I'm sorry but this statement you made:
"It takes time to transfer the solar energy into the water so to fast and the water won't absorb enough heat so the excess flow is just a waste of energy, there will be a point where to slow and the panel stays to hot so not supplying enough heat to the pool. Finding the sweet spot is the desirable point."
is simply flat-out wrong.
However, the rest of your argument, that the wattage consumed pumping the water up to the roof-top panels may exceed the wattage used by a properly sized and programmed heat pump, is a valid question. Richard shows that he may be able optimize his heat gain vs his pumping wattage expenditure by slowing his pump or usage but that does NOT mean the panels themselves will work more efficiently.
The car model is actually a perfect example. The cooling system is virtually identical to a solar panel system except that the variables are different. The amount of heat energy generated by the engine may be no more than a large solar panel system, although the temperature is far higher, and pressurized to increase the boiling point of the coolant. Running your panels at night to cool your pool is exactly the same exercise as the car's engine so the same questions are valid.
Yeah, I pull the numbers out of my ...(hat)...as an example, no more.
So you are conflating apples and oranges. The question of how many watts do you burn for resultant BTU gains of solar panels vs a heat pump is valid. The assertion that moving the water faster through the panels loses efficiency (short of cavitation or leakage) isn't. They are differently things.
I'm in a different situation than Richard as my solar panels are less than a foot above my returns, so I don't have to expend huge amounts of pump energy fight gravity. Plus, the panels' own limiting factor on flow is simply failure from too much pressure. The noticeable gains in water temp from pushing the system are annoyingly offset by the cost and effort of repairing leaks or worse, replacing panels at about $70/each. When running my pump at full speed I must barely crack the valve for each circuit or risk leakage failure. Only at low speed can I full open the valves.
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