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categoryهندسة ميكانيكية schoolبكالوريوس event_available2026-07-14

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A 25-mm-diameter cylindrical shaft is pulled through a cylindrical bearing as shown in the figure below. The lubricant oil that fills the 0.3-mm gap between the shaft and bearing is a Newtonian fluid having a kinematic viscosity of 8.0x104 m²/s and a specific gravity of 0.91. Determine the force P required to pull the shaft at a velocity of 3 m/s. Assume the velocity distribution in the gap is linear. (15 points) Bearing Lubricant 8.003 Shaft 0.5 m- Lz b) The no-slip condition means that a fluid "sticks" to a solid surface. This is true for both fixed and moving surfaces. If the velocity of the fluid in the gap region is a linear function of r as follows: u(r) =a+br determine the values of a and b in the above equation. (5 points)

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