The business about thermal efficiency is one that I find interesting because I believe modest improvements in percent efficiency could have brought big reductions in coal and perhaps water usage and maybe kept steam around a bit longer.
J Parker Lamb’s Perfecting the American Steam Locomotive talked about the Big Boy consuming 20 tons of coal/hour, evaporating 100,000 lbs of water/hour, and producing 6000 HP at 40 MPH. I have seen similar evaporation rates for other Super Power steam evaporating 80-100,000 lbs/hr to produce peak HP’s of 5000-6000, although the Big Boy seems to take the prize on firing rate.
While it might be hard to figure out where all of the energy goes and how to account for the difference between theoretical thermal efficiency and what you get in real life, what is interesting about steam is that people will tell you for certain historical locomotives what the boiler could do for evaporation rate and what the locomotive could turn out on a shop dynamometer or on the drawbar of a dynamomoter car out on the road. That clue gives some important insight into steam locomotive efficiency and performance.
To get 6000 HP out of 100,000 lbs water/hr evaporated, that means you need to convert 150 BTUs of heat energy per pound of steam into mechanical output – there is no other way around that. Turning to my handy-dandy steam tables, assuming a boiler pressure of 300 PSI gauge, 315 PSI absolute, superheat temperature of 200 degrees, 15 PSI drop in the steam inlet passages, 15 PSI backpressure on the backstroke of the piston when exhausting steam, I get 60 percent cutoff (there is full steam pressure until 60 percent of the piston stroke after which the valve cuts off and lets the steam expand for the remaining 40 percent of the piston stroke before the exhaust event happens), 154 PSI absolute cylinder pressure at the end of expansion, steam cycle efficiency of 13.2% with feedwater heat, 11.4 without feedwater heat.
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