Abstract
In this chapter, we introduce, with particular reference to the incompressible case, the general system of Navier-Stokes equations. They are capable of describing most phenomena observed in fluid mechanics, including turbulence which is the major issue of this book. However, this system of equations is an approximation which is produced on the basis of more fundamental assumptions of continuum mechanics, namely that any material, fluid or solid, consists of continuous matter which has a definite density, velocity, and internal energy at every point. This matter cannot be destroyed nor created. It obeys Newton’s classical law of mechanics and also certain thermodynamical laws. Moreover, contiguous regions of the medium are assumed to exert forces on each other across their common boundary.
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Piquet, J. (1999). The Equations of Motion. In: Turbulent Flows. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-03559-7_1
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DOI: https://doi.org/10.1007/978-3-662-03559-7_1
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