Not correct. As you compress a gas, the volume becomes smaller. It may have been correct for 2 water pumps in series.BigBang J wrote:But this method would require 2 of the same compressors, right?
because if you have 2 different compressors and one doesn't pump quite as much as the other you would either starve the second compressor in the series, or you would over pressurize the second compressor in the series. Is this correct?
Two comressors in series often have at least a 8:1 displacement difference between stages for a high pressure use and about 4:1 for medium pressure.
For example, the first stage would compress 9X from 1 atm to 9 ATM and the second stage would then go 9X more from 9 atm to 81 ATM Note the smaller second stage has a huge load..
Here is a typical 2 stage compressor. The first stage is high volume. The second stage has a smaller piston and often a shorter stroke along with thicker cylinder walls to handle the pressure.

Medium pressure compressor. Delivers 200 PSIG.
Many shop compressors have a smaller ratio where the first stage only pumps to 4 or 5 bar and the second delivers below 300 PSI.
Stacking two identical compressors in series does not make a two stage compressor.








