A reservoir manometer has vertical tubes of diameter D518 mm and d56 mm. The manometer liquid is Meriam red oil. Develop an algebraic expression for liquid deflection L in the small tube when gage pressure Δp is applied to the reservoir. Evaluate the liquid deflection when the applied pressure is equivalent to 25 mm of water (gage).

Explanation:

Given that :

the diameter of the reservoir D = 18 mm

the diameter of the manometer d = 6 mm

For an equilibrium condition ; the pressure on both sides are said to be equal

∴

According to conservation of volume:

Replacing x into (1) ; we have;

Thus; the liquid deflection is :

when the applied pressure is equivalent to 25 mm of water (gage); the liquid deflection is:

L = 27.21  mm

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