Final Exam Fall 13

6 e 119 e 115 e 42 e 117 e 112 e dynamic viscosity m n

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Unformatted text preview: 4 3 3 3 2.869 E 1.889 E 2.077 E 4.124 E 5.183 E 2.968 E 2.598 E 2 2 3 3 2 2 2 Gas Constant,a R (J kg K) 1.716 E 1.130 E 1.242 E 2.466 E 3.099 E 1.775 E 1.554 E Gas Constant,a R (ft lb slug R) 1.40 1.30 1.66 1.41 1.31 1.40 1.40 Specific Heat Ratio,b k 1.40 1.30 1.66 1.41 1.31 1.40 1.40 Specific Heat Ratio,b k € € € € € € € € € € € € € € € Equation sheet p ρ= RT µ ν= € ρ I y R = xc + y c € yc A I x R = xyc + x c € yc A € du τ = µ dy € FB = γV ∂V as = V ∂s V2 € an = ℜ 1 € p + ρV 2 + γz = constant along a streamline 2 € 2 V p+ρ ∫ + γ z = constant across a streamline € ℜ dz ∂p ρV 2 −γ − = dn ∂n ℜ € ∂u ∂u ∂u ∂u ax = + u + v + w ∂t ∂x ∂y ∂z ∂v ∂v ∂v ∂v ay = + u + v + w ∂t ∂x ∂y ∂z € ∂w ∂w ∂w ∂w az = +u +v +w ∂t ∂x ∂y ∂z € DV ∂V a= = + V • ∇V Dt ∂t DBsys ∂ ˆ = ∫ ρbdV + ∫ ρbV • n dA Dt ∂t CV cs ˆ ∫ ρV • n dA € V=A ρA € € ∂ ˆ ∫ ρdV + ∫ ρW • n dA = 0 ∂t CV cs ∂ ˆ ∫ VρdV + ∫ VρV • n dA = ∑ FCV ∂t CV cs ∑ [(r × F )CV ]axial = Tshaft ˙ ˙ Tshaft = ( − min )( ± rinVθin ) + ( −mout )( ± routVθout ) ˙ ˙ ˙ W shaft = ( − min )( ±U inVθin ) + ( −mout )( ±U outVθout ) ∂ρ ∂ ( ρu) ∂ ( ρv ) ∂ ( ρw ) + + + =0 ∂t ∂x ∂y ∂z ∂ρ 1 ∂ ( rρVr ) 1 ∂ ( ρVθ ) ∂ ( ρVz ) + + + =0 ∂t r ∂ r r ∂θ ∂z ρg − ∇p = ρa V = ∇φ ∇ 2φ = 0 ∂ψ ∂φ u= = ∂y ∂...
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