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Unformatted text preview: EGM 6812 Fluid Mechanics 1  Fall 2010 12/8/10, 10 th Homework 1 HW8 Problem 1 Given: Consider a uniform, ideal flow over an ellipse with major and minor axes of A and B , respectively. The freestream velocity is U and the angle of attack is . Find: The complex potential for this zplane flow field. The complex velocity for this zplane flow field. Determine the circulation when the velocity at the trailing edge is zero. What is the lift on the ellipse? x iy U A iB Assumptions: 1) Ideal flow 2) Steady Solution: We need to use a Joukowski transform to map the ellipse into a circle in the plane. The transform is 2 2 1, 0, z z a z x i y a a and the inverse transform is 1 1 , 2 z i a . We do not know the value of a and need to solve this as a function of what we are given, A and B We know that a circular cylinder of radius 1 is , i e and transforms into an ellipse in the zplane....
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 Fall '09
 RENWEIMEI
 Fluid Mechanics

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