Thanks Jonathan, as always.
I am trying to understanding how the formula translates in the real world. 1KWh @ 57L p/h = a 15c rise. When you say the water will rise 15c, does that mean, at 1PM the water is 15c, 2PM it is 30c, 3PM it is 45c and so on ? or does it mean that a constant temp of 15c will be maintained across the 3 hours assuming the starting point is 0c ?
It's an instantaneous thing, so Imagine a boiler heat exchanger. water is pumped into one side which pushed through the heat exchanger and comes out the flow towards the system.
3 things will determine the temperature of the water coming out the heat exchanger (HEX) to the flow.
1. The initial temperature of the water coming into the hex
2. The amount of heat being applied to the hex
3. The volume of water (flow rate) of the water being pumped through it per second
If the incoming return temperature was fixed, say 10°C. And the heat applied was fixed, say 20kW. And we pumped 5 litres per minute through. The temperature that should be coming out of the hex flowing towards the system would be:
Temp Rise (°C) = "Heat (kW) x 60" divided by "4.2xFlow rate (litres/min)"
Temp Rise (°C) = "20kW x 60" divided by "4.2x5 l/min"
Temp Rise (°C) = "1,200" divided by "21"
Temp Rise (°C) = 57°C
The temperature flowing into the hex was 10°C, the temperature rise is 57°C so the temperature flowing out the hex is now 67°C
Lets do the same again, but increase the flow rate of water, still 10°C water entering, and 20kW being applied but this time we pump 20 litres per minute through
Temp Rise (°C) = "Heat (kW) x 60" divided by "4.2xFlow rate (litres/min)"
Temp Rise (°C) = "20kW x 60" divided by "4.2x20 l/min"
Temp Rise (°C) = "1,200" divided by "84"
Temp Rise (°C) = 14°C
The temperature flowing into the hex was 10°C, the temperature rise is 14°C so the temperature flowing out the hex is now 24°C
Were still adding 20kW of heat energy per second to the system water, the same amount of heat is flowing in the pipes and radiators, only now its at a lower temperature.
The formula works the same for heat given off. If I had a huge radiator, I could give the same flow water at 20 litres per minute at 24°C into it, with 10°C coming out the return or the radiator, that radiator would have to be loosing (Giving up) 20kW of heat to the room.
Of course the room would be very cold if the return was 10°C and the radiator huge if it was giving out 20kW, but the calculation is the same both ways.
So although a heat pump may not be lifting the water temperature as high as a boiler, the same energy can be put into the water at a lower temperature, and the same energy released from the water at a lower temperature to the room.
To heat a room with a lower temperature water flow, means a bigger radiator, as the higher surface area with the air lets the same heat out using a lower size of panel. And the higher flow rate means bigger pipes typically, as to flow between 2 and 4x as much water through the pipework that would have been used for a boiler, would create too much resistance in the pipe, resulting in very big pumps being needed, making the flow of water audible, and potentially even erroding the pipework away with the friction.
This is why generally, most houses will need bigger radiators and pipework to suit a heat pump.
This also assumes the pipework and radiators that are currently in place with a gas boiler have been sized up as part of a design. (more often than not they have not been "designed" and just fitted as thats what fits in the space given, so often some existing radiators and pipework may well be suitable for low temperature/high flow from a heat pump. But there will usually be at least some of the system needs altering to accomodate.
The efficiency of a heat pump also dramatically increases the lower the flow temperature it runs at. So where a boiler might be 10% better off running 50°C flow temp vs 75°C, a heat pump could be 250% better running 35°C vs 55°C cost wise.
However 35°C flow with 30°C return is very unrealistic for heating by radiators in most houses due to the size they would be.
45°C flow with 40°C is pretty achievable in most houses, sometimes with Triple panel radiators (ugly in my opinion) or by fitting 2 normal sized radiators in a room that only had 1.
55°C flow temp is the highest a new system is allowed to be designed to, whether its a gas boiler or heat pump (Thats a new heating system not a new house, new building regs for the replacement of any heating system)