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Main Title Comparison of Numerical Schemes for Solving a Spherical Particle Diffusion Equation.
Author Fong, F. K. ; Mulkey, L. A. ;
CORP Author Environmental Research Lab., Athens, GA.
Publisher c1990
Year Published 1990
Report Number EPA/600/J-90/106;
Stock Number PB90-264722
Additional Subjects Water quality ; Diffusion theory ; Sorption ; Water pollution ; Finite difference theory ; Finite element analysis ; Mathematical models ; Convergence ; Comparison ; Reprints ; Iterative methods ; Nonlinear analysis ; Suspensions ; Collocation
Library Call Number Additional Info Location Last
NTIS  PB90-264722 Some EPA libraries have a fiche copy filed under the call number shown. 07/26/2022
Collation 13p
A new robust iterative numerical scheme was developed for a nonlinear diffusive model that described sorption dynamics in spherical particle suspensions. The numerical scheme had been applied to finite difference and finite element models that showed rapid convergence and stability under wide ranges of partition coefficients. Comparisons were made with explicit finite difference and orthogonal collocation methods. The diffusive model assumes complete mixing in the bulk aqueous solution and considers intraaggregate transport within the suspended particles. The effect of particle size distribution of suspensions also was included in the model. Sorption was described using both linear and nonlinear isotherms.