Piping Network: Determination of flow rates through pipes #1, #2, and #3 for the following piping network when pressure drop between segment AB is provided.

C Because ΔP in the pipe #1 is given, flow rate can be found by the techniques mentioned earlier.

C Total pressure drop in pipes #2 and #3 is the same as in pipe #1.

C However, as the pipe diameters are different, velocity through these pipes will be different.

C These velocity values are related through mass balance equation.

C As a first approximation, it may assumed that friction factors in pipes #2 and #3 are same and equal to f₂.

C Once this group is known, we can find f₂ and Re₂.

C Now we are in a position to calculate the velocity in the pipe #2.

C Once V₂ is known, V₃ could be found as none of the fluid is leaking between pipes #2 and #3. So the volumetric flow rate in pipes are same and

C We can find the Reynolds number Re₃ and friction factor f₃.

C Now we can use the corrected values of f₂ and f₃ to get a better estimate of V₂.

C These steps will be repeated till the values converge.