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There is a basic problem I am having with fluid dynamics that has been really confusing me.

I have been told that as a result of conservation of energy and Pascal's principle, for an incompressible fluid P

_{in}=P

_{out}, or pressure is constant.

However, pressure is not necessarily constant in Bernoulli's equation (as if it were, pressure wouldn't even be in the equation).

Is it that pressure is constant if the fluid is static and there is no height difference? If so, textbooks say that it applies in that weird U-shaped container where there is definitely a height difference. How does this work?

Thanks in advance!