# ps3 - 2.23 Hydrofoils Propellers Homework Assignment#3...

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2.23 Hydrofoils & Propellers Homework Assignment #3 Assigned: Friday March. 2, 2007 Due: Monday March 9, 2007 1) A system of straight line vortex segments is used to represent a swept wing as shown below. All vortices have the same strength Γ , with directions as shown. Γ θ Y= 0 S/2 Y= s/4 ss/4s/4 S/2 Y= -s/4 Using your vortex segment function written in the last homework write a matlab code to find the total induced velocity at the three points shown above as a function of wing angle θ . Set Γ = 1 and S=1 and vary θ from 10 degrees to 60 degrees. Plot the induced velocity at these three points as a function of θ for these three points.

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2) A planar foil is to be designed with spanwise circulation distribution as follows: Γ ( ˜ y ) = 2 Us ( a 1 sin( ˜ y ) + a 3 sin(3˜ y ) with a1 = 0.05 and a3 varies from 0.02 to -0.02 The span of the foil is 1 meter , the freestream speed U= 8m/s and the density of the water is 998 kg/m3. The aspect ratio is 3:1. a)
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ps3 - 2.23 Hydrofoils Propellers Homework Assignment#3...

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