Quasi-gradient models of the dynamics of closed chemical systems

Quasi-gradient models of the dynamics of combustion processes in closed systems

“…In this work, we propose a new class of models of the dynamics of combustion processes in closed sys tems, namely, quasi gradient models, which were pre viously [9] proposed for isothermal systems. These models were obtained by the potential-flux method [10,11] based on the decomposition of a complex nonequilibrium system into simple subsystems uncou pled to other simple subsystems.…”

“…These models were obtained by the potential-flux method [10,11] based on the decomposition of a complex nonequilibrium system into simple subsystems uncou pled to other simple subsystems.…”

“…Closed chemically reactive well stirred systems, including combustion systems, can be decomposed into subsystems uncoupled to one another in each of which [11] (1) either there is only one (one or multistep) reaction, (2) or there are two or more reactions coupled to one another [12,13], (3) or it is unknown whether or not there are reac tions in this subsystem.…”

“…For each of the simple subsystems and also for the entire subsystem, the following balance equations for the numbers of moles of the reactants were obtained from the stoichiometry of steps [11]:…”

“…(3); is the num ber of degrees of freedom; and N is the number of the reactants in the system [11]. Then, we have…”