Mathematical Modelling and Kinetics of Microchannel Reactor

Kirthiga Murali

doi:10.11648/j.acm.20160506.12

Abstract

The coupled nonlinear system of differential equations in 1-butanol dehydration under atmospheric and isothermal conditions are solved analytically for the microchannel reactor. Approximate analytical expressions of concentrations of 1-butanol, 1-butene, water and dibutyl ether are presented by using homotopy analysis method. The homotopy analysis method eliminated the classical perturbation method problem, because of the existence a small parameter in the equation. The analytical results are compared with the numerical solution and experimental results, satisfactory agreement is noted.

Highlights

1-Butanol, is one of the important future bio-compounds for bio-fuel and bio-chemical use. 1-Butanol was produced from renewable sources by Acetone–Butanol–Ethanol (ABE) fermentation process
To the best of our knowledge, there were no analytical results available till date that corresponds to the steady-state concentrations of 1- butanol, 1-butene, water, dibutyl ether for all possible values of the rate constants
We employ homotopy analysis method to evaluate the steady-state concentration of 1- butanol, 1butene, and water and dibutyl ether

Summary

Introduction

1-Butanol, is one of the important future bio-compounds for bio-fuel and bio-chemical use. 1-Butanol was produced from renewable sources by Acetone–Butanol–Ethanol (ABE) fermentation process. An added benefit of a layered pattern is the ability to scale up or down by adjusting the number of layers This provides great flexibility in the design if desired production capacity is changed, without the need to redesign the reactor (as it would be the case in a tubular reactor) [1]. In addition to kinetic studies, Spatenka et al [2] and Walter et al [3] developed a two dimensional dynamic model to simulate the coated microchannel reactor. Walter modelled the cylindrical channel in 2D considering axial convection, dispersion in axial and radial direction for gas-phase [3]. To the best of our knowledge, there were no analytical results available till date that corresponds to the steady-state concentrations of 1- butanol, 1-butene, water, dibutyl ether for all possible values of the rate constants. Kirthiga Murali et al.: Mathematical Modelling and Kinetics of Microchannel Reactor

Mathematical Formulation of the Problem

Analytical Expression of Concentrations Using Asymptotic Methods

Analytical Expression of Concentrations Using Homotopy Analysis Method

Discussion

Conclusions

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