Arriving at a System characteristics curve of looped pipe network

mrajkumar

Hi,
Could you help me in arriving at a System characteristic curve of a looped network, which is approximately as in fig (attachment). i know all pipe geometry details of looped network. With Hardy cross method i can find for a assumed total flow rate, how much is getting divided into each outlet. But for a pump (known pump characteristics) driven system how i can find a total flow coming from a pump?

Attached Thumbnails