Fundamental Analysis of continuous flow bioreactor models

Rubayyi Turki Alqahtani

M.Math (coursework) Project

Spring 2009

Abstract

This thesis describes the fundamental analysis of continuous flow bioreactor models governed by Contois kinetics. We analyse the steady-state treatment of industrial wastewaters in a continuous flow bioreactor with recycle and without recycle. The one reactor with recycle is described by a system of two non-linear ordinary differential equations. The steady-state solutions for this model are found and their stability determined as a function of the residence time. The performance of the reactor at large residence times is obtained. The main advantage of using a flow reactor with recycle for the treatment of industrial wastewaters is to improve the performance at low residence times.

The two reactors without recycle is described by a system of four non-linear ordinary differential equations. The steady state solutions for this model are found and their stability determined. The main results, is that the increasing of the number of reactors in the cascade lead to improvement the performance of cascade which has effect to reduce the wastewater leaving the cascade. Also, small increase in the total residence time lead to a large decrease in the effluent concentration as the total residence time slightly larger than washout point.

The two reactors with recycle also is described by a system of four non-linear ordinary differential equations. The steady-state solutions for this model are found and their stability determined for washout numerically. The main result of the three models is the two reactors with recycle is better than one reactor with recycle and two reactor without recycle for large total residence time. Though, we were not complete the analysis of last model, we use numerical method to find interesting results.


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Page Created: 2nd December 2009.
Last Updated: 2nd December 2009.