10 hot ash and or slagging ash produced in the incinerator 12 flows by gravity through the outlet pipe 14 the expansion joint 16 and the conduit 18 into the housing 22 the housing 22 is oscillated as described above whereby the ash is continuously accumulated and conveyed therewithin and discharged therefrom in a manner such that air is prevented from backflowing to the incinerator 12 cooling air is circulated through the ducts formed in the housing 22 whereby the housing 22 is continuously cooled and as a result the ash accumulated and conveyed therewithin is also partially cooled the partially cooled ash discharged from the apparatus 20 is further cooled within the cooling chamber and conveyor 36 as described above referring now to fig2 4 the housing 22 of the accumulator and conveyor apparatus 20 is illustrated in detail the housing 22 includes a first closed compartment 40 into which the hot ash from the conduit 18 falls and accumulates the first compartment 40 includes a horizontal floor 42 upon which the hot ash is deposited and over which the ash is conveyed a second compartment 44 is provided within the housing 22 which is positioned adjacent the first compartment 40 and which includes a horizontal.