I use a cfc, and to get around wort loss, like every other brewery, I pump sterile hot water through the line after the kettle is empty. I achieve this with my Rims system by cleaning my mash tun during the boil, and bringing 5 gallons of water to a boil. After the boil and xfer, I flush the rest of the beer through the line with the hot water (which is chilled by the cfc, its the same line) from the mash tun. When the xfer is complete, I have hot water to flush all my lines and clean my equipment. Although there are cleanliness issues with all plate chillers, they do take up alot less space.
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