test%204%20formula%20sheet

test%204%20formula%20sheet - 9-32, 9-34, 9-37, 9-93, 8-31,...

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Unformatted text preview: 9-32, 9-34, 9-37, 9-93, 8-31, 8-34, and 8-35 Cengel & Cimbala 8.63, 8.91, 8.92, and 8.100 from hw-handout7 10-58, 10-60 Cengel & Cimbala 9.1, 9.7, & 9.22(a&b) hw handout 8 11.34, 11.41, 11.93, 11.94 Cengel & Cimbala Incompressible Fluid Conservation of Mass ∂u ∂v + =0 ∂x ∂y Conservation of Momentum x-momentum ∂ 2u ∂ 2u ∂u ∂u ∂v 1 ∂P +u +v = − +ν 2 + 2 + Χ ∂t ∂x ∂y ρ ∂x ∂x ∂y y-momentum ∂ 2v ∂ 2v ∂v ∂v ∂v 1 ∂P +u +v = − +ν 2 + 2 + Y ∂t ∂x ∂y ρ ∂v ∂x ∂y Re = ux ν Modified Bernoulli Equation P P2 V12 V2 2 1 +α + z1 − +α + z2 = hloss ,total 2g 2g ρg ρg Laminar flow: ReD<2300 α=2 Pipe Flow: L f V2 hloss = D2 g 64 f lam = Re D f turb = 0.316 Re D 0.25 Minor losses Turbulent flow: ReD>2300 α=1 hloss = K V2 2g Stream Function ψ = ψ ( x, y ) ∂ψ ∂ψ u≡ and v ≡ − ∂y ∂x Potential Function φ = φ ( x, y ) ∂φ ∂φ u≡− and v ≡ − ∂x ∂y Potential Flow rr ∂v ∂u ∇ ×V = 0 − =0 ∂x ∂y Boundary Layer x-momentum ∂u ∂v du ∂ 2u u + v = u∞ ∞ + ν 2 ∂x ∂y dx ∂y Lift Coefficient FL CL = 1 ρV 2 A 2 Drag Coefficient FD CD = 1 ρV 2 A 2 ...
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This note was uploaded on 09/05/2011 for the course EGN 3353C taught by Professor Lear during the Fall '07 term at University of Florida.

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test%204%20formula%20sheet - 9-32, 9-34, 9-37, 9-93, 8-31,...

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