Abstract: A rotary kiln, in particular, a kiln for reburning of lime mud, wherein the drying and intermediate zones of the kiln chamber are furnished in part with turbulence-forming baffle arrangements to produce a turbulent motion in the hot combustion gases and thereby to force the hotter gases, which flow through the axial central region of the kiln, out towards the kiln wall. The kiln shell is additionally furnished in part with thresholds in order to increase the transit time of the material through the kiln and further with lifters and a cog-wheel lining in order to lift the material and bring it into contact with the gases. The burner tube can be furnished with turbulence-forming baffles and the surrounding kiln shell with lifters and with thresholds at both ends of the burner tube. The baffles are preferably conical in cross-section with the apices coincident with the center of the cross-section of the kiln.