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Unformatted text preview: MAE 104, Fall 2009
Equation Sheet for Midterm 1 Use the following ﬂuid properties: air: ρ∞ = 1.2 kg/m3 ; Drag force per unit span, D , induced by a ﬂow around an object 1 D = ρ∞ V∞ 2 c cd 2 where c is the chord of the object, and cd is the drag coeﬃcient. Drag Coeﬃcient cd on a body with a vertical rear part cd = 1 c
c yu (x=c) cpu (x)
0 dyl 1 dyu − cpl (x) dx − dx dx c cpr (y )dy
yl (x=c) where cpu , cpl and cpr are respectively the pressure coeﬃcients on the upper, lower and rear surfaces of the body.
y Cpu(x) yu(x) yu(c) Cpr(y) yl(x) Cpl(x) c yl(c) x Drag force per unit span, D , induced by a ﬂow around an object with upstream (V∞ ) and downstream (V (y )) known velocities
+∞ 2 D = ρ∞ V∞ −∞ V (y ) V (y ) 1− dy V∞ V∞ 2D Inviscid Incompressible Potential Flow The velocity cartesian components of a 2D ﬂow (u,v) can be expressed as: u= ∂Φ ∂Ψ = , ∂x ∂y v= ∂Φ ∂Ψ =− ∂y ∂x where Ψ is the Stream Function, and Φ is the Velocity Potential of the potential ﬂow. ...
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This note was uploaded on 02/03/2010 for the course MAE mae104 taught by Professor Juancarlosdelálamo during the Fall '09 term at UCSD.
- Fall '09