In a portable compressed air equipment wherin heat compartment is being cooled by axial fan blowers does it help to exhaust the hot air using another axial fan / alternatively pushing the hot air out of cabinet using axial fan. Or using only using fan to cool the compressor head the cold / ambient air will cool the cabinet. Hot chamber temp are 50-60C and ambient air 28-34C.

Cold air falls and hot air rises BUT if you are using fans it will not make much of a difference since the fan will blow the air where ever you want it to.