The co-incineration of multisource organic solid waste has gradually become an important method for solid waste recycling. Through a combination of computational fluid dynamics simulation and field monitoring, a distributed parameter model of the evaporative heating surface of an incinerator was developed. The distributions of heat flux, wall temperature, and steam quality in the incinerator were analyzed under four combustion conditions involving solid waste from various sources, types, and proportions. The results revealed that under the two working conditions with 20% waste cloth, as the calorific value of the mixed fuel increased, both the peak heat flux and the peak wall temperature increased, and the nonuniformity of heat transfer within the furnace intensified. Under the influence of the composition and calorific value of the mixed fuel, the steam quality of the working fluid at the outlet of the rear water wall in the cases with 20% waste cloth was significantly higher than that in the case of pure municipal solid waste combustion and the case with 20% sludge. This study offers valuable insights into the resource utilization of multisource organic solid waste in co-incinerators.