Compareing boilers and engines is far from straight forward ! …
Noel is absolutely right, to the extent I don’t think the 3 boilers mentioned can be compared using the information available. Best that can be said is they’re similar and that the biggest will probably produce more steam than that smallest.
To size a boiler professionally, the engineer needs to know:
- how much steam at a given volume, pressure and temperature the engine consumes at operating load. So the first question is how much work does the engine need to do. Keeping it simple, this is given in Watts, ie rate of work, or power.
- The power output needed is used with other parameters to select or design an engine of the right size. Size is determined largely by the swept volume of the piston, but that’s too simple. The power output of a heat engine is determined by how much energy is extracted from the hot medium (steam), as it expands in the cylinder as the piston moves away. If the cylinder was perfectly insulated, which it isn’t, the amount of energy converted from heat to motion is proportional to the difference between input and exhaust temperatures. So the designer has to allow for heat losses and many frictional losses, establishing how efficient the engine is.
- Knowing how much heat is needed by the engine to deliver it’s intended power output, allows the engineer to calculate the volume, pressure and temperature of the steam needed from the boiler.
- The volume of water and how fast it needs to be heated to generate that much steam can be calculated, again with due allowance for inefficiencies. The amount of heat required to raise steam is also work at a given rate, so it too is power (measured in watts).
- Knowing the amount of heat the boiler needs to raise steam allows the firebox and tubes to be designed. to produce it. The firebox has to consume a fuel of given heat value at a given rate to power the boiler. Again inefficiencies have to be allowed for, but the firebox is designed to deliver the necessary power output by burning fuel at a given rate, in Watts.
Notice that every stage is qualified by the need to take account of inefficiencies, in fact these dominate the design of reciprocating steam engines, which are generally inefficient. Heat is wasted in the firebox unless the fuel in completely consumed, heat disappears up the chimney because the tubes don’t transfer it to the water efficiently, heat is wasted bringing water up to boiling point, the boiler shell soaks up heat and radiates it and so do the pipework, cylinder, piston and valve gear. And then the moving parts waste more energy in friction and the movement of their masses. A big well-designed steam locomotive in tip-top condition might achieve 5% efficiency but less than 3% was common. Small model engines are likely to be less than 2% efficient.
In practice engines and boilers are sized by experience. The manufacturer would measure the steam volume and power output of his prototype engine on a dynamometer. Similarly, boiler makers would measure the heat value of fuel burnt needed to generate a given volume of steam, making it possible customers to match boilers to engines and know how much the system is likely to cost them.
Vital in commerce for the engineer to match engine and boiler efficiently because fuel is expensive but that rarely matters when running models, where the power output and steam requirements of the engine are unknown, and boiler efficiency doesn’t matter because not much fuel is burned.
With models it’s usual to simply buy a boiler of about the right size. With Stuart Engines, that was established experimentally over a 100 years ago, job done! The alternative is quite complicated, basically needing some good books on Thermodynamics and a well-equipped workshop supporting an elaborate experimental rig. Interesting, but rarely pursued I believe. Quite a few owners have made dynamometers and measured the power output of their engines, but not much has been done with boilers, probably because they are difficult to improve significantly.
IMLEC is very interesting, and one of the few sources of information on model loco performance from fuel to power output actually hauling real loads.
To find out which boiler is best for your engine it would be necessary to try all the alternatives, taking measurements and comparing the results. Probably not worth the effort unless something special is planned. Normally model engines are only required to run for a modest amount of time for demonstration purposes, and they provide plenty of interest just doing that.
Dave