TY - JOUR

T1 - Integral method of analysis for chemical reaction in a nonisothermal finite cylindrical catalyst pellet-I. Dirichlet problem

AU - Mukkavilli, Suryanaryana

AU - Tavlarides, Lawrence L.

AU - Wittmann, Charles V.

N1 - Funding Information:
Acknowledgments-Thr general support and the assistantship (S.M.) provided by the Department of Chemical Engineering of Illinois Institute of Technology through Dr. D. T. Wasan and the Department of ChemicaI Engineering and Materials Science of Syracuse University are gratefully acknowledged.
Copyright:
Copyright 2014 Elsevier B.V., All rights reserved.

PY - 1987

Y1 - 1987

N2 - 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.

AB - 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.

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U2 - 10.1016/0009-2509(87)80206-3

DO - 10.1016/0009-2509(87)80206-3

M3 - Article

AN - SCOPUS:0023104473

VL - 42

SP - 27

EP - 33

JO - Chemical Engineering Science

JF - Chemical Engineering Science

SN - 0009-2509

IS - 1

ER -