X-file said:
So the real extra potential of the short stroke engine (at equal inertia stress) is only an 8.9% improvement (not 18.7%).
You can guesstimate inertia stress by using the simplistic piston speed, but it's not almost as good. You could easily end up with an error of around 40% , and that's not really "almost as good".
Did I miss anything?
Well, quite simply yes, a few things. For starters, at the risk of being pedantic, the dimensions are a bit screwed up. The obvious elephant on the table is the concept of inertia stress mentioned above when it is really inertial force, or better still, force due to acceleration. Yes the increased force is there as mentioned above but it is somewhat of a nonevermind with regards to the realm of practical four stroke engine building constraints we are talking about here. Maybe there is an acceleration limit but I believe it is bounded by the practical limit of piston speed…at this time. Case in point is with Formula 1 engines experiencing three (3) times the maximum piston acceleration of our beloved Norton twins, ultra short strokes and all.
So why is it important to keep the dimensions and units correctly stated? By example, for a given engine, just by changing from the factory aluminum rods to properly designed steel rods we have increased the stress on the rods – yes, increased the stress. Stress is a function of load and cross sectional area and for a given piston force the decrease of cross section of the steel rod will result in a higher stress.
People have been shortening engine stroke for maybe close to a century and have not hit a wall due to acceleration. From what I can see, the technical wall is piston speed, and I am speculating that is probably due to practical limit of friction loss, localized heat and perhaps maintaining adequate lubrication. Cosworth Formula 1 has gone to DLC coating on the piston skirts to mitigate power loss to friction. The Formula 1 example of piston acceleration and dealing with friction seems to support the contention that friction due to piston speed is somewhat of a limiting factor. So to say “the real extra potential of the short stroke engine (at equal inertia stress) is only an 8.9% improvement (not 18.7%).” although probably technically correct it is mixed up and misleading as it assumes a somewhat arbitrary limit that is in fact not a limit nor any type of rule of thumb or guideline for engine design. Saying “engine potential at comparable piston acceleration” would have been accurate.
Mean Piston speed is a generally accepted rule of thumb as a good indicator of the class and performance of an engine relative to its competitors. From what I have read, piston acceleration is not a generally accepted rule of thumb for same. Things such as ring flutter and crank loading, ignition timing, rod loading, cylinder port performance and valve timing should be dealt with and usually are dealt with. A good example is what was done with the factory short strokes. Going from a long stroke to a shorter stroke; some things tend to mitigate the additional forces to a certain extent such as shorter stroke resulting in a more compact crankshaft, longer rods (reducing acceleration), higher performance pistons. etc.
fpm m/s
1,673 8.5 Low speed diesels
2,165 11 Medium speed diesels
2,756 14 High speed diesels
3,150 16 Medium speed gasoline
3,937 20 high speed gasoline
4,922 25 high speed gasoline
5,906 30 Competition - ex. NASCAR, Formula 1, Top Fuel drag
Formula 1 engines employ strokes on the order of 38mm with peak rpm ranging from 18,000 to 20,000. Our Norton Commandos fall in the lower end of the high speed gasoline engine range as outlined in the table above. A very crude analysis of the above indicates the Norton twin is roughly 2/3 up the range of mean piston speed and only 1/3 up the range of maximum piston acceleration. Room for improvement, eh