Iterative Methods for the Solution of a Steady State Biofilter Model

A Master of Science thesis in Chemical Engineering by Mubarak Sahal Salih entitled, "Iterative Methods for the Solution of a Steady State Biofilter Model," submitted in November 2017. Thesis advisor is Dr. Zarook M. Shareefdeen. Soft and hard copy available.

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Main Author: Salih, Mubarak Sahal (author)
Format: doctoralThesis
Published: 2017
Subjects:
Online Access:http://hdl.handle.net/11073/9147
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author Salih, Mubarak Sahal
author_facet Salih, Mubarak Sahal
author_role author
dc.contributor.none.fl_str_mv Shareefdeen, Zarook
dc.creator.none.fl_str_mv Salih, Mubarak Sahal
dc.date.none.fl_str_mv 2017-12-28T07:53:49Z
2017-12-28T07:53:49Z
2017-11
dc.format.none.fl_str_mv application/pdf
dc.identifier.none.fl_str_mv 35.232-2017.35
http://hdl.handle.net/11073/9147
dc.language.none.fl_str_mv en_US
dc.subject.none.fl_str_mv Air pollution control
biofiltration
methanol
alpha-pinene
mathematical modeling
sensitivity analysis
Adomian decomposition method
Green's function fixed point iteration
Air
Purification
Bioremediation
Air filters
Mathematical models
dc.title.none.fl_str_mv Iterative Methods for the Solution of a Steady State Biofilter Model
dc.type.none.fl_str_mv info:eu-repo/semantics/publishedVersion
info:eu-repo/semantics/doctoralThesis
description A Master of Science thesis in Chemical Engineering by Mubarak Sahal Salih entitled, "Iterative Methods for the Solution of a Steady State Biofilter Model," submitted in November 2017. Thesis advisor is Dr. Zarook M. Shareefdeen. Soft and hard copy available.
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identifier_str_mv 35.232-2017.35
language_invalid_str_mv en_US
network_acronym_str aus
network_name_str aus
oai_identifier_str oai:repository.aus.edu:11073/9147
publishDate 2017
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repository.name.fl_str_mv
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spelling Iterative Methods for the Solution of a Steady State Biofilter ModelSalih, Mubarak SahalAir pollution controlbiofiltrationmethanolalpha-pinenemathematical modelingsensitivity analysisAdomian decomposition methodGreen's function fixed point iterationAirPurificationBioremediationAir filtersMathematical modelsA Master of Science thesis in Chemical Engineering by Mubarak Sahal Salih entitled, "Iterative Methods for the Solution of a Steady State Biofilter Model," submitted in November 2017. Thesis advisor is Dr. Zarook M. Shareefdeen. Soft and hard copy available.Biofilter modeling helps in understanding the biofiltration process and designing of full-scale biofilters. The biofilter models with complex kinetics do not have analytical solutions and numerical algorithms are typically employed to obtain approximate solutions. Therefore, the primary objective of this work is to utilize two iterative schemes known as the Adomian decomposition method and the Green’s function fixed point iteration method. The proposed iterative schemes were used to find approximate solutions for a biofilter model proposed by Mohseni and Allen with methanol and alpha-pinene being the objective pollutants. The proposed schemes were applied to reproduce the concentration profiles of methanol and alpha-pinene along the biofilter column. The numerical results were compared against experimental data obtained from literature and the original model solutions. For the biofiltration of methanol, both methods were able to provide accurate predictions. As for the biofiltration of alpha-pinene, the Adomian decomposition method was not able to describe the biodegradation of alpha-pinene in the biofilter where the solution deteriorated as we moved away from the entrance region. Unlike the Adomian decomposition method, the Green’s function fixed point iteration method showed excellent prediction of alpha-pinene removal along the biofilter height. Moreover, the performance of the biofilter was tested at various conditions by determining the impact of several parameters on the biofiltration process. The simulation showed that a maximum methanol elimination capacity of 285.15 g.m-3 h-1 was achieved at an inlet loading of 300 g.m-3 h-1. Based on the sensitivity analysis study, it was observed that a complete removal of methanol in the biofilter was accomplished at 50 seconds empty bed residence time, 63 m2.m-3 biofilm surface area, 6.00 10-6 m2.h-1 diffusion coefficient and 0.01 air-biofilm partition coefficient, respectively. In conclusion, the comparison of the results demonstrated higher potential for application of the Green’s function fixed point iteration method over the Adomian decomposition method in solving biofilter models and understanding of the biofiltration process.College of EngineeringDepartment of Chemical EngineeringMaster of Science in Chemical Engineering (MSChE)Shareefdeen, Zarook2017-12-28T07:53:49Z2017-12-28T07:53:49Z2017-11info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/doctoralThesisapplication/pdf35.232-2017.35http://hdl.handle.net/11073/9147en_USoai:repository.aus.edu:11073/91472025-06-26T12:33:07Z
spellingShingle Iterative Methods for the Solution of a Steady State Biofilter Model
Salih, Mubarak Sahal
Air pollution control
biofiltration
methanol
alpha-pinene
mathematical modeling
sensitivity analysis
Adomian decomposition method
Green's function fixed point iteration
Air
Purification
Bioremediation
Air filters
Mathematical models
status_str publishedVersion
title Iterative Methods for the Solution of a Steady State Biofilter Model
title_full Iterative Methods for the Solution of a Steady State Biofilter Model
title_fullStr Iterative Methods for the Solution of a Steady State Biofilter Model
title_full_unstemmed Iterative Methods for the Solution of a Steady State Biofilter Model
title_short Iterative Methods for the Solution of a Steady State Biofilter Model
title_sort Iterative Methods for the Solution of a Steady State Biofilter Model
topic Air pollution control
biofiltration
methanol
alpha-pinene
mathematical modeling
sensitivity analysis
Adomian decomposition method
Green's function fixed point iteration
Air
Purification
Bioremediation
Air filters
Mathematical models
url http://hdl.handle.net/11073/9147