What h stands in two equation for pressure

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m25

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I just want to make sure I am understanding these two equations correctly:

In Bernoulli 's equation
Bernoulli_eqn_s.GIF

the h is height measured from the BOTTOM to top, so higher it is, lower the pressure, correct?

And in the equation P=pgh, the h is actually depth that is measured from the TOP surface of the liquid, so also lowering the pressure at higher elevation, correct?

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Bernoulli's equation rho*gh term is the potential energy per unit volume of the fluid, so h is the height from Earth's surface.

If the fluid in the pipe moves closer to earth and the velocity of flow remains constant, then the pressure will increase via conservation of mechanical energy. So yes, if the pipe goes higher and the velocity is constant, then the pressure will decrease within the pipe.

Static fluid pressure (rho*gh) is a measurement of the pressure exerted by a fluid column. You phrase the question oddly though, as the formula assumes a fluid column with no space below it. If you mean that as you move up the fluid column, the pressure exerted is lower - then yes, the less fluid above a point, the lower the pressure exerted.

Edit: If you mean to compare two fluids, one at sea level and one on a mountain (both of the same fluid height) then they both exert the same pressure - assuming g is constant. We are looking at the height of the fluid.
 
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