A consist of two chambers: an adiabatic combustion chamber where the fuel is burned completely and adiabatically and a counter flow heat exchanger where heat is transferred
to a reversible heat engine. The mass flow rate of the working fluid of the heat engine is such that the working fluid is heated from T0 (the temperature of the environment) to Taf (the adiabatic flame temperature) while the combustion products are cooled from Taf to T0. Treating the combustion products as ideal gases with constant specific heats and assuming no change in their composition in the heat exchanger, show that the work output of this reversible heat engine is where C is a constant whose value depends on the composition of the product gases and their specific heats. Also, show that the effective flame temperature Te of this furnace is That is, the work output of the reversible engine would be the same if the furnace above is considered to be an isothermal furnace at a constant temperature Te.

Tan Tat To Fuel Air To Adiabatic combustion chamber Heat exchanger T. af To Surroundings To Taf To In(T/To)