Friction Loss thru an Orifice

[Greenlight]

I'm trying to find the overall friction loss (f) in a complex circuit. I have the pressure losses at each junction and can find "f" in the parallel and series portions of the circuit.

There are two orifices in the circuit.

I know the mass flow rate through the entire circuit, the mass flow rate through each orifice, the pressure drop through the orifice(s), pipe diameter, and orifice diameter.

I don't need head loss, I need friction loss.

This is related to a heat transfer problem where I'm trying to find the overall thermal performance (relationship between Nusselt number and friction loss).

Any help, guidelines, sources for info., etc. will be appreciated.

 

[BigInch]

I didn't think there was a relationship between Nusselt number and friction. Nusselt is a relationship between the heat transferred by convection and the heat transferred by conduction in a given system. Heat transferred by friction is the thermal equivalent of inefficient mechanical work.

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[Greenlight]

In turbine blade internal cooling the overall thermal performance is:

(Nu/Nuo) / (f/fo)^1/3

where Nu is the Nusselt number for a passage with enhanced cooling. Nuo is a passage with no enhancements.

f is the friction factor with enhancements.
fo is the friction factor with no enhancements.

Again, any help will be appreciated.