An apparatus for forming meltblown material from a molten polymer includes a die configured with channels in the tip of the die through which molten polymer is extruded for forming meltblown fibers. Air plates are disposed relative to the die tip to define air channels proximate to the die tip for directing attenuating air against the molten polymer fibers extruded from the tip. The air channels include a zone of convergence adjacent the apex of the die tip at an included angle that is within a range of about 10 degrees to about 20 degrees such that each of the air channels defines a convergence angle with respect to a longitudinal axis of the polymer channels of between about 5 degrees to about 10 degrees.