## 16.2.4 Calculation of Temperature

The calculation method for temperature will depend on whether the model is adiabatic or non-adiabatic.

For the adiabatic premixed combustion model, the temperature is assumed to vary linearly between the temperature of the unburnt mixture, , and the temperature of the burnt products under adiabatic conditions, :

 (16.2-21)

For the non-adiabatic premixed combustion model, FLUENT solves an energy transport equation in order to account for any heat losses or gains within the system. These losses/gains may include heat sources due to chemical reaction or, for example, heat losses due to radiation. The energy equation in terms of sensible enthalpy, , for the fully premixed fuel (see Equation  13.2-3) is as follows:

 (16.2-22)

represents the heat losses due to radiation and represents the heat gains due to chemical reaction:

 (16.2-23)

 where = normalized average rate of product formation (s ) = heat of combustion for burning 1 kg of fuel (J/kg) = fuel mass fraction of unburnt mixture

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