We started a few days ago. Here is our current analysis.
T is Thermal energy, P is Phase energy (which we made up; it's the kind of energy that is greater for a gas than for a liquid), E is Electrical energy, and M is Motion or Mechanical or Motor, as the mood strikes us. I made two colors of arrows because I thought it made the diagram easier to parse, but then when I looked at it, I realized that the green arrows are when the energy is being carried by the material fluid, and the black arrows are heat and work. Mostly. I was not consistent.
We'll start in the evaporator (top left). There is cold cold fluid, some of which is liquid and some of which is gas. (You can't see the fluid in the diagram, because this is an energy diagram; but anywhere there's a P, there's gas. We could have had more Ps for gas than for liquid, but instead we chose to have liquid be the baseline = no Ps.) The cold fluid in the evaporator takes in thermal energy from the food; that thermal energy transforms into phase energy, meaning that some liquid evaporates. (Hence: evaporator.) You could say this as, "The hot food helps evaporate the cold fluid," and that tells you something about refrigerant (the interior of a fridge is "hot" as far as it's concerned). Some of the refrigerant was gas already. We'll get to that.
The gas goes into the compressor chamber (bottom left, right half of box). In the compressor device itself (left half of box), electrical energy is transformed into M energy, squeezing the gas in the chamber, doing work on it and thus transferring thermal energy to it (first law). Thus is the gas made hot.
The hot gas flows to the condenser (bottom right), carrying its Ps and Ts with it. In the condenser, Ps transform to Ts (hot gas turns to hot liquid), and the proper number of Ts are radiated (or convected or whatever) off into the room. Now we have a merely warm liquid.
The warm liquid flows to the expansion valve (top right), where it is forced through a small opening ("throttled"), spraying out droplets and a bit of gas. The production of droplets is no big deal energetically (mere van der Waals interactions) and we neglect it. The dominant energy process is the partial evaporation: Ts turn to Ps. The result is cold gas. This cold gas goes to the evaporator. Remember we said there was already gas in the evaporator, and that it was colder than the food?
It seems to me that we would only need seven actors (plus maybe a few extras) to do this as Energy Theater, and I would like to do that, to see if anything new comes up when we make it dynamic.
Some remaining questions:
1. What is special about refrigerant, or about various specific refrigerants?
2. What does enthalpy have to do with it?
3. What does entropy have to do with it?
4. How does this diagram compare to the heat flow diagram common in textbooks, or to other refrigerator diagrams?
5. What are the names and thermodynamic laws associated with all the processes represented?
6. Are we right about partial evaporation being the dominant process in the expansion valve?

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