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.
ASJC Scopus subject areas
- General Chemistry
- General Chemical Engineering
- Industrial and Manufacturing Engineering