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Aug 31, 2013 at 21:07 comment added Xurtio Pascal's law assumes the fluid is incompressible. It also requires the fluid be confined.
Aug 31, 2013 at 20:31 comment added babou I am trying to understand the relation between the spatial decay of compression and Pascal's law in steady state. Can you say a bit more on how this decay is evaluated ?
Jul 25, 2013 at 10:12 vote accept sabiland
Jul 21, 2013 at 22:42 comment added Xurtio I mentioned only spatial decay, not temporal decay.
Jul 21, 2013 at 20:51 comment added babou I see... I was wondering because you stated that you "assumed the question was about the steady state solution". But Navier-Stokes is about fluid dynamics. So I did not see how there could be a decaying compression.
Jul 21, 2013 at 18:39 comment added Xurtio A formal treatment would rely on Navier Stokes and volume viscocity, but just thinking of the bulk modulus for simplicity as you draw large concentric rings around the point where you put your finger in. The expression (dV/V) dV is change in volume, V is total volume. As you consider larger and larger concentric circles, dV stays the same, but V is getting larger, so the ratio dV/V is getting smaller, thus dP (change in pressure) is getting smaller as you go further away from the perturbation point.
Jul 20, 2013 at 22:57 comment added babou Can you give some more details to explain how "the region of compression would decay as you moved further away ..." ? I am not sure I understand how this decay operates. Is that the compression created by the finger doing work against the water?
Jul 18, 2013 at 10:52 history answered Xurtio CC BY-SA 3.0