How is the compressor cylinder diameter ratio calculated? Rate the responder
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Three-stage compression compresses air at 20 degrees from 98070 Pa to 6280000 Pa. Intercooling allows the air at each stage to be cooled back to 20 degrees before it proceeds to the next stage. The compression ratio is the same in all stages. Given that the piston stroke and number of reciprocations are identical in each stage, what is the diameter ratio of the cylinders in these stages?
With such limited data, my understanding is that the following assumptions are applied: 1. All processes occur under ideal conditions; 2. The production capacity of compressors at each stage is equal. Therefore, it can be concluded that changes in the pressure of an ideal gas are entirely due to changes in volume, i.e., pv = nrT = constant. Here, v can be considered as the area of the compressor, and given that the stroke length and the number of reciprocations are constant, this area is proportional to the square of the diameter. The pressure ratios for the three stages of gas are 1:4:16, so the area ratios are 16:4:1; therefore, the diameter ratios are 4:2:1. It’s just my personal opinion; feel free to correct me.
Reply to 2# kaminocmyhc: I think the same way; I’m not sure if it’s correct! :)