Thanks to all who took the trouble to reply.
The basics of Carnot cycle efficiency limits were drummed into my alcohol fuelled student brain some 40 years ago, but they are of scant help when optimising boiler flue layouts.
Ady1, thanks for the reference to ME 3618 – I shall look it up.
Julian and John, you need to get together and come to an agreement on the Kt factor! It seems to give a figure that will use most of the heat in the flue, but I think it is very empirical.
As I said, I have no problems with the Ee factor, which is all about balancing heat input to steam demand from the cylinders. One term that it does not include is engine speed, presumably because most 3.5 / 5 / 7.25” railways trundle round at approximately the same speed for safety. The other term it really needs is “Grate Loading” – i.e. how many kg/hour/m2 of coal can you put through a grate before you get clinker. I am not convinced about consequences if you take it too low. Grate Loading must be a relevant design parameter that is a function of the chosen fuel – clearly it would not be a limiting factor with gas firing, for example. I have expanded the formula to take account of these parameters for road engine use and it is quite a simple theoretical derivation.
Duncan, I am glad I am not the only one who has problems with Eb (I also agree that superheating is a grossly misunderstood science). Julian, your comments about the rail motor are exactly pertinent to the flaw in the Eb factor – as well as it not being dimensionless. John, I have come to the same conclusion as you that the critical boiler factor is to get the ratio of tube bank area to grate area about right. I can see that a short tube stack might lose some efficiency up the chimney, but can see no other consequence, assuming blast nozzles are adjusted to match the reduced flow resistance.
As a result of all this, I am working on a program to calculate the heat transfer and flow resistance in a bank of tubes from first principles. I am using the summary of heat exchange correlations as reported here:
**LINK**
So far, I have proven that flow in model (and many full size) tube banks will be laminar, and have got the kernel of the spreadsheet working fine. I hope to either prove or disprove some of the assertions about “all the heat transfer taking place in the first n% of length”. Test results in my 1929 Locomotive Engineer’s Pocket book tend to disprove the assertion, and I hope to calibrate the mathematical model against these.
JasonB, I am already in contact with Julia and SuctionHose on TT forum. My alter ego there is tenor. I have a build thread there for the project that is prompting all this at:
**LINK**
or at:
**LINK**
Not surprisingly, this is a stumpy little boiler with a very short tube stack – but how many of what size? And if they are very short, can I use a smokebox superheater coil to soak up some of the waste heat (as Fowlers did) or should I go to flue superheaters? Time and a lot of sums will tell.
I was working on an article about the Fowler design and build which prompted this line of thought. Then when you start to marshal your thoughts, you find they are not very clear in the first place. Hence the plea for any other work. Seems I might now have two articles to write………………
It all keeps the grey matter going.
Martin