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Fans and pumps are a double whammy. They use electricity and so increase the "what you need to do" part of the efficiency equation, but as Joule found out, the electricity turns into heat, which then needs to be removed to keep the stuff cold. In this case you are paying the electric bill twice, once to put the energy into the stuff, and once again to take it back out again. It makes sense to aim to keep the amount of pumping and blowing to a minimum while you are making beer (or pies or pallet movements for that matter).

Citation: ASHRAE Journal, vol. 54, no. 8, August 2012