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Problem 3.37

# Problem 3.37 - Problem 3.37 Given[Difficulty 4 Sealed tank...

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Problem 3.37 [Difficulty: 4] Given: Sealed tank is partially filled with water. Water drains slowly from the tank until the system attains equilibrium. U-tube manometer is connected to the tank as shown. (Meriam blue in manometer) L 3 m = D 1 2.5 m = D 2 0.7 m = d 0.2 m = SG oil 1.75 = (From Table A.2, App. A) Find: The manometer deflection, l, under equilibrium conditions Solution: We will apply the hydrostatics equations to this system. Governing Equations: dp dh ρ g = (Hydrostatic Pressure - h is positive downwards) p V M R T = (Ideal gas equation of state) ρ SG ρ water = (Definition of Specific Gravity) L c D 1 H D 2 l d p atm p 0 d Assumptions: (1) Static liquid (2) Incompressible liquid (3) Air in tank behaves ideally Integrating the hydrostatic pressure equation we get: Δ p ρ g Δ h = To determine the surface pressure p o under equilibrium conditions we assume that the air expands at constant temperature: p a V a p o V o M R T a M R T o = Thus, p o V a V o p a = L D 1 ( ) A

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Problem 3.37 - Problem 3.37 Given[Difficulty 4 Sealed tank...

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