Numerical Resolution of the Advection-Diffusion Equation with Non-Linear Adsorption Isotherm

被引:0
|
作者
Stinguel, L. [1 ]
Guirardello, R. [1 ]
机构
[1] Univ Estadual Campinas, Sch Chem Engn, Ave Albert Einstein 500, Campinas, SP, Brazil
关键词
Advection-Diffusion Equation; Adsorption; Langmuir Isotherm; Fixed Bed; Break-through Curve;
D O I
10.1063/1.5044109
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
This work presents two numerical approaches for solving a nonlinear partial differential equation that is used to model an adsorption column. The approaches are compared, and the influence of the size of the time and the length intervals are analyzed, in order to verify how they affect the numerical solution and the accuracy of the results. These results are compared with respect the breakthrough time, since an incorrect evaluation of this value leads to an incorrect mass balance in the fixed bed column.
引用
收藏
页数:4
相关论文
共 50 条
  • [41] DOMAIN DECOMPOSITION METHOD FOR THE ADVECTION-DIFFUSION EQUATION
    CHARTON, P
    NATAF, F
    ROGIER, F
    COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1991, 313 (09): : 623 - 626
  • [42] A NOTE ON FINITE DIFFERENCING OF THE ADVECTION-DIFFUSION EQUATION
    CLANCY, RM
    MONTHLY WEATHER REVIEW, 1981, 109 (08) : 1807 - 1809
  • [43] A Meshfree Method for the Fractional Advection-Diffusion Equation
    Lian, Yanping
    Wagner, Gregory J.
    Liu, Wing Kam
    MESHFREE METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS VIII, 2017, 115 : 53 - 66
  • [44] A bound on mixing efficiency for the advection-diffusion equation
    Thiffeault, JL
    Doering, CR
    Gibbon, JD
    JOURNAL OF FLUID MECHANICS, 2004, 521 : 105 - 114
  • [45] Exploring the advection-diffusion equation through the subdivision collocation method: a numerical study
    Safia Malik
    Syeda Tehmina Ejaz
    Ali Akgül
    Murad Khan Hassani
    Scientific Reports, 14
  • [46] THE DIRICHLET PROBLEM OF A CONFORMABLE ADVECTION-DIFFUSION EQUATION
    Avci, Derya aeae
    Eroglu, Beyza Billur Iskender
    Ozdemir, Necati
    THERMAL SCIENCE, 2017, 21 (01): : 9 - 18
  • [47] ASYMPTOTIC SOLUTION OF A NONLINEAR ADVECTION-DIFFUSION EQUATION
    De Loubens, R.
    Ramakrishnan, T. S.
    QUARTERLY OF APPLIED MATHEMATICS, 2011, 69 (02) : 389 - 401
  • [48] Numerical solution of advection-diffusion type equation by modified error correction scheme
    Bak, Soyoon
    Kim, Philsu
    Piao, Xiangfan
    Bu, Sunyoung
    ADVANCES IN DIFFERENCE EQUATIONS, 2018,
  • [49] The numerical solution of the one-dimensional advection-diffusion equation in layered coordinates
    Dewar, WK
    McDougall, TJ
    MONTHLY WEATHER REVIEW, 2000, 128 (07) : 2575 - 2587
  • [50] Numerical solutions of space-fractional advection-diffusion equation with a source term
    Jannelli, Alessandra
    Ruggieri, Marianna
    Speciale, Maria Paola
    INTERNATIONAL CONFERENCE ON NUMERICAL ANALYSIS AND APPLIED MATHEMATICS (ICNAAM-2018), 2019, 2116