After reading all above (''I am still not chicken enough '') to let go of the original question, and ask for more information on the actual problem.
Why are you trying to obtain a figure for the maximum flow? In real life you will have some force (pump or elevation or pressure in a tank) to give the starting pressure.
After this you have your 1" pipe and tanks, all of undetermined length, layout and size, all giving an unknown contribution to an internal pressure loss, and you end up with 3 bars (measured or back pressure?)at the other end.
Three ways out:
a. Calculate with known layout the loss for the components step by step.
b. Measure the flow at the end.
c. Limit the flow to a sensible flow for the liquid and type of tanks and pipelines by regulating valves, or boost by pumping to a sensible flow value.
For c: The sensible limit for pipelines, tanks and valves an other pipeline components could perhaps be normally conservatively used 2-4 m/s for watery fluids( about 7 to 14 ft/s), or up to perhaps the double (8m/s - 30 ft/s).
Above this you would start to loose control if you do not know exactly what you are doing.