A differential pressure is measured with a U-Tube monometer having water as the

Question

A differential pressure is measured with a U-Tube monometer having water as the manometer fluid. The results of the measurement indicate that increased sensitivity would reduce resolution uncertainty, which is too high. The approach taken is to switch from water (m = 9.81 kN/m3) to Ethyl Alcohol (m = 7.74 kN/m3) as the manometer fluid. Provide the initial sensitivity and the new sensitivity resulting from the change in manometer fluid. It turns out that this change isn’t quite enough, so an additional step is taken to incline one tube of the manometer, creating an Inclined-Tube manometer. If the angle of the inclined tube is 40 degrees from horizontal, what is the sensitivity of the Inclined-Tube manometer? Show all work. Assume that atmospheric conditions are the same for all measurements.

Explanation / Answer

given water (m = 9.81 kN/m3) to Ethyl Alcohol (m = 7.74 kN/m3).

For a particular pressure difference,let water height difference be h1 and of thyl alchol be h2.

m(water) * g *h1 = m(ethyl) * g *h2

h2/h1 = 7.74/9.81 = 0.788

by inclined tube manometer let the reading difference be h3,but the considered height is the vertical distance between the columns

the considered height is = h2sin = 0.788sin40 = 0.507

increase in snsitivity = 1/0.507 = 1.971

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