The diagram shown below represents a process for which a pump and associated pipework require to be correctly sized.

The liquid is to be pumped from the underground storage vessel which is vented to atmosphere $($assume $1$ bar pressure$)$ to a pressurized container supported some distance above ground level. The pump is sited at ground level and must be capable of delivering $0\mathrm{.}01m^3{s}^{-1}$ with a maximum velocity of $1\mathrm{.}8m{s}^{-1}.$

Data:

Liquid density, $=960kg{m}^{-3}$

Liquid viscosity, $=0\mathrm{.}081$ Pas

$\backslash$table$[[$Fitting$,\backslash$table$[[$Equivalent length as number$],[$of pipe diameters$]],\backslash$table$[[$Number of velocity$],[$heads lost$]]],[$Standard $90$ bend,$37,0\mathrm{.}75],[$Entry to pipe,$15,0\mathrm{.}3],[$Exit from pipe,$50,1]]$

Calculate the head required for the pump and its power requirement assuming a $70\%$ efficiency.

If the same pump was later used to pump water from the lower reservoir to the upper reservoir, what flow rate of liquid could be achieved? $($N$.$B$.$ This may require an iterative solution$).$

State any assumptions made.

Data:

Water density, $=1000kg{m}^{-3}$

Water viscosity, $=0\mathrm{.}001$ Pas