Approximate analytical solution of non-linear reaction diffusion equation in fluidized bed biofilm reactor

• 作者: Lakshmanan Rajendran Seetharaman Usha Shanmugarajan Anitha
• 来源期刊: 自然科学期刊(英文)
• 学科: 数学
• 关键词: Fluidized BED BIOFILM Reactor NON-LINEAR Reaction Diffusion Equation PHENOL EFFECTIVENESS Factor Modified Adomian Decomposition Method
• 年，卷（期）: 2012,（12）
• 页码范围: 983-991
• 页数: 9页
• 分类号: O1

摘要

A mathematical model for the fluidized bed biofilm reactor (FBBR) is discussed. An approximate analytical solution of concentration of phenol is obtained using modified Adomian decomposition method (MADM). The main objective is to propose an analytical method of solution, which do not require small parameters and avoid linearization and physically unrealistic assumptions. Theoretical results obtained can be used to predict the biofilm density of a single bioparticle. Satisfactory agreement is obtained in the comparison of approximate analytical solution and numerical simulation.