Superior heat transfer in a kiln is achieved by the use of at least one injector which injects both an oxidant, preferably containing oxygen, and a secondary fuel into the kiln. The injectors are provided so that the energy resulting from the combustion of the different fuels in the kiln heats specified regions of the kiln, without causing hot spots on the refractory walls. A firing scheme is described for the oxygen and fuels which allows an increase in the amount of heat released toward the load, resulting in significant increases in kiln efficiency and production. Low quality fuels may be used, as well as using and/or recycling more insufflated dust, without an adverse effect on the main flame.