eq_sheet_exam_1

eq_sheet_exam_1 - Equation Sheet for Exam 1, ME 33,...

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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 r a d rotation π air 3 kg 1.204 m ρ = water 3 kg 998.0 m = 5 air kg 1.825 10 ms µ 3 water kg 1.002 10 ( ) () o K C 273.15 TT =+ Ideal gas : PR T = PV mRT = P v Rc c =− / P v kcc = air 1.40 k = 2 air 2 m 287.0 sK R = Simple shear flow and viscosity (see sketch) : ( ) / uy V yh = du V dy h τ µµ == Specific gravity : 2 HO / SG ρρ = Capillary tube : 2 cos s h gR σ φ = Surface tension: droplet inside outside 2 s PPP R ∆=− = bubble inside outside 4 s R Gage, vacuum, and vapor pressure : gage absolute atm PP P = vacuum atm absolute P = o v 2.339 kPa at 20 C for water PT Hydrostatics : Pg ∇= r r dP g dz below above PP g z = +∆ Forces on submerged, plane surfaces (see sketch) : 0a CC v g F h A P A P = = A , 0 /s i n xx C PC C I yy yP g A ρθ +
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eq_sheet_exam_1 - Equation Sheet for Exam 1, ME 33,...

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