analysis of water injection into high-temperature mixture of ...

16is NThe fourth equation is the simple identity that the sum of all the mole fractions11= ∑ vii=1, by definition it must be unity (1), and then it can write water injectioninto Eq.3-32 as given below,11∑ y 1 0i 1 i−εφX=W− =Eq.3-37The expression for atom balance of each equation can be eliminated by dividingEq.3-34 by Eq.3-33. The equation can be written as next equation.β + 2X W2 6 7 9 1 52y + 2 y + y + y − ( y + y ) = 0Eq.3-38αLikewise the Eq.3-35 and Eq.3-36, the equation can be written as0.42 12y + 1y + 22 y + 4y + 5y + 8y + 9y − 10[( γ + X + ) ( y1 y5)] 0εφ α− = Eq.3-391.58 12 y + 2y + 10y − 11[( δ + ) ( y1 y5εφ α+ )] = 0 Eq.3-40Equations of constant value for a simple studied can be defined as,β + 2XWγ + XW0.42 δ 1.58d1 = ; d2 = + ; d3= +α α εφα α εφαThe above 4 equations (Eq.3-37 through Eq.3-40) have 11 unknowns, thereforeother 7 equations are required. The 7 equations to be used are the equilibrium constantequations for combustion of ideal gas. So, the model is given by Michael [15] asbelow,1CO2 CO+ OEq.3-41221H+2O2 HO2Eq.3-4221 1H+2O2 OHEq.3-432 21H22 H Eq.3-441O22 O Eq.3-45