Nonlinear partial differential equations model related to ethanol production
The study presents a mathematical model of an ethanol production system via fermentation. This model was extended from the established model to examine mass transfer and the inhibition effects on microbial such as yeasts or bacteria, sugar as its substrate and ethanol for the product. In this study,...
| Main Authors: | , |
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| Format: | Conference or Workshop Item |
| Language: | English |
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IOP Publishing
2019
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| Subjects: | |
| Online Access: | http://umpir.ump.edu.my/id/eprint/28692/13/Nonlinear%20partial%20differential%20equations%20model.pdf |
| _version_ | 1825813399707058176 |
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| author | Ahmad Izul Fakhruddin, Azimi Norazaliza, Mohd Jamil |
| author_facet | Ahmad Izul Fakhruddin, Azimi Norazaliza, Mohd Jamil |
| author_sort | Ahmad Izul Fakhruddin, Azimi |
| collection | UMP |
| description | The study presents a mathematical model of an ethanol production system via fermentation. This model was extended from the established model to examine mass transfer and the inhibition effects on microbial such as yeasts or bacteria, sugar as its substrate and ethanol for the product. In this study, two types of laboratory-scale fermentation are considered, i.e. shaker fermentation and shaker-free fermentation. This led to studying the coupled diffusionreaction and coupled diffusion-reaction-advection models from a previous mathematical model which describes mass transfer. A better understanding of those model able to predict the behaviour of mass transfer effect on fermentation scenarios. The effect of the diffusion coefficient and the advection coefficient are investigated to simulate the dynamical behaviour of the system. Since the model is nonlinear partial differential equations (PDEs), Gear's algorithm, a numerical method was employed to solve the system while the Nelder-Mead method is utilised to estimate the value of the parameters. The result shows that the diffusion does not have a huge impact on the whole ethanol production system but is contrary to advection. In order to affect the ethanol production system, only tiny advection value is needed, however, a big diffusion value is necessary to achieve the same effect. |
| first_indexed | 2024-03-06T12:43:27Z |
| format | Conference or Workshop Item |
| id | UMPir28692 |
| institution | Universiti Malaysia Pahang |
| language | English |
| last_indexed | 2024-03-06T12:43:27Z |
| publishDate | 2019 |
| publisher | IOP Publishing |
| record_format | dspace |
| spelling | UMPir286922021-01-18T07:06:33Z http://umpir.ump.edu.my/id/eprint/28692/ Nonlinear partial differential equations model related to ethanol production Ahmad Izul Fakhruddin, Azimi Norazaliza, Mohd Jamil QA Mathematics The study presents a mathematical model of an ethanol production system via fermentation. This model was extended from the established model to examine mass transfer and the inhibition effects on microbial such as yeasts or bacteria, sugar as its substrate and ethanol for the product. In this study, two types of laboratory-scale fermentation are considered, i.e. shaker fermentation and shaker-free fermentation. This led to studying the coupled diffusionreaction and coupled diffusion-reaction-advection models from a previous mathematical model which describes mass transfer. A better understanding of those model able to predict the behaviour of mass transfer effect on fermentation scenarios. The effect of the diffusion coefficient and the advection coefficient are investigated to simulate the dynamical behaviour of the system. Since the model is nonlinear partial differential equations (PDEs), Gear's algorithm, a numerical method was employed to solve the system while the Nelder-Mead method is utilised to estimate the value of the parameters. The result shows that the diffusion does not have a huge impact on the whole ethanol production system but is contrary to advection. In order to affect the ethanol production system, only tiny advection value is needed, however, a big diffusion value is necessary to achieve the same effect. IOP Publishing 2019-10 Conference or Workshop Item PeerReviewed pdf en cc_by http://umpir.ump.edu.my/id/eprint/28692/13/Nonlinear%20partial%20differential%20equations%20model.pdf Ahmad Izul Fakhruddin, Azimi and Norazaliza, Mohd Jamil (2019) Nonlinear partial differential equations model related to ethanol production. In: Journal of Physics: Conference Series, 2nd International Conference on Applied & Industrial Mathematics and Statistics (ICoAIMS 2019) , 23-25 July 2019 , Kuantan, Pahang, Malaysia. pp. 1-12., 1336 (012051). ISSN 1742-6588 (Published) https://doi.org/10.1088/1742-6596/1366/1/012051 |
| spellingShingle | QA Mathematics Ahmad Izul Fakhruddin, Azimi Norazaliza, Mohd Jamil Nonlinear partial differential equations model related to ethanol production |
| title | Nonlinear partial differential equations model related to ethanol production |
| title_full | Nonlinear partial differential equations model related to ethanol production |
| title_fullStr | Nonlinear partial differential equations model related to ethanol production |
| title_full_unstemmed | Nonlinear partial differential equations model related to ethanol production |
| title_short | Nonlinear partial differential equations model related to ethanol production |
| title_sort | nonlinear partial differential equations model related to ethanol production |
| topic | QA Mathematics |
| url | http://umpir.ump.edu.my/id/eprint/28692/13/Nonlinear%20partial%20differential%20equations%20model.pdf |
| work_keys_str_mv | AT ahmadizulfakhruddinazimi nonlinearpartialdifferentialequationsmodelrelatedtoethanolproduction AT norazalizamohdjamil nonlinearpartialdifferentialequationsmodelrelatedtoethanolproduction |