The solutions to two processes are needed. The rate process, or the fluid flow part of the problem (mass balance), and the state process, or the thermodynamic part of the problem (energy balance), needs to be solved and in agreement for a correct answer. Most first year thermodynamic texts would call your application "Throttling". Throttling is assumed to be adiabatic, so [Δ]H = 0.
If the temperature and dynamic pressure of the water upstream and in the throat of the orifice results in the water being only 1 phase (i.e. liquid), then most first year fluid mechanics texts cover single phase flow through an orifice pretty well.
If the temperature and dynamic pressure of the water upstream and in the throat of the orifice results in the water going into two phases, then you need to consult more sophisticated references, but I won't get into this until we get some feedback from you.
Good luck,
Latexman