Orifice flow energy relation

[razorw22]

I am developing a model of an orifice for liquid flow through a cylindar, which consists of transfer functions relating input to output conditions and having parameters (density, MW, Gamma, & composition) definable by the user. The liquid will either be some form of water or liquid fuel. I would like to find a derived equation or relation that would allow for the calculation of exit temperature (or energy).

Assume:
Incompressible fluid
Constant properties
Setup as flange tap orifice (Pin and Pout at 1 inch before and after orifice respectively)

Known:
Pin, Tin, Pout, density, viscosity, Din=Dout, Dorifice, Athrout, mdot, Q, Vin, Vout, Vthrout

Thanks in advance.

 

[balu1]

Not quite sure that I understand the problem but I would like to state a couple of notorious facts for any incompressible flow:

1) Power (which is energy "flow" i.e. energy supplied per unit of time) equals:
Q*p (volumetric flow multiplied by pressure)

2) Temperature change is negligable

3) Crucial is Monsignor Bernoulli who stated Law of conservation of energy for incompressible (and inviscid) flows:

flow kinetic energy + flow potencial energy = constant along a flow

Usually expressed in terms of pressure see:

http://www.grc.nasa.gov/

http://WWW/K-12/airplane/bern.html