A viscosity motor/pump is shown in Fig. P6.84. 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 lowpressure side of the seal. This flow causes the rotor to turn and produce power. For \(R=1.0 \mathrm{ft}, h=0.50 \mathrm{in} ., w=1.0 \mathrm{ft}, \omega=10 \mathrm{rpm}\), and a flow rate of \(1.5 \mathrm{ft}^{3} / \mathrm{min}\), find the power output of the rotor. The fluid is \(60^{\circ} \mathrm{F}\), SAE 30 crankcase oil. Neglect gravity.

Figure P6.84

Transcribed Image Text:

R Rotor h Housing Plow Phigh Seal (no drag on rotor)