Exact solution of a nonlinear boundary value problem of the theory of chemical reactors (Q762114)

An exact solution is obtained for a nonlinear boundary value model problem of stationary concentration distribution in a one-dimensional tubular isothermal chemical reactor with longitudinal stirring, in which a single chemical reaction takes place. It is show that depending on the values of the problem parameters there are either no stationary modes, a single or two different stationary modes. Regular and singular perturbation methods are used to construct the asymptotic solutions of the problem, and the latter are compared with the exact solutions.