Problem No$.3|$ If a new pump has an $8$ in diameter impeller size and operates at $1100$ rpm $,$ is

geometrically similar to an already manufactured and tested pump $($see the given curves below$),$ which

has a $12$ in diameter and operates at $1000$ rpm ; and at the peak efficiency $($i$.$e$.,$ maximum $)$

Estimate the discharge rate of the new pump

Estimate the shaft power of the new pump

Estimate the ideal rise head of the new pump

Illustration: $(1)$ geometrically similar means the old and new pump have the same flow coefficient $($i$.$e$.,$

$C_Q$ or $),(2)($hint$),$ you should use the similar rules and definitions of the dimensionless coefficients

simultaneously, $(3)$ here, $C_Q$ is $,C_H$ is $,$ and is $,$ and $(4)$ carefully, read data from the curves from

the figure to the right.

and efficiency curves.