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.

Derive the system head (required head) equation (i.e. the required head as a

function of the volumetric flow rate). Show all steps of your derivation. Explain the

physical meaning of the derived system equation.

Figure 2. Schematic diagram of the oil pumping system