The lever in the image has a weight W at one end and is tied to a cylinder at the left end. The cylinder has negligible weight and buoyancy and slides upward through a film of heavy oil of viscosity u.

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)
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ISBN:9781305387102
Author:Kreith, Frank; Manglik, Raj M.
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Chapter5: Analysis Of Convection Heat Transfer
Section: Chapter Questions
Problem 5.5P: Evaluate the dimensionless groups hcD/k,UD/, and cp/k for water, n-butyl alcohol, mercury, hydrogen,...
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The lever in the image has a weight W at one end and is tied to a cylinder at the left end. The cylinder has negligible
weight and buoyancy and slides upward through a film of heavy oil of viscosity u.
L2
W
pivot
V2?
Cylinder, diameter D, length L,
in an oil film of thickness AR.
If there is no acceleration (uniform lever rotation), derive a formula for the rate of fall V2 of the weight. Neglect the lever weight.
Assume a linear velocity profile in the oil film. Estimate the fall velocity of the weight if W = 26 N, L1= 81 cm, L2 = 53 cm, D = 100 cm, L =
22 cm, AR = 1 mm, and the oil is glycerin at 20°C.
m/s
Transcribed Image Text:Required information The lever in the image has a weight W at one end and is tied to a cylinder at the left end. The cylinder has negligible weight and buoyancy and slides upward through a film of heavy oil of viscosity u. L2 W pivot V2? Cylinder, diameter D, length L, in an oil film of thickness AR. If there is no acceleration (uniform lever rotation), derive a formula for the rate of fall V2 of the weight. Neglect the lever weight. Assume a linear velocity profile in the oil film. Estimate the fall velocity of the weight if W = 26 N, L1= 81 cm, L2 = 53 cm, D = 100 cm, L = 22 cm, AR = 1 mm, and the oil is glycerin at 20°C. m/s
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