Naik, Sameer V. Fall 2009 1000 Solution for Special Problem 3Given:- A double U-tube connecting two horizontal pipelines - Density of sea water = 1035 kg/m3Find:- Pressure difference between the pipelines - Effect of air column - Effect of an oil column instead of the air column System:Assumptions:- Liquids are incompressible Basic Equation(s):atmPPgLρ=+Solution:(a) Let the pressure in the fresh water pipeline be P1and the pressure in the sea water pipeline be P5; the different points are as shown in the figure above. As we move along the manometer connecting the two pipelines, pressure increases when moving in the downward direction while pressure decreases when moving in the upward direction. We can write: 15freshwaterfreshwatermercurymercuryairairseawaterseawaterPghghghghPρρρρ+−−+=Using Table A-19, we have:3kg996mfreshwaterρ=; 3kg13,529mmercuryρ=For STP conditions:3kg1.2mairρ=Sea WaterMercuryAir60 cm10 cm70 cm40 cm12345Fresh Water
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