Hi Doug,
I have fiddled with my spreadsheet to check hoop stresses...
(But hope I haven't made any chumbos! - Xcel has the habit of changing a formula when I copy a column and re-enter basic size data... and I sometimes miss the obvious error! - fixed 2 errors, but did I find them all?).
Here's what I figured:
- TOP TANK (allowing for stress concentration of wall penetrations - e.g. for Safety Valve, water tubes, etc.): 2-1/2“ main shell at .075” wall thickness: Looks like the hoop stress is 2621psi versus a limit (ASME) of 3950psi: so OK.
- Water tubes: 3/8” tubes at .03” : Looks like the hoop stress is 134psi versus a limit (ASME) of 3950psi: so OK.
- BOTTOM tubes (allowing for stress concentration of wall penetrations - e.g. for water tubes): 1-1/8” secondary shell .055” : Looks like the hoop stress is 2958psi versus a limit (ASME) of 3950psi: so OK. - The sensible ASME limit would be 60psi NWP for this size of tube: So you have an extra margin of safety.
I have been thinking about your comment that some Yarrow designs show a larger water connection from the top tank to both bottom tanks... I assume to encourage water circulation, if these tubes are UNHEATED, but lagged? That way there would be the main water tubes being heated that generate steam, while the "down-flow" tubes are not able to generate steam and as such have more mass, and therefore cause water to sink down, whereas the heated water tubes half full of steam have less mass and the water will therefore rise-up them. It seems like a good idea, but you need 2 pipes, one to each bottom tank. And the calculated diameter for these pipes depends on the number and CSA of the water tubes - that generate the steam. I have done a crude calculation suggesting that all you need are 2 unheated water tubes each side to get the downward circulation water that you need. In fact, they may not be needed at all! But if you wanted to arrange such, then you could take 1 unheated pipe at each end to supply the re-circulation water. However, usually I consider steam bubbles to be just 2 or 3 mm across, and the water tubes are >9mm internal bore, so should boil freely and not choke with steam. Your choice as to whether you decide to add the complication of re-circulation pipes, or not? - I think "not"... but others who have more experience of water tube boilers may advise "do it".
As noted for the "bottom" tubes you propose (results above), you could go to 60psi NWP, but NOT HIGHER. The safety would be set for full pressure relief at "NOT EXCEEDING" 63.5psi, but if you keep to 50psi NWP the safety shall be set "Not Exceeding" 53psi.
Test pressure for 60psi NWP = 138psi; but if 50psi NWP => test at 90psi.
NOW to steam consumption: or maybe tomorrow..
Too busy now.
Hope this was of some interest?
K2