A closed cylindrical drum of diameter 500 mm has its axis vertical and is completely full of water. In the drum and concentric with it is a set of paddles 200 mm diameter that are rotated at a steady speed of 15 revolutions per second. Assuming that all the water within the central 200 mm diameter rotates as a forced vortex and that the remainder moves as a free vortex, determine the difference in piezometric pressure between the two radii where the linear velocity is 6 m s.
A closed cylindrical drum of diameter 500 mm has its axis vertical and is completely full of water. In the drum and concentric with it is a set of paddles 200 mm diameter that are rotated at a steady speed of 15 revolutions per second. Assuming that all the water within the central 200 mm diameter rotates as a forced vortex and that the remainder moves as a free vortex, determine the difference in piezometric pressure between the two radii where the linear velocity is 6 m s.
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Transcribed Image Text:A closed cylindrical drum of diameter 500 mm has its axis vertical and is completely full of water. In the
drum and concentric with it is a set of paddles 200 mm diameter that are rotated at a steady speed of 15
revolutions per second. Assuming that all the water within the central 200 mm diameter rotates as a forced
vortex and that the remainder moves as a free vortex, determine the difference in piezometric pressure
between the two radii where the linear velocity is 6 m: s1.
Expert Solution
Step 1
In the cylinder, a pressure will be developed between two surfaces having different diameters. Let r1 and r2 be the two different radii. It possess an angular speed of 15 revolutions per second. Here density of liquid in the cylinder have to be considered in order to calculate the pressure.
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