New analytical solution for nonlinear adsorption and diffusion in a single particle

被引:9
|
作者
Gadre, SA [1 ]
Ritter, JA [1 ]
机构
[1] Univ S Carolina, Dept Chem Engn, Swearingen Engn Ctr, Columbia, SC 29208 USA
关键词
adsorption; diffusion; isothermal; linear driving force; mathematical modeling; parabolic profile approximation;
D O I
10.1016/S0009-2509(02)00008-8
中图分类号
TQ [化学工业];
学科分类号
0817 ;
摘要
A new analytical solution for the fractional uptake in a single particle was obtained that obviates the use of the assumption (Q) over bar = f((C) over bar) that has been used by others to make the mathematics more tractable, This new solution utilizes the summation of the gas and adsorbed phases approach to describe the simultaneous intraparticle gas and surface diffusion rates. The resulting uptake curves predicted from the new expression compare very well with those obtained from the exact numerical solution for a wide range of systems and conditions. Anexpression for the rate of accumulation of the adsorbed species was also derived that should find use in adsorption process modeling, as it accounts for both pore and surface diffusion in a simple formulation. Overall, this analysis reveals the validity of the above assumption even for systems that exhibit highly nonlinear adsorption isotherms; hence, it should be useful as a major simplification in other derivations dealing with nonlinear adsorption and diffusion. (C) 2002 Elsevier Science Ltd. All rights reserved.
引用
收藏
页码:1197 / 1204
页数:8
相关论文
共 50 条
  • [31] Extension to nonlinear adsorption isotherms of exact analytical solutions to mass diffusion problems
    Goujot, Daniel
    Vitrac, Olivier
    CHEMICAL ENGINEERING SCIENCE, 2013, 99 : 2 - 22
  • [32] Generalization and Evaluation of the Analytical Solution of Intraparticle Diffusion Models in Finite Batch Adsorption
    Miglioranza, Gabriel
    Schwaab, Marcio
    MACROMOLECULAR REACTION ENGINEERING, 2023, 17 (04)
  • [33] A New Analytical Solution for Single Particle Model Subject to Lithium-Ion Batteries, with Experimental Validation
    Hussain, Arif
    Li, Mei
    Ahmad, Moin
    Khan, Arif Ullah
    Xu, Wenting
    Liu, Lina
    Zhang, Jing
    Mao, Zhiyu
    Chen, Zhongwei
    JOURNAL OF THE ELECTROCHEMICAL SOCIETY, 2025, 172 (01)
  • [34] A Class of New Special Solution of Nonlinear Diffusion Equation
    Yan TANG
    ActaMathematicaeApplicataeSinica, 2016, 32 (02) : 437 - 446
  • [35] A Class of New Special Solution of Nonlinear Diffusion Equation
    Tang, Yan
    ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES, 2016, 32 (02): : 437 - 446
  • [36] A NEW SOLUTION FOR THE NONLINEAR DIFFUSION-CONVECTION EQUATION
    PISTINER, A
    SHAPIRO, M
    RUBIN, H
    SIAM JOURNAL ON APPLIED MATHEMATICS, 1991, 51 (06) : 1616 - 1621
  • [37] A class of new special solution of nonlinear diffusion equation
    Yan Tang
    Acta Mathematicae Applicatae Sinica, English Series, 2016, 32 : 437 - 446
  • [38] A NEW SIMPLIFIED MODEL FOR ADSORPTION IN A SINGLE-PARTICLE
    DO, DD
    MAYFIELD, PLJ
    AICHE JOURNAL, 1987, 33 (08) : 1397 - 1400
  • [39] Exact analytical solution of a nonlinear reaction-diffusion model in porous catalysts
    Magyari, Eugen
    CHEMICAL ENGINEERING JOURNAL, 2008, 143 (1-3) : 167 - 171
  • [40] A SIMPLE SOLUTION FOR NON-ISOTHERMAL ADSORPTION IN A SINGLE-PARTICLE
    BHASKAR, GV
    DO, DD
    CHEMICAL ENGINEERING SCIENCE, 1989, 44 (05) : 1215 - 1219