Fluid Dynamics - Multiple Pipe System Need

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Fluid Dynamics - Multiple Pipe System Need Help Please!

There are 2 pumps at 2 locations with pipes (12") running from each of the pumps that are to both tied into 1 pipe (16"). In order to tie the 2 pipes into the one pipe there will be a 90 and a y fitting. The 16" pipe will then continue onto the dump point which is an open channel.

Using the Bernoulli Equation I can calculate what the volume and flow will be for both of the independent lines. What I can not figure out is will the 16" line accept the full flow quantity from both of these locations. So given that I have volumes, pressures and head losses for both of the lines. How do I figure out if the 16" line will be large enough and strong enough for the pressure and volume of water entering the line?
 
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Any help would be appreciated. The 16" pipe needs to be sized for the flow rate and pressure of both of the lines combined. You will need to use the Hazen-Williams equation to calculate the Head loss in the 16" pipe. Calculate the water velocity in the 16" pipe and compare it to the maximum velocity recommended for the pipe size. If the velocity is too high you will need to increase the size of the pipe or reduce the flow rate.