The efficiency of the viscous-shear pump of Fig. P8.29 is given by

\[\eta=6 q \frac{(1-2 q)}{(4-6 q)}\]

where \(q=Q / a b R \omega\) is a dimensionless flow rate, \(Q\) is the flow rate at pressure differential \(\Delta p\), and \(b\) is the depth normal to the diagram. Plot the efficiency versus dimensionless flow rate, and find the flow rate for maximum efficiency. Explain why the efficiency peaks and why it is zero at certain values of \(q\).

Data From Fig. P8.29

Transcribed Image Text:

@ R a P8.28, P8.29