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Fluid Mechanics: Determine volumetric flowrate 
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#1
Jan2312, 02:54 PM

P: 3

1. The problem statement, all variables and given/known data
*See attachment for diagram* With steadystate operation, an energy balance between point 1 and point 2 along the A side dictates: *See attachment for equation 1* And an energy balance between points 1 and 2 along the B side dictates: *see attachment for equation 2* Comparing the two balances, the following can be determined: *See attachment for equation 3* Which states that frictional losses over parallel segments are equal. With this in mind, develop a model for the system and fill in the missing entries in the table below. Qtot LA DA LB DB QA QB gpm ft in ft in gpm gpm 150 85 4 100 4 ? ? 80 100 4 400 3 ? ? 300 120 2 120 3 ? ? 300 120 6 50 4 ? ? 180 80 ? 80 4 60 ? 300 ? 3 70 3 140 ? ? 300 6 100 4 100 ? 2. Relevant equations Use chen equation for friction factor: 1/(f)^1/2 = 2.0log((e/D)/3.7065 – 5.0452A/Re) A = log((e/D)^1.1098/2.8257 + (5.8506/Re^0.8981)) 3. The attempt at a solution We are allowed to use Excel goal seek (I think we HAVE to). However, i cannot seem to get a system of equations that will solve for Va and Vb. I believe that if I had those terms, I could easily calculate Qa and Qb. If that's not the direction I need to be going, then I am completely lost. For the first row, we were given the answers so that we could check our model. Qa=83.1 gpm and Qb=66.9 gpm. Thanks for any help! 


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