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# (See The Wide World of Fluids article titled A Sailing Shipwithout Sails, Section

ISBN: 9781119080701 456

## Solution for problem 6.64 Chapter 6.6

Fundamentals of Fluid Mechanics | 8th Edition

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Problem 6.64

(See The Wide World of Fluids article titled A Sailing Shipwithout Sails, Section 6.6.3.) Determine the magnitude of thetotal force developed by the two rotating cylinders on the Flettnerrotor-ship due to the Magnus effect. Assume a wind-speed relativeto the ship of (a) 10 mph and (b) 30 mph. Each cylinder has adiameter of 9 ft, a length of 50 ft, and rotates at 750 rev/min. UseEq. 6.124 and calculate the circulation by assuming the air sticksto the rotating cylinders. Note: This calculated force is at rightangles to the direction of the wind and it is the component of thisforce in the direction of motion of the ship that gives the propulsivethrust. Also, due to viscous effects, the actual propulsive thrust willbe smaller than that calculated from Eq. 6.124, which is based oninviscid flow theory.

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