Question

Between two concentric cylinders A and B, there is a lubricating oil of constant and known properties.The outer cylinder B of radius r2 = 5 inches, is moving at 1200 rev/ min in a clockwise direction. CylinderB has a temperature of 1000°F. Inner cylinder A of radius r,= 4.25 inches is moving clockwise at 800 rpm.Cylinder A has a Temperature of 100 F. Lubricant properties: p = 4.5 Ibm /ft*h; 9 = 48.75 Ibm / ft3 K = 0.0852 BTU /h*ft*R; cp = 0.575 BTU /lbm*R For this fluid (lubricant) determine: a) at 1/8 "lubricant temperature measured from inner cylinder in °F; b) The value of the shear stress involved in the deformation of the fluid in Ibf / ft2; c) Determine if the fluid is potential; if not, explain why it is not. Support your answer quantitatively. d) Determine if the fluid has stress deformation. If so, show quantitatively whether and in which direction it compresses or expands under stress.

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