No arguing, please…
Shall we try a little perspective?
People have tried "improving" miniature boiler efficiency more or less since the days when it was realised a scaled down version of full-size but with fewer and proportionately larger tubes was feasible.
More than 100 years ago, a Dr. J. Bradbury Winter built a magnificent 1:12 model of an LBSCR 0-4-2 tender locomotive called 'Como'. (I don't know if that was his or the original name for it; nor if the model-standard 5" gauge existed then – Como would be about 4-5/8" g.) It would be interesting to know its performance, given the photograph of the fully girder-stayed firebox shows the model apparently carrying the full complement of tubes of right size and presumably correct lack of super-heater. More to the point perhaps, does 'Como' still exist? I do hope so.
In the same 1917 volume of Model Engineer & Electrician describing how Dr. Bradbury-Winter built 'Como', we have a photo of a traction-engine to perhaps 4" scale (freelance) with a novel boiler. A water-tube coil forms an inner wall to an otherwise dry-wall firebox partially overlapped by a stepped portion of the multi-tubed barrel. The article carries the boiler drawing. The engine's builder, photographed driving it, was a Mr. R. Briggs…
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Since then, a good deal of accumulated experience had led to hundreds of well-functioning miniature railway locomotives and traction-engines to a very wide menu of designs. LBSC set out to give designs that may sometimes raise purist eyebrows, but actually work.
Competitions like IMLEC have encouraged examining how the engine uses the steam.
Presently, engineers like Doug Hewson, Peter Seymour Howell and Luker are showing us we can have locomotive fittings that may conceal compromises necessary for proper function, but whose appearances are as near scale and prototype as possible.
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Yet we still have the constraints: The models have to be driveable and their "works" reasonably accessible for servicing. We "can't scale Nature". Most importantly though, we are building scaled-down replicas of machines that became commercially obsolete partly (though not only) because they were just so thermally inefficient!
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So do we "need" delve into the intricacies of Thermodynamics to try to screw an extra % or so from something fundamentally inefficient? Especially as the gain may be a matter of diminishing returns, and the engine's performance on the day depends heavily on the coal available, the driver's skill, to some extent on the weather; and for traction-engines, very much on the ground conditions?
By all means experiment if you wish, bearing in mind that what the engine does with and to the steam, counts at least as much as what the boiler does with the coal and water.
Water is a constant, apart from hardness, but coal isn't very constant and is not going to improve. "Full-size" tests on the railways, steam-ships and power-stations realised that, and would analyse the coal's own efficiency. Perhaps IMLEC needs a calorimeter and chemical-balance as well as the dynamometer-car, but rather as its title implies, it is comparing locomotives all using a given fuel on a given day. It is not an absolute test of individual engines.
I am all for we model-engineers trying to make our engines built and operated to the conventional pattern, perform as well as possible; and for us to try to fire and drive them as skilfully as we can. Nevertheless, I very much doubt out-and-out thermal-efficiency chasing will really achieve very much more than the best available now.
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Thermodynamics – One of my managers gained his PhD in Very Cold Things… like liquid helium , which "is fun", he said. He told me his Physics Professor claimed that "God invented Physics – then invented Thermodynamics".
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Howard Lewis raises an interesting point with the engineers baffled by the engine. I have seen the Can't Be That syndrome several times. I have caught it myself. It is a common trait.
The simplest cause is too simple to see when you have years of deep knowledge and skill in your head. It is worse in a group, where respect for one's peers inhibits suggesting an error too elementary for their undoubted sagacity.
If I had a fiver for every scrappy Reauleaux Diagram and dimensions-calculation that littered the club workshop bench holding a newly-built loco chassis for months. The problem? Strangely-strangulated running (on air). The one who diagnosed and cured it? The least-experienced member (errr, me). The solution? A new exhaust-flange gasket – one with a hole through it.