Got some comments back from a friend regarding this . . .
(Just so this makes sense, he was thinking a trough design (so the basic reflector design is only two dimension)
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Geek friend:
"Interesting. Guessing it could be made to work, somewhat. You brought
up one issue, which is the heat transfer back from the working fluid (in the
pipe) to the water needed to get TIR in the trough. I think you would end up
heating the entire tank rather than adding a lot of heat to the working fluid.
That said - you might be able to come up with a N-S oriented open trough
that would work in air, and might need adjustment only seasonally to account for
solar elevation."
"There isn't any material that you can apply only to the top of the
trough achieve TIR, as you only get TIR at an interface from a dense to a rare
medium. However, if you filled the trough entirely with a medium denser than
air, but thermally resistive, then you might have something. But it'd be
something heavy and expensive.
"Things also to consider could be a shaped "lens" atop the trough, or a
series of fresnel lenses. But I think the design trade would be for making the
maximum use, all the time, of all of your optics versus the mechanically
complexity of focusing the mechanism.
"H'mmm."
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Phil (again):
Looks like his perspective matches yours regarding top-side lenses, reflectors, refractors, whatever, to grab more sunlight in. Dunno if that is entirely valid, as the total exposed surface area is still only the total exposed surface area. That is where the total energy available comes from? Again, that is my assumption, and this is new area of pondering for me.
I had considered "wing wall" reflectors -- (e.g., for a North-South trough, the West reflector goes up in the morning, and the East reflector goes up in the afternoon).
That increases the actual total reflective surface area, and so more energy is collected. However, it starts to slip away from one of the beauties of your concept -- no mechanical motion required.
But I am going on with the "reflector board" two-dimensional test rig, and we will see where that leads.