Abstract
The basic equations of fluid dynamics are called Navier–Stokes equations. In the case of an isothermal flow, i.e., a flow at constant temperature, they represent two physical conservation laws: the conservation of mass and the conservation of linear momentum. There are various ways for deriving these equations. Here, the classical one of continuum mechanics will be outlined. This approach contains some heuristic steps.
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John, V. (2016). The Navier–Stokes Equations as Model for Incompressible Flows. In: Finite Element Methods for Incompressible Flow Problems. Springer Series in Computational Mathematics, vol 51. Springer, Cham. https://doi.org/10.1007/978-3-319-45750-5_2
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DOI: https://doi.org/10.1007/978-3-319-45750-5_2
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