On chemical reactions in internal flow systems

The basic equations for a non-isothermal homogeneous reaction in an internal flow system with a fully established velocity field are presented. It is shown that the specie concentrations can be found from a single function, i.e. the degree of advancement of the reaction, while the temperature is determined through a generalized enthalpy function which takes into account the thermal exchange with the exterior. Under mildly non-isothermal conditions, to which the analysis applies primarily, the determination of the two basic functions reduces to the solution of two linear parabolic equations and their associated Sturm-Liouville systems. An illustration of the analysis is given and a number of extensions are indicated.