A centrifugal pump and a gear pump are operating in series in a closed loop to deliver a 20%…

A centrifugal pump and a
gear pump are operating in series in a closed loop to deliver a 20% ethylene
glycol solution at an average temperature of 10°C through a long pipe system.
In the capacity range up to 2 m3/s, the pump performance equations expressed in terms
of pressure increase as a function of capacity are given by

In the equations above, the pressure changes are in kPa
and the capacity is in m3/s.

a. On the same plot, show the system curve, the
performance curves for each pump, and the performance curve of the combined
series pumps in terms of head (m) as a function of capacity

A centrifugal pump and a
gear pump are operating in series in a closed loop to deliver a 20% ethylene
glycol solution at an average temperature of 10°C through a long pipe system.
In the capacity range up to 2 m3/s, the pump performance equations expressed in terms
of pressure increase as a function of capacity are given by

In the equations above, the pressure changes are in kPa
and the capacity is in m3/s.

a. On the same plot, show the system curve, the
performance curves for each pump, and the performance curve of the combined
series pumps in terms of head (m) as a function of capacity (m3/s). Draw the curves from 0 to 2 m3/s.

b. Write a simulation of the system and determine its
operating point.

c. If the economic velocity of the ethylene glycol
solution for this system is 2.9 m/s, specify the standard schedule steel pipe
required for this application.