Abstract
The partial differential equations set, governing the laminar motion of viscous incompressible fluid is known as nonlinear Navier-Stokes equation. They constitute the statement of the basic conservation ballance of mass, momentum, and energy, applied to a control volume, i.e. the Eulerian description. This equation system is generally considered to be the fundamental description for all laminar as well as for turbulent flows, although some statistical averaging procedure is needed (e.g. Reynolds equations for turbulence) to simulate numerically the flow at high Re number values due to the enormous computational effort required.
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Skerget, P., Alujevic, A., Brebbia, C.A., Kuhn, G. (1989). Natural and Forced Convection Simulation Using the Velocity-Vorticity Approach. In: Brebbia, C.A. (eds) Viscous Flow Applications. Topics in Boundary Element Research, vol 5. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-83683-1_4
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DOI: https://doi.org/10.1007/978-3-642-83683-1_4
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