Unformatted text preview: L + ( ) ⋅ + p atm = Upon simplification: x L + Δ p ρ oil g ⋅ = The gage pressure is defined as: Δ p ρ water g ⋅ Δ h ⋅ = where Δ h 25 mm ⋅ = Combining these two expressions: x L + ρ water g ⋅ h ⋅ ρ oil g ⋅ = Δ h SG oil = x and L are related through the manometer dimensions: π 4 D 2 ⋅ x ⋅ π 4 d 2 ⋅ L ⋅ = x d D ⎛ ⎝ ⎞ ⎠ 2 L = Therefore: L Δ h SG oil 1 d D ⎛ ⎝ ⎞ ⎠ 2 + ⎡ ⎢ ⎣ ⎤ ⎥ ⎦ ⋅ = Substituting values into the expression: L 25 mm ⋅ 0.827 1 6 mm ⋅ 18 mm ⋅ ⎛ ⎝ ⎞ ⎠ 2 + ⎡ ⎢ ⎣ ⎤ ⎥ ⎦ ⋅ = (Note: s L Δ h = which yields s 1.088 = for this manometer.) L 27.2 mm ⋅ =...
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 Fall '07
 Lear
 Fluid Mechanics

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