No it has not. Circulate means circulate no matter how slowly.
As said, this is all about words. We have to accept that you and I have different understandings of "circulate". To me, it means 'to continuously go around and around (a circuit/loop) in 'circles' " - as in CH, car cooling, refrigerator, the human blood "circulation" etc. - and I would not use the word to refer to movement of a fraction of 'one circuit' (of a circuit/loop). To you, it seems to mean any movement, however little, within a circuit/loop, even if a lot less than 'one circuit'. I think we have to live with that difference between us.
I cannot find anything on the web describing how the system works ...
I think that (at last!) I now more-or-less understand how the system works.
...but one site said it would heat enough for a shower - 35 litres in ten minutes.
Seemingly about 4.5 litres/5 minutes (0.9 litres/minute) for a 3 kW Willis. That corresponds pretty well to 'energy calculations'. Your suggested 35L in 10 mins would
not work for a 3 kW heater - that would imply that I could heat my 140 L cylinder in just 40 mins whereas, in reality, with a 3 kW immersion it takes about 2.5 hours. I previously posted the following, which you will find more-or-less identically for many products ...
A Willis Immersion heats approximately 4.5 litres of water to a high temperature every 5 minutes, so if one can decide before switching on how much water is required the pre-heating time can be calculated as follows:
- 4.5 litres for hand-washing, baby’s bath, shaving, breakfast dishes etc. = Pre-heat for 5 minutes
- 9 litres required for washing-up dinner dishes, medium sized clothes wash = Pre-heat for 10 minutes
- 9–14 litres required for a shower = Pre-heat for 10/15 minutes
- 54 litres required for a bath = Pre-heat for 1 hour
Are you suggesting that 35 litres in the top of the cylinder would be heated sufficiently with no water moving around
Not "without water moving around", but nor with what I would call 'circulation'. Heated water will rise out of the Willis at the rate of about 0.9 L/minute. That hot water, necessarily 'at the top' of the loop/circuit (since it is hot that all other water) 'pushes down' ('gravity', if you wish) on the water in the cylinder, causing 0.9 L/min of cold water to exit the bottom of the cylinder and return to the Willis - what you call 'drawing in' more cold water. After 10-15 minutes, 9 - 13.5 litres (per above quote, not your "35L") of hot water will be at the top of the cylinder and, of course (since its an essentially 'closed' system (give or take the expansion pipe, to which nothing happens), the same volume of cold water will have "moved" from bottom of cylinder to Willis. If it were a 140L cylinder, then this would effectively mean that about 10% of 'one circuit' of what you would call 'circulation' had occurred in 15 minutes.
I think that I would personally have found this much simpler to visualise/conceptualise if the feed from Willis to cylinder entered the cylinder a small distance below the top of the cylinder. The hot water from the Willis would then rise up to the top of the cylinder, and the fact that (hot) water had entered the cylinder would force some cold out of the bottom and back to the Willis. However, the actual situation is not very far from that.
... or would this be a flow through the Willis of 3.5 litres per minute?
As above, our figures differ - per the one's I've cited, it would be 0.9 L/min - but only until a total of 9-14 L (<10% of contents of a 140 L cylinder) had 'flowed'.
If left on continuously it would heat the whole cylinder without any flow of water?
It would certainly eventually heat the whole cylinder, with (if there were no heat losses) 'water movement' simply being a scaled-up version of the figures above - and eventually a total of approaching one 'circuit' of what you would call 'circulation'.
However, as I wrote earlier, when one gets to heating large volumes (say, requiring more than 10-15 mins heating), things get more complicated since, as in a conventional cylinder+immersion, some of the heated water will cool and fall to the bottom of the cylinder to be sent back to the Willis for re-heating. If a lot of that happens (due to poorly insulated cylinder), then there might be (what I would call) 'true circulation' for a 'circuit' or three.
Kind Regards, John