Hi Dean, Jason.
I like the simple approach you are taking. However, "Life isn't like that" is what I heard for decades every time I tried to "calculate" what should happen.
As a lover of numbers - but not the most competent - I enjoy all these number crunching exercises. And learn a lot in the process. Simply:
The pressure explanation is a bit too simple. While it expresses what the simplest theory should predict in "work preformed" by each cylinder - and Jason, I agree with your calcs. - this isn't really true of a more complex (more real?) model. You need to consider real cut-off, mean cylinder pressure, expansion into intermediate cavities... etc. to get a better numerical model of what the steam can do. In fact a lot of energy is lost to cylinder walls, and passage walls, while transiting the engine, so this "loss of efficiency" should be estimated - even if you use a fudge factor of 50% or something at each stage. As the steam expands into the HP cylinder, then from that to an intermediate chamber volume when the exhaust valve opens, followed by the LP cylinder, these expansions must be considered to guesstimate the mean pressures in both cylinders for the period when they can "accept the work from the steam" and translate this into thrust on the piston to produce motion power. I tried to estimate this in a "thought model" in post #19... In fact it isn't so clear that I find it confusing to read now... (Sorry about that!).
But the bottom line is that the 100psi supply steam - if exhausting at 33psi - would only be applying 66psi AVERAGE pressure for the length of the stroke. At exhaust, the steam is expanded into the transfer passage volume - reducing pressure further - and therefore the inlet steam to the LP cylinder is a much lower pressure than you have modelled.
So maybe a real set of sizes needs to be computed to better understand this? (I'm not clever enough to work it all out).
Conclusion: I think the simple "volume" based calculations say that the 2 confirgurations that Richard 1 postulates are effectively the same. But when further losses of transfer passages, and heat loss are considered, the larger piston LP is the way to go, because there is less cylinder wall to loose the heat in this configuration. (Maybe that is why it has always been done that way?).
K2 - Now I need to lie-down and rest the grey cells!