First of all, let me express my appreciation for all the comments you have all made- a very considerable efforts in some cases. Thank you very much indeed. I will try to produce a single response to all these points, starting with some generalities, then getting to specific individual comments and queries later.
Let me start by referring to Feltonhill’s comment ‘I’m not sure where this discussion is going’ and reiterate my hope as to where it might go. What I have done, as Paul Milenkovic observes it to link together a series of engineering models of the key components of drawbar efficiency; engine efficiency, boiler efficiency, and Locomotive resistance (LR); the first is a fully worked through first principles model, the latter based on detailed estimates of the likely magnitude of the components of LR; the boiler efficiency model is simply an empirical model based on test results.
Now such theories are wonderful things, and the question is rightly posed, but what of the experimental data? As I reported, I have explored the value of these models by comparing their predictions to a wide range of UK data collected at the test plant, about 1500 2 hour long test plant runs, about a dozen different locomotives from different builders, with different design philosophies, plus road testing. The models predict the outcome of these tests remarkably well. In this one ought to bear in mind that there are differences of 5% or more in measured efficiencies of different members of the same class, both ostensibly in ‘as new’ condition (a fact not reported), for reasons I think I understand, and tests also showed that between visits to the shops, efficiency could deteriorate by 10% or more. This needs to be borne I mind when trying to validate the models against data. Also, it was not unknown in our country for enginemen to waste steam through safety valves, draincocks whistles etc., use it for auxiliaries such as braking, worst of all actually using precious steam to keep passengers warm.
I’m interested in finding out how well these models apply to US types. The stimulus was the Porta comment I quoted, which implies that there might have been major scope for improvement; I’m a bit sceptical about this. My hunch is that latter day US designs would all have efficiencies within 10% of each other, and at most the best could have been improved by 20% by the kinds of technologies advocated by Wardale and Porta, half of this from the GPCS firing system, significant, but not game changing I think.
What I therefore need is US data of two kinds.
Firstly, input data for the models. The prime need is for information on blastpipe dimensions and superheat levels, for the work I have done shows these are the things which will most impact engine efficiency. The engine efficiency models also require detailed knowledge of 19 separate dimensions of the motion, to calculate accurately the openings of the ports during the engine cycle; I also need to know lap, lead, exhaust lap, port width, the perimeter of the ports (i.e. % of valve circumference with open ports), clearance volume, operating pressure, cylinder diameter and length. Hoping to keep things simple, I asked just for superheat and blastpipe dimensions. I have access to some of the other data, and can work my way round what I don’t have. This would allow first pass estimates of engine efficiency to be made.
The second need is then for US test data to see how well, or otherwise, these predictions fit with experimental reality; in this it should be noted that as well as taking into account the variability in different class members, in the UK there were in initial plant testing some very basic problems in measurement- fortunately there’s enough raw data available to be able to pinpoint what these problems were. So measurements are not always as reliable as they seem. There is evidence of this in the Altoona test results too.
Even if such test data were not available, I think these first pass calculations would allow one to say how much scope for upward improvement existed, and give an idea of how much the engine efficiency of latter day US designs in fact varied. I would be happy to publish the results of these calculations in this forum on a ‘for what it’s worth’ basis. The quality of the output will depend on the quality and amount of input data I can get- garbage in, garbage out. To improve estimates of boiler efficiency and LR would require more data still, though for first pass estimates, I think what I have is good enough. I am acutely aware that there are aspects of US practice that my models may not incorporate.
One final generality. My interest is in how much efficiency can be improved, as Wardale, Porta and the 5AT group, with whom I am in regular correspondence. However, locomotive efficiency is but one element in the overall financial mix. My understanding is that even in diesel days, US philosophy has been to send out freight trains with just enough power to get over the road without stalling (I exaggerate). Working heavy trains at low speeds leads to low drawbar efficiency, as my illustrative calculations show. Drawbar efficiency could be improved simply by running shorter, faster trains; even then this is not the full story, because if you run faster you need more dhp-hr to cover a given distance, so putting coal consumption up. How this all pans out is a question for accountants; all engineers can do is provide an accurate assessment of efficiency over a range of operating conditions, to allow you to estimate operating costs. Overall it appears to have made sense to run longer, slower trains, thus depressing drawbar efficiency.
Now to specifics.
Firstly, Juniatha, March 26th 09:31. Thanks again for such a detailed set of comments. I’d obviously be very interested in knowing the dimensions of the of the Jabelmann arrangement. It was watching the soft exhaust of 844 and 3985 on You Tube that led to me wonder about Porta’s assertion. With respect to your question about draughting, estimating this is not part of the process. I have done some work, based on ideas of the author of the engine efficiency programme, to attempt to work out what the entrainment ratio (ratio of flue gas to exhaust steam) of a front end is, hence how much coal can be burned. This foundered on the inability to estimate how much the chimney is able to flatten the ‘peaked’ velocity profile of the exhaust leaving the blastpipe. Others are working in detailed computational fluid dynamic modelling to address this. The engine efficiency programme only needs to know the blastpipe pressure, which is determined by the flow and temperature of the steam. Since the programme does not know this at the outset, it does a series of iterations until the flow and temperature match the flow into the cylinders, and efficiency of expansion.
On the steam rates, I’m in no position to challenge your assertion that the UP types can and did exceed 100000lbs/hr, but it would have been very uneconomic (though see comments above about economy). However, I think a distinction needs to be drawn between what could be done, and what was regularly done. If I may illustrate; in this country, we had a class of 10 wheelers, the Scots, that had small grates (31 ¼ sqft) relative to the amount of work they were expected to do. Consequently, the specific evaporations they achieved were higher than any other type. On their best runs they sustained about 1650IHP and produced shorter term bursts of 1750 IHP. This translates to about 700-750lbs/sqft evaporation. Crews claimed they ‘wouldn’t steam’ (I think they meant they burned too much coal!), and one was sent to the test plant where they got 1020lbs/sqft/hr on second grade coal, the highest recorded there. One of the class is still working one of the many steam specials we have. Without wishing to suggest anything other than top class professionalism, crews love to thrash their steeds. In 2009, it delivered a short term effort of 2350IHP needing nearly 1150lbs/sqft/hr, 50% more than they habitually delivered, higher than anything else I can find in UK history, but hardly representative!
Understand your comments about Porta.
Comments on US draughting systems; understood and agreed; it is just how much more might have been possible with better draughting that interests me.
According to my programme, if you had a blastpipe area equivalent to a 10” diameter single pipe you could get 8000ihp from a Niagara, 45% cut off at 100mph, cylinder rate about 117000lbs/hr if superheat were 750oF, quite possible from a 100 sqft grate + feedwater heater, but not I think a regular practicable proposition. Because of the need to have sufficient cylinder volume to develop high power at low speeds, all engines can deliver far more power than their boiler could hope to produce at high speed: the issue is boiler capacity, not engine power.
I’m not saying that lap, lead etc. make no difference, just that the effects are not that large, this on the basis of analysing UK style dimensions; it might pan out differently with US dimensions, though I doubt it. There is a well told story in this country about how changes to these settings led to a massive improvement to the efficiency of the original Doncaster Pacifics. One of the ‘high priests’ of valve gear design in this country, and a Doncaster man too, saw the results of the programme I am referring to just before he died, and, understanding the basis of the calculations, had the grace to admit that the explanation put about for the previous 75 years had to be wrong; the benefit was all about the redesigned gear being able to operate in shorter cut off, compared to the long cut off/ low steam chest pressures allowed by the original design. I have corresponded with Wardale, but not on this subject.
There is indeed no magic in 30% cut off; it is just that if you plot efficiency vs cut off, you find that the decrease is relatively small increasing from 15 and 25%, and then progressively begins to get bigger and bigger for each additional % cut off- 30% is an arbitrary breakpoint between ‘not much difference’ and ‘quite a lot’ of difference, and beyond 40%, ‘very big’ differences. As in Germany, drivers in this country often, for the practical reasons you describe, drove on part throttle, and longer cut off than they needed to, offending the purists who correctly said that the most efficient way was full throttle, short cut off; however, providing cut off was not much above 25%, any efficiency losses were marginal; test plant results confirmed this.
Poppet valves are another big discussion point; maybe this should be shelved.
On the point about it being cylinder back pressure, not blastpipe pressure being important for efficiency, I agree. However, what the programme I am describing demonstrates is that to all intents and purposes the two are the same thing, or at very least, highly correlated.
With respect to your comments on the SSCs of the UP types at 5000 IHP being too optimistic, this is entirely possible! As I indicated in my comments, the input values I chose for superheat and blastpipe area were completely made up; I am looking forward to repeating the calculations with the correct values. The first column of my Table shows that develop 5000IHP at 100 mph is about 30%; the exact figure will depend not only my guesses about superheat and blastpipe dimensions, but also other guesses that I have made with respect to engine and valve dimensions. The allowance for feedwater heater on boiler efficiency is a bit of a botch; I am in essence assuming that the amount of heat from coal needed is about 10% less than that would be needed to produce the flow of cylinder steam in no feedwater heater were present; this is just another assumption that needs tightening up if one were to do more accurate estimates. No account is made of the steam required by auxiliaries. This may sound like a damning series of admissions, but remember my purpose was to illustrate what could be done, if the relevant data were available, not to produce accurate estimates, these will come later if the necessary data is available. Having said that, I do believe the drawbar efficiency estimates are in the right ball park, and the changes I alluded to with respect to speed realistic.
The same goes for you questions about resistance; the underlying formula for resistance I use does separate mechanical and rolling resistance as you suggest. I think the approach used to define mechanical resistance, developed by a friend, is sound, and with data about the mass of parts of the motion, pistons, valves, journal sizes, spring forces etc, could be applied to US designs. I am not confident that my extrapolation from UK locomotives is sound; this is another big project to put right, but I think we are only talking of 10-20% deviations from the figures I quote, so I am I the right ball park at least.
I am wondering, having written this, if it would not be better rather than to try to do a broad brush survey of many types with partial data as inputs, to take one example for which all the details are known, and for which there is test plant data- e.g. the Niagara as mentioned, just to see how applicable the models are to US practice. It all depends on the data which is available.
Feltonhill, March 26th 2.01pm Good to know the T1 and Niagara reports are still around- how can I get hold of them? This would go a long way to answering my query. I might be able to source the Santa Fe book over here. I got to know Phil Atkins well when he was librarian at the NRM, and if he still has the same e:mail address, I’ll see what he can add. (He was the one who hired a pick up truck and went to the Rugby test plant just before it was bulldozed, and saved all the raw data and correspondence associated with UK testing- probably the only surviving raw data we have). I’m not sure what gives the impression that I have used total evaporative heating surface- the surface area referred to is that of the grate.
With respect to combustion chambers, there were some attempts to incorporate these into UK fireboxes, but not I imagine of the size possible in the US; I’m not familiar with the theory but suppose the idea was that the more space you have the greater the time for combustion to complete. Now, Orsat analyses of smokebox gases showed that it was rare on UK designs for combustion to be incomplete, except with respect to unburned particulate coal, so if they did have an effect on combustion it would be to burn some of these small particles; however, given that the extra lifetime of these particles in the firebox would be small, I am not sure there would be much benefit- that’s where the US data would be most helpful.
The Professor who produced the first principles model of the engine began by trying to do a first principles model of the boiler. He abandoned the attempt because he felt he couldn’t do a proper treatment of radiation vs convection- if it wasn’t robust, he didn’t want to know. I think there is an even more fundamental problem that he didn’t address, namely the loss of unburned coal from a lump coal firebed. You can measure it, but as far as I’m aware, no research was ever done to try establish the principles involved (there is some work quoted by Wardale, but I think this is the wrong concept).
Your description of the changes to the Y6 fireboxes is of great interest to me, because there is something about US boiler design I don’t understand. In this country, 19th century engineers believed that a long distance between tubeplates was a good idea to maximise heat capture. When superheaters were added, this meant that whilst the steam was hot near the firebox tubeplate, as the flue gases cooled along the length of the flues, they actually began to cool the steam in the superheater! Bad news. Boilers tubes reached a maximum of 22’ here; it took about 30 years to figure out that if you wanted top superheat, it was inadvisable to go above 17’. And, in fact if you work out how much residual heat there is in the flue gases, the extra amount you extract between 17 and 22’ is pretty small anyway. So, looking at the massive size of some US boilers, how, I ask, did they manage to get top superheat levels?
Your SSC figures for the UP types give about 15.6lbs steam/hp-hr; with the original assumptions I used I get 6000IHP at 70 mph in ca 33% cut off, 89600lbs/hr to the cylinders: at this stage this is remarkable agreement! So we’re not too far apart, though I’m a bit better at 14.9 lbs steam/ihp-hr; from what I read, my blastpipe pressure of 19.7 is way too high, which seems to suggest the superheat is not as good as I suppose.
Lars Loco 26th March 5.34pm
Interested in how the discussion on 100000lbs/hr pans out- see my comments above on ‘normal’ vs ‘maximum possible steam rates’
Lars Loco 26th March 6.26 pm
I’m more than happy to share the engine efficiency programme with you, if you can suggest how I can get it to you; as far as I know Microsoft won’t even let you send zipped .exe files now. It’s only 500KB!
I can also send two published papers from its author, describing its fundamentals; there is also one from me describing how I went about applying it, though I have to say this is rather long! I should also say that I’ll send you a 1 sider on what’s wrong with it- its author would have wished for nothing less than complete honesty, but this is not to undermine its value. It is in my view a complete game changer in our understanding of steam engine efficiency, provided it is handled with care.
Paul Milenkovic March 27th 12.53 am
Thanks for your supportive comments; as outlined above, you are correct about the gist of what I am trying to do. I have Wardale’s book and it is indeed a treasure trove. The point about Wardale however is that he is very proud of the fact that he designed his 5AT using only techniques which were available in the steam age! He has used the programme referred to above to check out his calculations on the 5AT, and found good agreement, though I have the suspicion he prefers the old ways!
Thanks again for all your responses; 9 in 24hours; that’ll teach me to go off enjoying myself doing other things!