6-70 A 4-cm-diameter shaft rotates at 5200 rpm in a 15-cm-long, 8-cm-outer-diameter cast iron bearing (k 70 W/m-K) with a uniform clearance of 0.6 mm filled with lubricating oil (u 0.03 N-s/m2 and k = 0.14 W/m K). The bearing is cooled externally by a liquid, and its outer surface is maintained at 40°C. Disregarding heat conduction through the shaft and assuming one-dimensional heat transfer, determine (a) the rate of heat transfer to the coolant, (b) the surface temperature of the shaft, and (c) the mechanical power wasted by the viscous dissipation in oil. Treat this problem as parallel flow between two large plates with one plate moving at constant velocity and the other stationary. FIGURE P6-70 5200 rpm 4 cm 8 cm 15 cm
6-70 A 4-cm-diameter shaft rotates at 5200 rpm in a 15-cm-long, 8-cm-outer-diameter cast iron bearing (k 70 W/m-K) with a uniform clearance of 0.6 mm filled with lubricating oil (u 0.03 N-s/m2 and k = 0.14 W/m K). The bearing is cooled externally by a liquid, and its outer surface is maintained at 40°C. Disregarding heat conduction through the shaft and assuming one-dimensional heat transfer, determine (a) the rate of heat transfer to the coolant, (b) the surface temperature of the shaft, and (c) the mechanical power wasted by the viscous dissipation in oil. Treat this problem as parallel flow between two large plates with one plate moving at constant velocity and the other stationary. FIGURE P6-70 5200 rpm 4 cm 8 cm 15 cm
Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)
8th Edition
ISBN:9781305387102
Author:Kreith, Frank; Manglik, Raj M.
Publisher:Kreith, Frank; Manglik, Raj M.
Chapter7: Forced Convection Inside Tubes And Ducts
Section: Chapter Questions
Problem 7.31P
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