Issues with the installation location of pressure gauges on industrial level transfer pipelines?
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As shown in the figure, it is a problem related to solving Bernoulli’s equation in fluid mechanics. A vacuum gauge is installed at point A, and the pressure value read by it is 0.2 Mpa. If I understand correctly, the pressure indicated by the gauge at A should be the pressure at the top of the circular pipe. When using Bernoulli’s equation to determine the flow velocity at A, the distance between the center of the pipe and section 2-2 is used; doesn’t this introduce an error? (After all, at the vertical cross-section at A, the pressure varies with height, yet Bernoulli’s equation uses the value from the center of the pipe while taking the pressure at the top into account.) Wouldn’t installing the gauge horizontally resolve such an error? How are pressure gauges installed in industry?
I really don’t understand what’s being said; I only know that pressure refers to the pressure in this area.