A rotary lobe blower has two rotors turning in opposite directions inside a close-fitting casing, timed by a pair of gears so they never touch. As each lobe sweeps past the inlet it traps a pocket of air against the casing wall and carries it around to the discharge. Nothing is compressed inside the machine: the pocket arrives at the outlet at inlet pressure and is compressed when the higher-pressure discharge air rushes back into it. Engineers call this external compression, and it is why the blower delivers pressure only when the system resists it.
Because each revolution sweeps out the same volume, flow follows speed almost exactly and barely moves when pressure changes. That is the defining property of positive displacement, and the reason these blowers own the duties where system resistance varies: diffusers fouling in an aeration basin, a conveying line loading up with product, a vacuum truck hose choking on debris. A centrifugal blower would lose flow or surge; a positive displacement blower keeps delivering and the pressure rises to match.
The price of that constancy is heat and slip. Compressing the air at the discharge is less efficient than compressing it gradually, so a rotary lobe blower runs hotter per psi than a screw machine, and a small amount of air always leaks back through the running clearances, more as pressure rises. Both are handled in the design rather than avoided: rotor profiles, pre-inlet channels, clearances and speed ranges are chosen so the blower runs cool enough, quiet enough and tight enough for its rating. The idea itself dates to 1860, when the Roots brothers of Connersville, Indiana patented the two-lobe rotary blower, and their name still follows the machine.