pe1969:
Firstly, the term used for the application you're describing is "Thermal Expansion" relief valve. The difference in terminology is why I believe you may have read some literature that doesn't apply to this simple, and direct relief application.
As MortenA and CHD01 both point out, any thermal expansion relief application is going to involve a relief valve that is at the bottom of the capacity ratings and is, quite honestly, a very insignificant instrument. Don't read me wrong....what I'm trying to point out is that although it is an IMPORTANT instrument and one that should be evaluated in any potentially blocked liquid scenario, it is probably the smallest PRV you will ever install.
Inherently, all this type of PRV does is relieve the incremental liquid expansion volume created by a thermal increase in the parent liquid - a quantity that, if you take the time to calculate it, is so small that it usually is measured in a few cubic centimeters. That is why these type of valves are usually 3/4" to 1" in size and even OSHA concedes that NO FORMAL RELIEF CALCULATIONS ARE REQUIRED FOR THEIR SIZING AND APPLICATION. This tells you that these valves don't carry any "bells and whistles" and are pretty simple and routine.
Again, don't get me wrong. It's important that you recognize this application scenario; but it is just as important to not waste your time calculating back pressure and other effects when you are dealing with a quantity of discharge liquid that probably won't fill the immediate outlet PRV nozzle and, therefore, won't register any recognizable back pressure in the discharge header. This is just one of those good ole' common sense engineering applications that help bring us back to the reality that not all in this world is dependent on partial differential equations and the theory of relativity.
What is important in this application is identifying and justifying the relief of the discharge liquid. For example, if you are dealing with Methanol, Acrylonitrile or Ethylene Oxide it is imperative that you evaluate the SAFE manner and location target of the discharge fluid. Many times this exercise has forced me to employ Expansion Chambers in the blocked line rather than thermal expansion PRVs. This method avoids the discharging of toxic or undesirable emissions.
I hope these comments help to ease and justify your application.
Art Montemayor
Spring, TX