Fluid Mechanics: pump configuration

1. Oct 23, 2012

2h2o

1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution

Top branch: $\Delta h=2(a-b(\frac{Q}{2})^2)$
Bot branch: $\Delta h=a-b(\frac{Q}{2})^2$

Combining them is where I'm having trouble; I don't understand what to do with the a term. Add? Multiply? Average? In a simpler parallel-pump configuration, with single pumps on each branch, the a term of the pump curve is unchanged; but in this configuration the a terms are different.

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