MAE 3241: Aerodynamics and Flight Mechanics Assigned: February 11, 2011 Homework #3 Due: February 28, 2011 Complete the following problems from the Fundamentals of Aerodynamics : 3.11 3.12 3.15 Also complete the following questions: Question 1: Find the stream function and plot some streamlines for the combination of a line source, Λ , at (x,y)=(0,a) and an equal line source located at (0,-a) Question 2: Find the stream function and plot some streamlines for the combination of a counterclockwise line vortex with strength Γ at (x,y)=(a,0) and an equal line vortex placed at (-a,0). Question 3: A tornado is simulated by a line sink Λ =-1000 m 2 /s plus a line vortex Γ =1600 m 2 /s. Find the angle between any streamline and radial line, and show that it is independent of both r and θ . If this tornado forms in sea-level standard air, what is the local pressure and velocity 25 meters from the center of the tornado? Question 4:
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