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eq_sheet_exam_1

# eq_sheet_exam_1 - Equation Sheet for Exam 1 ME 33 prepared...

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Equation Sheet for Exam 1, ME 33, prepared by Professor J. M. Cimbala Notation for this equation sheet : V = volume, V = velocity, v = y -component of velocity, ν = kinematic viscosity Constants and conversions : 2 m 9.807 s g = atm 101.3 kPa P 2 N s kg m kW s 1000 N m 3 m 1000 L 2 rad rotation π air 3 kg 1.204 m ρ = water 3 kg 998.0 m ρ = 5 air kg 1.825 10 m s µ = × 3 water kg 1.002 10 m s µ = × ( ) ( ) o K C 273.15 T T = + Ideal gas : P RT ρ = PV mRT = P v R c c = / P v k c c = air 1.40 k = 2 air 2 m 287.0 s K R = Simple shear flow and viscosity (see sketch) : ( ) / u y Vy h = du V dy h τ µ µ = = Specific gravity : 2 H O / SG ρ ρ = Capillary tube : 2 cos s h gR σ φ ρ = Surface tension: droplet inside outside 2 s P P P R σ = = bubble inside outside 4 s P P P R σ = = Gage, vacuum, and vapor pressure : gage absolute atm P P P = vacuum atm absolute P P P = o v 2.339 kPa at 20 C for water P T = = Hydrostatics : P g ρ = r r dP g dz ρ = − below above P P g ρ z = +

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