Energy conservation(cont.)
If energy is added, removed or lost via pumps turbines, friction, etc.then we use
Extended Bernoulli’s Equation
Example: Determine the efficiency of the pump if the power input of the motor
is measured to be 1.5 hp.  It is known that the pump delivers 300 gal/min of water.
No turbine work and frictional losses, hence: hE=hL=0.  Also z1=z2
Given: Q=300 gal/min=0.667 ft3/s=AV
̃V1= Q/A1=3.33 ft/s V2=Q/A2=7.54 ft/s
4-in dia.pipe
6-in dia. pipe
2
1
pump
zo
Z=15 in
Looking at the pressure term:
Mercury (gm=844.9 lb/ft3)
water (gw=62.4 lb/ft3)
1 hp=550 lb-ft/s