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Fluid statics in transport phenomena

A manometer containing an oil with a specific gravity (SG) of 0.92 is connected across an orifice plate in a horizontal pipeline carrying seawater (SG = 1.1). If the manometer reading is 16.8 cm, what is the pressure drop across the orifice?

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Solution :

Given :

1) S.G of Oil = 0.92

ρoil = 920 kg/m³

2) S.G of Seawater = 1.1

ρseawater = 1100 kg/m³

3) Difference in level (h) = 16.8 cm

&= 0.168 m

Required Concept

Below is the diagram to understand the concept required to to understand this problem

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Hence the difference in the pressure between inlet and outlet , when both are at same level is given by,

ΔP=g×h×(ρseawaterρoil)

Note that, we considered the inlet and outlet where the manometer is connected

ΔP=9.81×0.168×(1100920)

\Delta P =294.65 N/m²

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