Abstract
Experiments are usually necessary to solve scientific and technologic problems because they can provide theoretical basis and criterion. The theoretical fundamentals for experimental design and evaluation are similitude and dimensional analysis. This chapter includes similitude, dimensional analysis, and its application. The learning goals are as follows. First, we should understand the concepts of mechanics similitude and similarity criterion. Then we have to master the applications of approximate similitude, the π theorem and dimensional analysis. Finally, three important approximate models should be grasped including Froude model, Reynolds model, and Euler model.
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References
Howarth, L.: Modern Developments in Fluid Dynamics: high Speed Flow, vol. 1. Claredon Press, Oxford (1953)
Heller, V.: Scale effects in physical hydraulic engineering models. J. Hydraul. Res. 49(3), 293–306 (2011)
Song, H.: Engineering Fluid Mechanics and Environmental Application. Metallurgical Industry Press, Beijing (2016)
Fox, R.W., McDonald, A.T., Pritchard, P.J.: Introduction to fluid mechanics, vol. 5, 8th edn. Wiley, New York (2011)
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© 2018 Metallurgical Industry Press, Beijing and Springer Nature Singapore Pte Ltd.
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Song, H. (2018). Similitude and Dimensional Analysis. In: Engineering Fluid Mechanics. Springer, Singapore. https://doi.org/10.1007/978-981-13-0173-5_8
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DOI: https://doi.org/10.1007/978-981-13-0173-5_8
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