I have done an optimization study to minimize the pressure drop in a piping system. Knowing now the pressure drop, I would like to compare some piping systems in term of corresponding cost.
I believe in order to figure this out you will need to know the flow rate with a given pressure. You can probably figure this out using the reynolds number equation in which if it is a straight pipe of a known diameter, and known viscosity of the fluid you can find the flow rate. Then just figure out how much is costs to run a pump when it is creating a given amount of pressure
in any system, the pressure drop depends on the flow rate in the pipe system. by knowing the pressure drop and flow rate, the power can be calculated. So you can compare the consumed power in two cases as power refers to the cost.