Question

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, \(\omega\) 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 lbm/(ft\(\cdot\)s). Neglect gravity. Model the flow as the fully developed flow between the parallel plates.

          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, \(\omega\) 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 lbm/(ft\(\cdot\)s). Neglect gravity. Model the flow as the fully developed flow between the parallel plates.

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, ω 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 lbm/(ft·s). Neglect gravity. Model the flow as the fully developed flow between the parallel plates.

Added by Lawrence M.

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