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

11perform the necessary calculations. The reference state is selected at 25 C for theprediction. The thermodynamics properties such as ( u ) is specific internal energy,( s)v)is specific entropy and ( is specific volume which are considered.Consider an ideal gas mixture containing N moles of the ithconstituent whichhas molecular weightiiMW of any component. Let the total number of moles in themixture be N and the mole faction of any given is yi= Ni/ N . The molecular weightof a mixture can be written is given by Turn [12] as,11MW = ∑ yMWi=1iiEq.3-11The specific internal energy can be written as, AAAAAAAAAAAAA11u= ∑ yiuii=1Eq.3-12Where u iis the specific internal energy of any component. An analogous relative tothe specific entropy of a mixture is also the sum of the entropies of each component,11s = ∑ ysEq.3-13i=1iiThe specific entropy of any component iss = s + R ln( P / P)Eq.3-140i i i i00Where s idepends only on temperature to be base state. So, the relations of thespecific entropy of a mixture can be written as,js R ln( P / P) y ( s R ln y )oi=−i i 0+ ∑ i i−i iEq.3-15i=1Where Riis the gas constant of any component. The specific volume of the mixture isgiven by the equation of state.RTv = Eq.3-16MW P( )It is necessary to estimate the rates of change of these properties with respect tochange in temperature and pressure.Thermodynamic data for the individual species of various ideal gases are foundby the algorithms given by Gordon and McBride [9] which are functional reductions