3241 Exam 2 2010

3241 Exam 2 2010 - MAE 3241: Aerodynamics and Flight...

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Name: _________________ April 9, 2010 Exam #2 Short problems 1-3 are worth 5 points each. Question 1 (5 points): Anderson clearly articulates that without friction there could be no lift on airfoils and wings in real life , and he goes on to say that, ‘ Nature enforces the Kutta condition by means of friction ’. In our development of thin airfoil theory we mathematically enforced a Kutta condition at the trailing edge of the airfoil, γ (TE)=0. Was a Kutta condition also enforced for the potential flow model of a rotating cylinder generating lift (why or why not)? Question 2 (5 points): Show below is a picture of a thick airfoil being modeled by a suitable distribution of vorticies located along the top and bottom surfaces. In Chapter 3 the Kutta-Joukowski Lift Theorem (KJLT) was derived exactly for the case of the lifting cylinder. We also stated (without much proof) that the KJLT also applies in general to a two-dimensional body of arbitrary shape. Although this result can be proven mathematically, how would you argue that the KJLT is completely true for the airfoil model shown above? 1
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3241 Exam 2 2010 - MAE 3241: Aerodynamics and Flight...

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