Nonequilibrium thermodynamics of laminar-combustion autowaves with arbitrary Lewis number

The thermodynamic properties of an active distributed kinetic system are considered, and the entropy balance equation for laminar-combustion autowaves is derived for arbitrary Lewis number. Qualitative and numerical analyses of the local and complete entropy production in a dynamic system with a three-dimensional phase space were performed. It is shown that the complete entropy production in the system is a functional of the autowave solution of the problem. Of the one-parameter family of mathematically equivalent solutions, a single physically meaningful solution corresponds to the minimum of the functional. A variational formulation of the problem is given, which is solved without using the method of zeroing the reaction rate at low temperatures. The results of computational experiments are compared with literature data.