Accession Number : AD0674458

Title :   A NONLINEAR SINGULAR PERTURBATION PROBLEM ARISING IN THE STUDY OF CHEMICAL FLOW REACTORS.

Descriptive Note : Technical summary rept.,

Corporate Author : WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s) : O'Malley,R. E. , Jr

Report Date : FEB 1968

Pagination or Media Count : 20

Abstract : The paper presents a method of obtaining the complete asymptotic solution of boundary value problems of the form epsilon y'' - b(x)y' - g(s,y) = 0; ey'(0) = y(0) - alpha; y'(1) = beta for x epsilon (0,1) where b(x) is strictly positive and for epsilon 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. (Author)

Descriptors :   (*CHEMICAL REACTIONS, *BOUNDARY VALUE PROBLEMS), CONCENTRATION(CHEMISTRY), CHEMICAL ENGINEERING, PERTURBATION THEORY, ASYMPTOTIC SERIES, FUNCTIONAL ANALYSIS, CONVERGENCE, THEOREMS

Subject Categories : Industrial Chemistry and Chemical Processing
      Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE