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9.4.2 Non-Adiabatic Temperature Calculation

For the non-adiabatic premixed combustion model, ANSYS FLUENT solves an energy transport equation in order to account for any heat losses or gains within the system. The energy equation in terms of sensible enthalpy, $h$, for the fully premixed fuel (see Equation  5.2-3) is as follows:


 \frac{\partial}{\partial t}(\rho h) + \nabla \cdot (\rho {\v... ..._t}{c_p} \nabla h \right) + S_{h,{\rm chem}} + S_{h,{\rm rad}} (9.4-2)

$S_{h,{\rm rad}}$ represents the heat losses due to radiation and $S_{h,{\rm chem}}$ represents the heat gains due to chemical reaction:


 S_{h,{\rm chem}} = \rho S_c H_{\rm comb} Y_{\rm fuel} (9.4-3)


where      
  $S_c$ = normalized average rate of product formation (s $^{-1}$)
  $H_{\rm comb}$ = heat of combustion for burning 1 kg of fuel (J/kg)
  $Y_{\rm fuel}$ = fuel mass fraction of unburnt mixture


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