Integral method of analysis for chemical reaction in a nonisothermal finite cylindrical catalyst pellet-I. Dirichlet problem

Suryanaryana Mukkavilli, Lawrence L. Tavlarides, Charles V. Wittmann

Research output: Contribution to journalArticle

14 Scopus citations


An integral equation method is developed to solve the problem of diffusion and reaction in a porous nonisothermal finite cylindrical pellet in the absence of external transport resistances. Green's function method is applied to transform the partial differential equation for concentration into a Fredholm integral equation. A modified Green's function method is developed to accelerate the convergence of the partial eigen series by an order of two while exploiting the symmetry properties of the classical Green's function formulation. The resulting integral equation is solved by a Newton-Kantorovich iteration scheme to obtain effectiveness factors for various nonlinear reaction rate forms.

Original languageEnglish (US)
Pages (from-to)27-33
Number of pages7
JournalChemical Engineering Science
Issue number1
StatePublished - 1987


ASJC Scopus subject areas

  • Chemistry(all)
  • Chemical Engineering(all)
  • Industrial and Manufacturing Engineering

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