Don't know if anyone will bother to read this but your figure are wrong, totally. Well infact they are perfect but the wrong calculations. You have figured out the amount of work done getting the water up tp a height of 2m. In you model here this assumes movement straight up which would reduce the friction, also not all the water makes contact with the copper, a very small portion does. Also the water can contain energy other than heat, as it moves up all the water gains potential energy which changes back to kinetic on its way down. Some of this water will go straight back through the pump so loses no kinetic energy and so on. IN other words your 20.5 watts estimate is way, way to big. Also these system are not quite, hence sound energy needs to be considered. Sorry if this sounds rude but its good news, the large amount of money used for your pump now seems better value for money.
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