Hi,
I read from your notes your cylinder to have 160mm diameter and be 100mm long, with about 17L volume??? This is a fairly 'normal' size to operate for a 'normal' pneumatic solenoid valve. Anyway the logic is the same, disregarding size of sylinder:
1. Mounting of series or limited (batch- some few) cylinders?
2. Flange available for solenoid mounting on sylinder? Rack mounting/single mounting?
3. With answers from 1 and 2 check commercial available types for your solution based on available current types and control solutions.
4. One solenoid or two solenoids for the 5/2 valves (see you have drawn 2)
5. If 17L volume nominal size would normally be 1/8" inch bore, or 1/4" inch bore, check commercial available types/brands.
Answer to your question:
6. The nominal bore of a solenoid valve (say 1/8") is not directly related to inner boring/restrictions and capacity, and can vary vastly from type to type, and brand to brand. All available commercial solutions will likely have a capacity far above both calculations. The most common trap of dimensioning operting valves for cylinders is to select valves with too low capacity. Necessary loosening force for thr cylinder can vary over time with wear, impurities or longer stops. Air silencers on return ports will also in some degree give resistance. In addition valves with larger openings is less given to give problems with impurities.
Advice:
7. Select oversized valves, regulate and calibrate speed by throtteling valves. Note: best on air return ports. Warning: some valves can 'stall' (stop in mid movement) if there is not sufficient pressure difference between in port and opposite side of cylinder. Alternative: throttling of inline.