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Problem 4 (25 points) Engineers are testing a new pitching foil as a marine propeller by placing it in channel with a uniform flow

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Problem 4 (25 points) Engineers are testing a new pitching foil as a marine propeller by placing it in channel with a uniform flow of velocity v before the foil. It leaves a parabolic-shaped wake behind with a maximum velocity of 1.3v as shown in the Fig. P4. Assume pressure outside the streamline and inlet/outlet to be atmospheric because they are far enough from the propeller. a. Find L in terms of h [10 points]. b. If w is the width of the foil, express the total thrust force Tx generated by the foil in terms of Calculate the thrust coefficient, Cr, of the foil, given that CT-Tx/(pvLw) [15 points]. CV V streamline 2h 2 Parabolic 3=h L 1.3v L 3 V= ay+ b ML) = V = al ULL)=V = a - 0=262-

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