(See Fluids in the News article titled A Sailing Ship

Chapter 6, Problem 6.79

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(See Fluids in the News article titled “A Sailing Ship without Sails,” Section 6.6.3.) Determine the magnitude of the total force developed by the two rotating cylinders on the Flettner “rotorship” due to the Magnus effect. Assume a wind-speed relative to the ship of (a) 10 mph and (b) 30 mph. Each cylinder has a diameter of 9 ft, a length of 50 ft, and rotates at 750 rev/min. Use Eq. 6.124 and calculate the circulation by assuming the air sticks to the rotating cylinders. Note: This calculated force is at right angles to the direction of the wind and it is the component of this force in the direction of motion of the ship that gives the propulsive thrust. Also, due to viscous effects, the actual propulsive thrust will be smaller than that calculated from Eq. 6.124 which is based on inviscid flow theory.

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