HW11solution

# HW11solution - AAE 334 Fall 2011 Homework 11 SOLUTIONS Due...

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AAE 334, Fall 2011, Homework 11 SOLUTIONS Due Monday, September 26 at the beginning of class. 1. Consider a single horseshoe vortex of span i b centered on the origin of the coordinate system,     0 , 0 , y x , in the z=0 plane as shown below in a view from above the wing. The strength of the vortex is i . What is the induced velocity at a point     j j y x y x , , , in the z=0 plane? It may be handy to write the answer in terms of i A sin , i B sin , i A cos , and i B cos , and then list what these four trig functions are in terms of j j i i y x y x , , , . You can assume that the point   j j y x , is not on the head of the horseshoe vortex. The induced velocity at   j j y x , is the sum of induced velocities from the three parts of the horseshoe vortex:         j j tip j j tip j j Head j j i y x w y x w y x w y x w , , , , where the three parts are the head, the tip at positive b i /2 and the tip at negative

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HW11solution - AAE 334 Fall 2011 Homework 11 SOLUTIONS Due...

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