A viscosity motor/pump is shown in figure below. The rotor is concentric within a stationary housing. The clearance h between the housing and the rotor is small compared to the width w and radius R of the rotor. A seal divides the clearance space as shown. When the device is operated as a motor, the viscous liquid is introduced at the high-pressure side of the seal and leaves at the low-pressure side of the seal. This flow causes the rotor to turn and produce power. For R is 1.75 ft, h is 0.50 in., w is 1.9 ft, w is 18 rpm, and a flow rate of 1.5 ft³/min, find the power output of the rotor. The fluid is 60 °F, SAE 30 crankcase oil. The dynamic viscosity of the oil is 0.116 Ibm/(ft.s). Neglect gravity. Model the flow as the fully developed flow between the paralel plates. h Housing W = i .3 Rotor R Phigh Plow Seal (no drag on rotor) ft lb S

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A viscosity motor/pump is shown in figure below. The rotor is concentric within a stationary housing. The clearance h between the
housing and the rotor is small compared to the width w and radius R of the rotor. A seal divides the clearance space as shown. When
the device is operated as a motor, the viscous liquid is introduced at the high-pressure side of the seal and leaves at the low-pressure
side of the seal. This flow causes the rotor to turn and produce power. For R is 1.75 ft, h is 0.50 in., w is 1.9 ft, w is 18 rpm, and a flow
rate of 1.5 ft3/min, find the power output of the rotor. The fluid is 60 °F, SAE 30 crankcase oil. The dynamic viscosity of the oil is 0.116
Ibm/(ft.s). Neglect gravity. Model the flow as the fully developed flow between the paralel plates.
h
Housing
i
Rotor
R
Phigh
Plow
Seal (no drag on rotor)
ft. lb
S
Transcribed Image Text:A viscosity motor/pump is shown in figure below. The rotor is concentric within a stationary housing. The clearance h between the housing and the rotor is small compared to the width w and radius R of the rotor. A seal divides the clearance space as shown. When the device is operated as a motor, the viscous liquid is introduced at the high-pressure side of the seal and leaves at the low-pressure side of the seal. This flow causes the rotor to turn and produce power. For R is 1.75 ft, h is 0.50 in., w is 1.9 ft, w is 18 rpm, and a flow rate of 1.5 ft3/min, find the power output of the rotor. The fluid is 60 °F, SAE 30 crankcase oil. The dynamic viscosity of the oil is 0.116 Ibm/(ft.s). Neglect gravity. Model the flow as the fully developed flow between the paralel plates. h Housing i Rotor R Phigh Plow Seal (no drag on rotor) ft. lb S
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