I am trying to design a small cooling setup which has two parts: the compressed air vessel and the turbines. My understanding is that the compressed air, upon being released, passes through the turbine and loses its energy to a useful process (the turbine could run another compressor for instance) and thus becomes cold. This cold air is then released where needed (a room, a fridge etc.)
Vessel material: stainless-steel 316-grade Design temperature is 150°C (Assume a value upto 200°C for easier calculations, if you want)
How thick should the walls at points A, B and C be to be safe with these three design pressures?
Design pressure 𝘼 =5516 kPa
Design pressure 𝑩 =4482 kPa
Design pressure 𝘾 =2758 kPa
I don't need exact answers, but a largest (for safety) approximate would be fine too. If you could give me the relevant formulae and laws (capsule shaped vessels) so I could calculate it myself, I would really appreciate it! Note that I am a newbie, so correct mistakes in the design itself.