Abstract
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.
Highlights
There has been much interest in the development of biofilms
The results show that the rate of convergence of Modified Adomian decomposition method is higher than standard Adomian decomposition method [18,19,20,21,22]
We have developed a comprehensive analytical formalism to understand and predict the behavior of fluidized bed biofilm reactor
Summary
There has been much interest in the development of biofilms. Biofilms play significant roles in many natural and engineered systems. The mathematical model to describe the oxygen utilization for a TFBBR in wastewater treatment was developed by Choi [7], which was proposed to describe the oxygen concentration distribution. This model consisted of the biofilm model that described the oxygen uptake rate and the hydraulic model that presented characteristics of liquid and gas phase [8]. The fluidized bed reactor (FBB) is the reactor which carries on the mass transfer or heat transfer operation using the fluidization concept At first it was mainly used in the chemical synthesis and the petrochemistry industry. We employ analytical method to evaluate the phenol concentration and effectiveness factor for all possible values of parameters
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