Tapping the waste water as heat source for a heat pump seems like a better idea.
Tapping the waste water as heat source for a heat pump seems like a better idea.
In massive American homes the water heater could be hundreds of feet away from the shower.
Better to just have a filter on the drain similar to a dishwasher.
But it should be more efficient to run a heat pump against the heat exchanger's inefficiency/delta then to let it happen and compensate with an ohmic heater.
Yes, the wastewater discharge with a 100% efficient heat pump might actually leave colder than the fresh water comes, due to heat loss to the room exceeding the work required to pump the heat against the exchanger's losses.
The replacement for the lost heat would happen to the equilibriated water and could happen with a heat pump. In principle (if your heat pump and exchanger is perfect) this generates no entropy so is more efficient than putting things with finite temperature delta in contact. In practise it's probably just simpler and requires a smaller heat pump.
Whether you use the waste water (which will still be a degree or two above as exchangers aren't perfect) or whatever your normal source is (ground source may be warmer) would be about cost and making the heat pump work for not-the-shower too.
Or am I missing something?
For simplicity, if your hot water system was already a heat pump, you could run it past/into the cold side. No real efficiency gain vs exchanging it with the cold water (actually a loss in theory) but might be cheaper.
I was thinking a cop of 4 would be able to extract 4 units of energy to the heat exchangers 1. But there's only 1 unit of energy in it to extract, which the heat exchanger is already extracting basically for free.