I disagree. I dont think the tank pressuure will get over 205psi if both valves are accurately calibrated. Tank pressure hits 100. Valve opens. And fills the cavity between both valves to 100psi. Then valve closes. It happens again with a 100psi difference from inlet to outlet which would be 200psi. At that point the second valve opens due to 200psi difference. That then drops pressure in the pipe between the 2 valves which would keep the 100psi valve open. If the 200psi didn't open then yea the first valve would have to see 300 psi to open. Once the pipe in between was at 200. But at 200 the 2nd valve should open draining that pipe and thus releaving pressure. I don't know about super accurate valves. But i have never seen one that opened at 100psi and closed at 99psi. Most i know of don't close until pressure as dropped about 50%. . As such the 2nd valve would close at about 100psi, leaving that in the pipe. Which actually may leave 1st valve open. If it does close it would open again at 200 psi starting the whole process again. Unless I missed where the 2nd valve doesn't vent to atmosphere (open tank).
For the purposes here, no atmospheric venting. You and Sean both give eloquent examples. Upon reflection, I believe some extra information is needed. First, the particulars of beer brewing can be ignored; this is strictly a question of pressure within the described system. Second, perversely enough in an age of precise digital control, the valves in question are controlled soley by
springs. An adjustable mechanism (screw agaist fulcrum) allows the valves to be calibrated to "open" (definition? Just
craaaack open @ rated pressure!) Springs are flexible pieces of metal annealed and tempered to have an increased modulus of elasticity, and exhibit an exponential response to increasing stress. I didn't consider this at first. Additionally, I realized there is another missing variable in this discussion: flow rate, which I'm guessing will be a function of pressure rise. The degree of valve opening will be a combination of flow AND pressure. Considering those nuggets, now let's look at the second valve: rated to open @200 psi, with line pressure hits 200 psi; the valve
strains against the spring, opening
juuust enough to maintain a line pressure
juuust below 200 psi, then closes.. Meanwhile, upstream, the first valve is seeing "downrange" pressures
juuust approaching 200 psi. Depending on how each valve responds to the flow/pressure gradient, the first valve will see what Sean calls "hotside" pressures
approaching 300 psi, the exact value of which depends on the overlapping behavior of two totally mechanical and
independent valve mechanisms. Ironically. some electricity and some solenoids, pressure sensors and some kind of logic circuit would solve this problem. The error I made was not considering the manner in which the valves open; I assumed they popped wide open, merrily ushering freshly brewed beer along its way until enough had passed, at which time each valve would snap closed and go back to the sports page and stale coffee. In truth, like most unsupervised non-skilled tasks, the valves function at low flow/efficiency, maintaining system pressures approaching, but not quite, the sum of the two valve ratings. Dangerously (you see this coming), if the fermentation tank sees a sudden spike in pressure because of a "sweet spot" in the fermentation cycle or increase in tank pressure, a system already on the edge of rated safe values can suddenly see a dangerous surge, especially if the connecting pipe can't allow the flow volume required to safely lower pressures. This is what I failed to consider before, and it highlights my biggest character flaw: the assumption that everyhing somebody else designs is optimally designed, ie, "how I would do it". In this case it led me to a completely erroneous, and dangerous, conclusion. Still can't believe this is the best it gets. On the bright side, it turns out that out intelligent control with system monitoring is what my buddy decided was the best option.