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HW11 - the point j j y x is not on the head of the...

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AAE 334, Fall 2011, Homework 11 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
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Unformatted text preview: the point j j y x , is not on the head of the horseshoe vortex. 2. If you were given a number of such horseshoe vortices, say N, of differing spans i b centered on the origin of the coordinate system, , , y x , with strength i , what would the total induced velocity be at a point j j y x y x , , , in the z=0 plane? Again, it may be handy to write the answer in terms of i A sin , i B sin , i A cos , and i B cos . x y A i y=b i /2 y=-b i /2 B i x y...
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