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Propane Combustion

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Propane Combustion

Introduction

 

This application calculates the adiabatic flame temperature of propane (C3H8) burned with 250% theoretical air, both initially at 298.15 K.

 

The combustion reaction is

C3H8 (g) + 12.5 O2 (g) + 47 N2 (g) →  3 CO2 (g) + 4 H2O (g) + 7.5 O2 (g) + 47 N2 (g)

 

The enthalpy of propane, oxygen, nitrogen, carbon dioxide, nitrogen and water are calculated with the empirical data in the ThermophysicalData:-Chemicals  package.

 

restart:
with(ThermophysicalData-Chemicals):

Parameters

 

Enthalpy polynomials

h_C3H8 := Property("Hmolar", "C3H8(g)", "temperature" = T):
h_N2   := Property("Hmolar", "N2(g)",   "temperature" = T):
h_O2   := Property("Hmolar", "O2(g)",   "temperature" = T):
h_H2O  := Property("Hmolar", "H2O(g)",  "temperature" = T):
h_CO2  := Property("Hmolar", "CO2(g)",  "temperature" = T):
h_H2O  := Property("Hmolar", "H2O(g)",  "temperature" = T):

 

Reference enthalpies

h_r_N2  := eval(h_N2,  T = 298);
h_r_O2  := eval(h_O2,  T = 298);
h_r_CO2 := eval(h_CO2, T = 298);
h_r_H2O := eval(h_H2O, T = 298);

-4.368643634

 

-4.406681653

 

-393515.5700

 

-241831.0383

(2.1)

 

Enthalpy of formation

h_f_C3H8 := Property("HeatOfFormation", "C3H8");
h_f_N2   := Property("HeatOfFormation", "N2");
h_f_O2   := Property("HeatOfFormation", "O2");
h_f_CO2  := Property("HeatOfFormation", "CO2");
h_f_H2O  := Property("HeatOfFormation", "H2O");

-104680.000

 

0.

 

0.

 

-393510.000

 

-241826.000

(2.2)

Heat Balance

 

Heat of reactants

H_reac :=   h_f_C3H8
          + 12.5 * (h_f_O2 + 3.76 * h_f_N2)

-104680.000

(3.1)

Heat of products

H_prod :=
   3   * (h_f_CO2 + h_CO2 - h_r_CO2)
 + 4   * (h_f_H2O + h_H2O - h_r_H2O)
 + 7.5 * (h_f_O2  + h_O2  - h_r_O2)
 + 47  * (h_f_N2  + h_N2  - h_r_N2):

 

Hence the flame temperature is

fsolve(H_reac = H_prod, T = 1000)

1302.591751

(3.2)

 

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