Approximate Analytical Solutions of Biofilm Reactor Problem in Applied Biotechnology

被引：12
作者：
Jeyabarathi, P. [1 ,2 ]
Kannan, M. [2 ]
Rajendran, L. [1 ]
机构：
[1] Acad Maritime Educ & Training AMET, Dept Math, Chennai, Tamil Nadu, India
[2] Bharathidasan Univ, Govt Arts Coll, Dept Math, Thiruchirappalli, India
来源：
THEORETICAL FOUNDATIONS OF CHEMICAL ENGINEERING | 2021年 / 55卷 / 05期
关键词：
mathematical modeling; numerical simulation; biofilm; Taylor series; modified Adomian decomposition method; ADOMIAN DECOMPOSITION METHOD; TAYLOR-SERIES METHOD; DIFFERENTIAL-EQUATIONS; SUBSTRATE CONSUMPTION; MODEL; LAW;
D O I：
10.1134/S0040579521050213
中图分类号：
TQ [化学工业];
学科分类号：
0817 ;
摘要：
Dueck's mathematical model of biofilm is discussed. This model is also generalized to cover all substratum types. This system is based on a nonlinear reaction-diffusion equation that includes a nonlinear term related to square law of microbial death rate. In this paper, the analytical expression of the substrate consumption and flux in a biofilm is obtained by solving the nonlinear differential equation using the Taylor series and the modified Adomian decomposition method. Comparing the results obtained with the numerical method and limiting case results shows the validity and usefulness of these techniques.
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收藏
页码：851 / 861
页数：11
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