The Pursuit of Efficiency and the Science of Steam
technicshistory.com
technicshistory.com
The crux of the matter is that horsepower is an instantaneous measure. There's a sweet spot just after the combustion where a 100 hp engine is indeed producing 100 hp, but it doesn't last for very long. Steam engines generate power more evenly (more area under the curve) so ones that are rated for less power may in fact be capable of more work.
There wasn't much about him for an eight year old to appreciate, but every time I see an article on steam power I end up wishing he'd have lived longer so I could've known him as an adult.
If you enjoy videos, Proper People did a fantastic video about a 115 year old steam engine that still works that used to pump water for a city in Massachusetts. Great watch full of info and some beautiful shots. https://youtu.be/nBImv1mlcMg?si=XUyME3AmDB30sKaj
It's a testament to engineering that hot air engines are remotely competitive when so many of the physics line up for steam.(phase change, heat capacity, heat conductivity)
The limiting factor as always is heat transfer between the heat source and the medium. If we had better heat exchangers, the theoretical maximum of steam is still the best.
This seems to to exaggerate the incorrectness of Woolfs model. Assuming that the temperature is held constant (which apparently was stipulated in Woolf's patent) this is true according to the ideal gas law.
It is not clear where Woolf's model breaks down, but this part seems reasonable.
It is possible that the temperature was not held constant in his device, and, working off of the caloric theory of heat, assumed that the issue was leakage of either the original steam gas or of the caloric. In a sense, losing heat (caloric) would be to Woolf's model the same thing as having a leak.
So under the ideal gas law, a gas falling from 20 psi to 15 would expand about 20/15 = 1.33x its original volume, not 20 times. Likewise it would expand about 2x when falling from 30 to 15, not 30x.