A New Conserved Energy for Incompressible Navier-Stokes Equations

Details A New Conserved Energy for Incompressible Navier-Stokes Equations A New Conserved Energy for Incompressible Navier-Stokes Equations

2010-12-10

arxiv.org/abs/1012.2259v2

Physics

Fluid Dynamics

This paper has been withdrawn by the author due to a crucial error

Scientific paper

Pressure conditions in incompressible Navier-Stokes equations give rise to conservation of total energy. The energy rate getting into a volume is the same energy rate that gets out from it. Suitable choice of pressure counteracts energy disipation of viscosity term in such a way that total energy is preserved. As consequence, this prevents kinetic energy blow-up in a given volume of the fluid.

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