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3241.CQ9 Solution

3241.CQ9 Solution - MAE 3241 Aerodynamics and Flight...

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Unformatted text preview: MAE 3241: Aerodynamics and Flight Mechanics Name: 3""433551fiM59/3/ February 14, 2004 Concept Quiz #9 The Figure below (Figure 3.2.3 from Anderson) shows the superposition of a uniform flow and a souroewsink 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: (/1 2 hr sin 6 ~é~ mg» (61 — 62 ) m cons! 27: As shown, Equation 1 has 4 variables: I, B, 6;, 62, assuming that the freestream velocity, V50, and the source strength, A, are set, However, 9; and 92 are related to r, 9, and some source/sink off—set distance i), which is fixed, Derive expressions for G; and 82 that are functions of only I, 8, and b. p ”‘3 (,2 (H I? )- ‘_ . a 4% f ‘ I 9.4.: a” . ,— 4“ . / , I! 51:; s (I , I A» ' I“ . 'I E «if , Mum” 'I i. (I , , tttttt ‘ s 5 or , .- _ " f' ‘ i” n “““ r’v‘ ..,‘ ' I / (z I; 5, "H I} g r"! x f“- ‘ Inserfiheseexpressr us into Equation 1 such that \p is e'function of only 1" and 6, where Vw, A, and b are known. ...
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