Hi,
Your sketch is not clear to me. It seems the pump you have shown is centrifugal pump. You have to size the main line for maximum flow and recirculation line for pump's min flow. During normal operation, less flow will pass through recirculation line. If the normal flow is less than pump's minimum flow, recirculation line will see the pump's min flow.
Pressure at the other two point in T branch is nearly same. With this you can study the two different pieces of piping separately.
Following steps shall be followed for carrying our pressure drop calculation.
1. Find pressure drop upto T branch (Total flow = Flow in line A + Recirculation flow)
2. T Branch pressure (for same elevation) = Pump's discharge pressure - Drop upto T branch
3. Pressure at point A = pressure at T branch - pressure drop up to point A - (static head x rho x g)
4. Pressure drop in recirculation line = pressure at T branch - pressure drop in rec. line - (static head x rho x g) - receiver system pressure
Alternatively, you can find the pressure at point A in reverse. Pressure in point A = receiver pr + pressure drop from receiver to point A + (static head x rho x g)
Edited by samayaraj, 17 August 2016 - 12:26 AM.