Yes, warmer. You do know its the pressure of the atmosphere which to a large extent, keeps the bottom of the pump filled with water, don't you? ... I suppose you also know that you can only suck water up a pipe to a pump which is around 20 to 30 feet above the water level depending on the pump type?
That is true of a 'lift pump', operating in the atmosphere. You're talking about (giving my age away) 'O-Level Physics', and I've been educated to a much higher level than that (in a wide range of disciplines)
In fact, if I recall correctly, we did 'lift pumps' and 'force pumps' in the first year of my O-Level course, so when I was 11.
Anyway, getting back on topic, what you say is not true of a
submersed pump. One such as we have been discussing would work the same even if atmospheric pressure were zero. Atmospheric pressure, when present, will simply add, equally, to the pressure which is trying to push water into the inlet of the pump and the pressure (if any) trying to stop water being pushed out of the outlet of the pump, with no net effect.
With a submersed pump, whether or not there is any atmospheric pressure, the hydrostatic pressure of the water above the pump (or, more precisely, the difference between that and the pressure within the pump) will "keep the bottom of the pump filled with water". If the pump is, say, 5 metres below the surface of the water, the hydrostatic pressure will be about 0.5 bar - so the total pressure trying to push water into the pump will be 0.5 bar without an atmosphere, or 1.5 bar with a standard atmosphere. However, if the outlet were connected to 'the atmosphere' and the pump not running, the pressure within the pumping chamber would be zero or 1 bar respectively, and in both cases the net pressure pushing water into the pump would be 0.5 bar (i.e. the hydrostatic pressure)
Furthermore, since (even though there are no valves) we are essentially talking about a '
force pump', rather than a 'lift pump' (i.e. it is
not atmospheric pressure which is lifting the water), I don't see that (unlike the case with lift pumps, which you described) there is any theoretical limit to how high the water could be lifted. A look at a fire engine should help you to believe that.
Your pump is not a self priming type, its impeller needs to be submerged under the water level.
It does, but this is a bit of a play on words, since any
submerged pump will be "self-priming", even if atmospheric pressure is zero, for the reason described in the last paragraph - i.e. hydrostatic pressure will always be acting at the point of the (submerged) inlet, even if there is no atmospheric pressure. To be pedantic, if one applied air pressure to the outlet pipe that was equal to or greater than the hydrostatic pressure at the pump's inlet, the pump would not "self prime".
So, I don't think that I'm much further forward than I was last night. Atmospheric pressure (whether zero or anything else) is irrelevant, since it's effects in pushing water into the pump and stopping water leaving the pump will cancel. So we're back to the fact that it can only work if the impeller manages to create a pretty low pressure zone at the position of in input hole. Consider the below, which is roughly my situation - pump sumberged at about 0.5m and lifting water 3m. The atmospheric pressure (whatever, even zero) cancels, so the action of the impeller has to be to create a pressure differential of at least 2.5m of water (about 0.25 bar) between the inlet and outlet orifices, which are little more than a couple of inches apart. I've known that all along, but the thing I have found so hard to 'believe' (even though it must be true!) is that such a tiny impeller, with no discernible tilts, tapers or 'scoops', can actually achieve that!
Kind Regards, John