In: Mechanical Engineering
A centrifugal pump is driven at 1300 rpm by a 10 hp motor and delivers 250 GPM at 85 Fahrenheit water against 75 ft water head, assuming that the initial pump efficiency is 65 % doesn’t vary appreciably the maximum flow the pump can deliver is most nearly
According to question
Temperature of water= 85F
on checking density of water at this temperature
now
=62.170x32.174x75
=223.252 KPa
now,
Power given by motor =10hp
but, we require to calculate pump pwer as the discharge is carrying out through pump power,
so,
Q=250GPM H=75ft so, WHP= 4.73 hp
We require Break Horse Power to calculate the max discharge
so
BHP= 7.284 hp
final formula becomes
Power drawn through pump (BHP) = [ Qmax * P ]
on putting above values we get
Q(max) = 326.2 GPM
(Here, Net torque given by the pump is not given, so we consider Net power produced by the motor to evaluate maximum flow through pump )