Do you have a specific physical problem in mind that we can focus on (involving actual equipment and hardware)?fog37 said:1) I see how a fluid at rest and a fluid in steady motion are different situations. I guess I am wondering if the isotropic pressure, at the same spatial point in the liquid, would be higher if the fluid was at rest (not a stagnation point). How different would the pressure experienced by the liquid parcels be?
That's not what you have in post #26. You have an h instead of a z. h is measured downwards and z is measured upwards. Do you not see the difference? If the datum for both elevation and depth is taken at the upper (free) surface of the fluid, then ##h=-z## and ##p=-\rho g z = \rho g h##2) Ok, but if you take the equation in your post #29 (where ##v=0##, which implies a fluid at reset) and move the term ##\rho g z## on the righthand side, we get the equation $$P=const. - \rho g z$$, which is what I have in my post #26 (different from the correct expression for hydrostatic pressure)...