If you increase the radius you will increase the volume, even if it is secondary. Volume is what this discussion is about. You’re splitting hairs, don’t you think?
There is also a lot more to bottle pressure design than just the size of the radius. I’m sure corners, neck heights, etc. play a part.
This doesn’t make sense to me. But, I’m too lazy to investigate. :) All I will say is don’t bottle to Champagne pressure in a standard bottle – they make 11 oz champagne (and Duvel, Orval, etc) thick for a reason.
I am not splitting hairs, you have failed reading comprehension. An oval bottle has an increased radius and the volume may not be any larger. It still has to be thicker. St. Peter’s in England bottles in green bottles with an oval profile. They have thicker glass. They are 12 oz bottles. Increasing the radius did not increase the volume.
There may be manufacturing considerations, but in general corners are stronger because they have a tight radius. The neck has a tighter radius too. The height doesn’t matter, because the linear stress uses this equation:
σlinear = pr/2t
where σ is stress, p is pressure, r is the radius, and t is the wall thickness. The height isn’t even in the equation. Note that this is the same equation as for the hoop stress except it is divided by 2, so the stress in that direction is half.
You keep telling yourself it’s the volume that matters though, that’s fine, you’ll be right sometimes. ;D
“However, for all bottles that did not fail at artificially-
induced discontinuities (including bottles
with no induced discontinuities), fracture initiated
at the base of the bottle. Figure 1 shows one such
bottle, which broke at 2.25 MPa. This is most likely
due to the stress concentration present where the
side of the bottle joins the base.”
IE the corners, which are almost always weak points.
As for the green bottles you mentioned, the thicker walls could be for added strength or it could be for asthetics. Keep in mind that manufacturing processes can change the strength of glass.
Ok, the corners are discontinuities which are weak points. This is what I meant by manufacturing considerations, but I concede your point. See how easy it is to admit when you’re wrong or appear to be wrong? ;) But the height still doesn’t matter, and neither does the neck.
And back to the original point - find me a paper that says it depends on the volume. Good luck.
I’ve carbonated in a swing top growler and a screw cap. Both work fine however, I prefer the swing top. Just make sure you don’t over prime and you should be fine. A great alternative to a glass growler is a stainless steel growler. A company in Oregon makes them. They are called Braulers and they are awesome. When people worry about bottle bombs but still want to carb in small containers, I point them in that direction. Full Sail Brewing co. currently sells them.
I’m no mathmetician here, but why does a 15.5 gallon keg, thicker walled SS, say it’s rated for 60 psi only? Our homebrew soda kegs, are rated for 130 psi, and they’re thinner walled SS than my big kegs. I must have missed some algebra classes or something…Oh yeah I was homeschooled! 8)
some general concepts about pressure vessels from my former life.
1. a vessel can withstand increased pressure as its wall thickness goes up. (same diameter cylinder with bigger wall will do better)
2. a vessel can withstand increased pressure as its radius drops (smaller diameter cylinder with same wall thickness will do better)
3. a cylinder is better than a square and a sphere is better than a cylinder. pressure is distributed against the wall perpendicular to the wall. this causes increased stress at corners.
4. pressure test with liquid and not gas. the stored energy in a liquid will dissipate quickly in a failure while that of a compressed gas does not