A novel design for desiccant air dryer pneumatic mufflers includes a core comprising a perforated inner tube with baffles attached to the outside surface of the inner tube. The inner tube is positioned in the interior of an outer tube, and a cap is positioned on one end of both tubes. The interior portion of the cap is solid so that it blocks the flow of air at the end of the inner tube, forcing the air to flow through the perforations in the inner tube and into the outer tube. The perimeter of the cap is perforated so that the air exits the muffler.