The diagram sucks (or I suck), but doesn’t parallel flow want all branches to have equal head loss (not just pressure loss)?Its just evaluating knowledge of the behavior of piping in parallel. If two parallel branches (the one with the bypass valve and the one with AHU-3) have a common start and end point, then the pressure drop across each of the two branches is the same.
For the parallel pipe flow system, the friction head loss should be equal in each branch?When solving parallel pipe flow problems, the condition is that the pressure at the point where the branches split (say, point A) is the same for all the branches and the pressure at the point where the branches meet (say, point B) is also the same for all branches.
You then use Bernoulli across each of the branches knowing that the quantity (pA-pB) is the same for all branches. Each branch could have different friction head loss, different minor head loss, different flow rates, etc.
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