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homework5_solns

# homework5_solns - Homework 5 Fluid Mechanics CE 3502 Fall...

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Homework 5 Fluid Mechanics CE 3502 Fall, 2008 Due Date: EXTENDED to Tuesday, November 25 5:30pm in lab section drop box. FOR FULL CREDIT FOR EACH PROBLEM IN THIS ASSIGNMENT: SHOW ALL OF YOUR WORK; define all variables; justify all statements (1) A supertanker has length, breadth, and draught (fully loaded) dimensions of 3325 m, 48 m, and 19 m, respectively. Assume the tanker is operating at a speed of 15 kt (1 kt = 0.515 m/s). For these conditions and assuming that the boundary layer on the ship hull develops the same as on a flat plate, estimate the skin friction drag of such a ship steaming in 10° C water. a. What power is required to overcome the skin friction drag? b. What is the boundary layer thickness at 0.1 m from the bow, and what is it 1000 m from the bow? c. What is the shear stress at 0.1 m from the bow, and what is it 1000 m from the bow? (a) (I solved as I described in class – some of you chose a different geometry (like a box-like boat). If you did this, you were not penalized.) Power = force * velocity On one side of the hull, the force ( ) L F 2 O Re C * u BL 2 1 F ρ = ; ( ) s / m 725 . 7 s / m 515 . * 15 u O = = ; ( )( ) 9 2 6 O L 10 x 607 . 19 s / m 10 x 31 . 1 s / m 515 . * 15 m 3325 Lu Re = = ν = so ( ) ( ) 001199 . 0 10 x 7522 . 7 00119895 . 0

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