Consider two long concentric rotating cylinders of radii R and R and length L, where L...

 

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Consider two long concentric rotating cylinders of radii R and R and length L, where L >> R and R (see figure below). The inner cylinder of radius R is rotating at , and the outer cylinder of radius R is rotating at 2. For this problem, the fluid between the two cylinders is water. Since L >> R and R2, end effects can be neglected (i.e., you can neglect variations in the axial directions). (a) If R = 1 m, R = 1.5 m, = 1000 rpm, and 2 = 3000 rpm, plot the velocity and pressure variation between the rotating cylinders? (b) If R = 1 m, R = 1.5 m, 1 = 3000 rpm, and variation between the rotating cylinders? (c) If 00 = 0 and (R - R)/R < < 1, what is the torque exerted on the inner cylinder W2 R R 2 2 = 1000 rpm, plot the velocity and pressure Consider two long concentric rotating cylinders of radii R and R and length L, where L >> R and R (see figure below). The inner cylinder of radius R is rotating at , and the outer cylinder of radius R is rotating at 2. For this problem, the fluid between the two cylinders is water. Since L >> R and R2, end effects can be neglected (i.e., you can neglect variations in the axial directions). (a) If R = 1 m, R = 1.5 m, = 1000 rpm, and 2 = 3000 rpm, plot the velocity and pressure variation between the rotating cylinders? (b) If R = 1 m, R = 1.5 m, 1 = 3000 rpm, and variation between the rotating cylinders? (c) If 00 = 0 and (R - R)/R < < 1, what is the torque exerted on the inner cylinder W2 R R 2 2 = 1000 rpm, plot the velocity and pressure