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- Thread starter jostpuur
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- #1

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- #2

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Depends on the model: Newtonian fluid, ideal gas, certain types of fluids, incompressible flow, etc.

- #3

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The description of the millennium problem (http://www.claymath.org/millennium/Navier-Stokes_Equations/ [Broken]) says, that there we can restrict to incompressible fluids, so I'll stick with it. If have difficulty believing, that the PDEs given in the problem description are the whole truth about the problem, because the PDEs don't even contain the time derivative of the pressure anywhere. Would any pair (u,p) that satisfies the given Navier-Stokes equations really suffice? My instinct says that there must be more conditions to be satisfied for the pressure.

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- #4

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- #5

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In higher-speed flows, the compressibility effect of the fluid can affect the pressure gradient. In low-speed momentum-driven flows, the pressure gradient term often plays little role in in the dynamics.

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