Direct drive compresors tend to the noisiest. Belt driven compressors are quieter because they run more slowly, and may well be be made from cast iron, rather than the alloy of the single cylinder direct drive types
Lubrication is usually just by splash.
.Clayton Dewandre, twin cylinder compressors, with separate liners came in two versions, one with a finned head for cooling, or a watercooled head (Not unknown to have a flash wall across the coolant passage! )
They usually ran at half engine speed, circa 1,000 – 1300 rpm The single cylinder version was usually air cooled with a finned head, and would run at engine speed.
Both types were lubricated from the engine main pressure lubrication system
An effective means of silencing intake noise is to have a large volume between the intake filter and the compressor.. In vehicle installations, the length of intake pipe probably served this function.
Low frequencies, such as induction noise have to be tuned out. Having the intake filter with a long pipe between it and the compressor will tend to reduce induction noise.
High frequency noise, such as hisses, can be absorbed by a "straight through" silencer. This only need a canister packed with glass fibre around the central perforated air feed pipe.
Diaphragm compressors tend be the quietest., since they have fewer moving mechanical parts, lack cooling fins which will radiate noise..
Howard