian and J. T. Markert, Physics for Engineers and Scientists, 3rd ed. (Norton, New York, 2007).
2. P. A. Tipler and G. Mosca, Physics for Scientists and Engineers, 6th ed. (Freeman, New York, 2008).
3. H. D. Young and R. A. Freedman, University Physics, 13th ed. (Pearson Addison-Wesley, New York, 2012).
4. R. D. Knight, Physics for Scientists and Engineers, 3rd ed. (Pearson, New York, 2013).
5. D. C. Giancoli, Physics for Scientists and Engineers, 4th ed. (Pearson, London, 2008).
6. J. Keller, W. E. Gettys and M. J. Skove, Physics: Classical and Modern, 2nd ed. (McGraw-Hill, 1993).
See, for example, the Wikipedia article “Turbulence,” <http://en.wikipedia.org/wiki/Turbulence
>, which (as of 14 June 2013) quotes Feynman, Heisenberg, and Lamb on the importance and difficulty of understanding turbulence.
8.Since is for air at room temperature, typical values such as r = 1.5 m and v = 36 km/h = 10 m/s give a Reynolds number of .
9.Searching in Google on “physics lab falling coffee filters” gives 130,000 results.
11.For a further introduction to dimensional analysis, see, for example, T. Misic, M. Najdanovic-Lukic, and L. Nesic, “ Dimensional analysis in physics and the Buckingham theorem,” Eur. J. Phys. 31, 893–906 (2010);
11.and the classic, P. W. Bridgman, Dimensional Analysis (Yale U.P., New Haven, 1922).
12.The velocity still has to be small compared to the velocity of sound in the fluid.
13. R. A. Granger, Fluid Mechanics (Dover, New York, 1995), p. 496.
15. H. Lamb, Hydrodynamics, 4th ed. (Cambridge U.P., Cambridge, 1916).
16. R. P. Feynman, R. B. Leighton, and M. Sands, The Feynman Lectures on Physics (Addison-Wesley, Reading, MA, 1964), Vol. II, Chaps. 40 and 41.
17. B. Lautrup, Physics of Continuous Matter, 2nd ed. (CRC Press, Taylor and Francis Group, London, 2011), p. 295.
18. L. Landau and E. M. Lifshitz, Fluid Mechanics, 2nd ed. (Elsevier, Oxford, 2009), p. 182.
19.An exception is the popular book A. H. Shapiro, Shape and Flow (Doubleday, Garden City, New York, 1961).
21.See, for example, J. H. Jensen, “ Five ways of deriving the equation of motion for rolling bodies,” Am. J. Phys. 80(12 ), 1073–1077 (2012).
22. J. de Boer, “ On the history of quantity calculus and the international system,” Metrologia 32, 405–429 (1995), is recommended for a brief presentation of the most important developments in the history of quantity calculus.
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