OCR Text |
Show Eq.2 For the species balance the net amount of mass of species entering the PSR, balanced with the rate of their destruction was considered. This gave the net change of species in the reactor. Vc P dCf/dt - Po Uo (ct - Co = Rrf with the Reaction rate, the rate of destruction of the fuel, written in terms of mass concentrations: Rrf = Vc:k° (pt(Mol-e<Mo,J-b(CO· (CoJb exp(-EIRT) Eq.3 Eq.4 Eq.5 and the reaction rate for the oxygen is related to the fuel reaction rate by the factor, la, Rox= x.Rc. These equations had an additional variable, mass flow rate, which is changing because temperature is changing, so a mass balance was used to eliminate any (pU) factors. This development then gave three first order autonomous equations with three variables, 9, Cr and Cox. N on-dimensionalization The equations were non-dimensionalized following the same definitions used in the Baker and Essenbigh paper. Temperature is non-dimensionalized twice, first by the factor RJE, because of the argument in the exponential. Then there is a division by the stoichiometic (the adiabatic flame temperature and room temperature) conditions which then limits 0 < 9 < 1. Eq.6 5 |