Distributed Chemical Reaction Systems

Abstract

A distributed chemical reaction system occupying a region V with a bounding surface S is completely characterized by the state variables u(r) = (c_l(r),..., c _N (r), T(r)) and the mean velocity v(r) given at each point r∈V. Diffusive fluxes of chemical species and thermal energy exist at each point of the system due to gradients in the concentrations and the temperature. These gradients are maintained by means of the chemical reactions, acting as sources or sinks of chemical species and thermal energy. System and surroundings exchange chemical species and thermal energy through the bounding surface S.