Oil is required to be transferred from tank 1 to tank 2 through a centrifugal pump as

shown in Fig. 2. The total length of the pipe (i.e. from pipe inlet to exit) is 15m. The diameter

of this pipe is 10 cm. The height between the free surfaces is z (where, z = z2 z1).

z=1m.

Assumptions:

Steady and incompressible flow.

Both tanks are large and open to the atmosphere.

Oil density: 913 kg/m3

.

Oil dynamic viscosity: 5103 ..

Vapour pressure: 0.789

The friction factor in the pipe is 0.0132

The length of the pipe (inlet to exit) is 15m

1=1.2, 2=0.5, and 3=0.8

The pump performance curve (i.e. the available pump head hpump), and the

efficiency () are given by the following equations:

= 3549 3 + 88.754 2 47.894 + 26.827 ( in meter)

= 404991 4 + 85988 3 10094 2 + 1397.4 + 0.4254 ( in %)

Where,

is the volumetric flow rate of the oil (in 3/)

-Provide a plot(s) to show the pump performance and find the optimum

operating flow rate

Hint: use the range of between 0 m3/s

and 0.16 m3/s.

-If the required Net Positive Suction Head (NPSHreq) supplied by the manufacturer

of the centrifugal pump is 3.9 m, what would be the maximum height between the

pump and the liquid surface of tank 1 without cavitation, at the operating point of

the pump (obtained from the plot)? [Assume that the major head loss in the tube

between tank 1 and the pump is negligible ( = 0), and only the minor head loss

must be considered