A Non-linear Singular Perturbation Problem Arising in the Study of Chemical Flow Reactors

This paper presents a method of obtaining the complete asymptotic solution of boundary value problems of the form $ɛy″-b(x)y'-g(x,y)=0ɛy'(0)=y(0)-αy'(1)=β}$ for x ε [0,1] where b(x) is strictly positive and for ε small and positive. Physically, the problem arises in determining the steady-state concentration of a substance in a chemical flow reactor. A “two-variable” expansion procedure is used.