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3241.CQ9 - 2 assuming that the freestream velocity V ∞...

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MAE 3241: Aerodynamics and Flight Mechanics Name: _________________ Concept Quiz #9 The Figure below (Figure 3.23 from Anderson) shows the superposition of a uniform flow and a source-sink pair, which describes the flow over the so-called Rankine oval. We have shown that the streamline pattern for the Rankine oval may be described by Equation 1: ( 29 const r V = - Λ + = 2 1 2 sin θ π ψ 1 As shown, Equation 1 has 4 variables: r, θ , θ 1 , θ
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Unformatted text preview: 2 , assuming that the freestream velocity, V ∞ , and the source strength, Λ , are set. However, θ 1 and θ 2 are related to r, θ , and some source/sink off-set distance b, which is fixed. Derive expressions for θ 1 and θ 2 that are functions of only r, θ , and b. Insert these expressions into Equation 1 such that ψ is a function of only r and θ , where V ∞ , Λ , and b are known....
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