Pipe Flow

Start separately with the outlets and calculate the desired flow and system head required at x

That is working + static + losses etc

The highest pressure at X must be used for both outlets - surplus pressure on the low one must be destroyed.

You can then design the sources to deliver the total volume at the highest pressure at x.

For further assistance you would have to give more detail.

If by "analytic" you mean an equation that can be solved in one go, I suspect that may not be possible. More likely there will need to be iterations of something like the Colebrook formula, which itself is already iterative.

raj

As tornado has stated it can be done but to create a system for it takes time and patience.

If you care to visit the site specified in my profile you may download a demo that will solve your situation in seconds. (including suggesting boosters)

Your application may be better served by using a ring main. consider it.

That site was struck by some cable theft and are now available at http://home.global.co.za/~fluid/gwiscons.htm

thanks for your response.i'l go through the site and comeback to you.