Premium
Simplified calculation procedure for carbon adsorption model
Author(s) -
Roy Dipak,
Wang GuangTe,
Adrian Donald Dean
Publication year - 1993
Publication title -
water environment research
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.356
H-Index - 73
eISSN - 1554-7531
pISSN - 1061-4303
DOI - 10.2175/wer.65.6.11
Subject(s) - adsorption , taylor series , laplace transform , algebraic equation , mathematics , nonlinear system , thermodynamics , orthogonal collocation , series (stratigraphy) , algebraic number , carbon fibers , series expansion , activated carbon , collocation (remote sensing) , mathematical analysis , chemistry , differential equation , collocation method , physics , algorithm , computer science , ordinary differential equation , paleontology , quantum mechanics , composite number , biology , machine learning
ABSTRACT:
The nonlinear equilibrium isotherm relationship for carbon adsorption has been linearized by expanding it using a Taylor series. The Taylor series expansion is truncated so that the resulting linear form can be substituted into the equation obtained by applying orthogonal collocation technique to the differential equation for adsorption process. Finally, a set of algebraic formulas was derived by using Laplace transform for calculating bulk liquid concentration and interface liquid concentration. The Taylor series replacement iterative procedure is recommended for calculating the true values of bulk liquid concentration. The results from the new approach were verified by comparison with those obtained from Runge‐Kutta integration using experimental data reported by other investigators. The proposed algebraic method is applicable for all types of batch adsorption experimental data without any restrictions.