Also you have to understand the circular flow in your system. It's like a perpetual motion machine, in that such a thing isn't possible because nothing is 100% effiecient. Allow me to explain.
You're bringing cold air IN from the radiator, but that air is only cold because it was cooled by the water, which is cooled by the pelts.
Well pelts aren't 100% efficient so they will output more heat than they will remove. This means that the water will get warmer and warmer and the cold air coming in will get warmer and warmer and this will eventually lead to system failure.
I'm not sure if you understand what I'm trying to say, because it's kind of complicated, but such a system would never work. That's why people always send the heat generated by the pelts outside of the case and bring in fresh cold air from somewhere else. This way the heat generated by the pelts is no longer in the eqauation and the cold air comes in from some other source.
It's kind of like attaching two motors together, spinning one manually expecting them to go on forever since one will power the other, but because of ineffieciencies that will never work.