The disclosed methods and apparatus seek to effect heat transfer through the use of one or more conductive fin devices. In addition, the disclosed devices seek to reduce the discharge of pollutants from primary combustion processes using carbonaceous fuel sources by implementing secondary combustion features and other apparatus. With more effective heat capture and utilization, the disclosed heat exchange technologies provide methods and apparatus to reduce heat dissipation to atmosphere. The methods and apparatus have application in the areas of industrial incineration, power boilers, water heaters, residential and commercial solid fuel waste heat recovery appliances, and electric power generation. In addition, the technology could have application in the areas of solar systems, desalination systems, aircraft and vehicular engines, electric motors, turbines, oil pans on internal combustion engines, transmission cooling pans, cooling navigational and electronic systems, and computer cooling and power supply.