Application of similarity solution on gaseous pollutant problems
This study concentrates on dispersion of the gaseous pollutants. The diffusion equation is used to model the concentration from a various distance by the temperature invariants. This study features the group-theoretical method form the similarity techniques. This method is applicable and appropriate...
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| Format: | Thesis |
| Language: | English |
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2015
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| Online Access: | http://eprints.utm.my/53855/25/NgSinYiMFS2015.pdf |
| _version_ | 1796859906692743168 |
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| author | Ng, Sin Yi |
| author_facet | Ng, Sin Yi |
| author_sort | Ng, Sin Yi |
| collection | ePrints |
| description | This study concentrates on dispersion of the gaseous pollutants. The diffusion equation is used to model the concentration from a various distance by the temperature invariants. This study features the group-theoretical method form the similarity techniques. This method is applicable and appropriate to nonlinear partial differential equations. From the similarity solutions, a one-parameter group of transformation provides the equation to be conformally invariance. By introducing of similarity variables, the nonlinear partial differential equation can be reduced to a second order differential equation. Applying boundary conditions and assuming the arbitrary constant for some unknowns, a particular solution of the diffusion equation is obtained. The result is shown for two cases where no pollutant is absorbed by the ground and where all pollutants are absorbed by the ground. |
| first_indexed | 2024-03-05T19:34:10Z |
| format | Thesis |
| id | utm.eprints-53855 |
| institution | Universiti Teknologi Malaysia - ePrints |
| language | English |
| last_indexed | 2024-03-05T19:34:10Z |
| publishDate | 2015 |
| record_format | dspace |
| spelling | utm.eprints-538552020-09-08T08:01:42Z http://eprints.utm.my/53855/ Application of similarity solution on gaseous pollutant problems Ng, Sin Yi QA Mathematics This study concentrates on dispersion of the gaseous pollutants. The diffusion equation is used to model the concentration from a various distance by the temperature invariants. This study features the group-theoretical method form the similarity techniques. This method is applicable and appropriate to nonlinear partial differential equations. From the similarity solutions, a one-parameter group of transformation provides the equation to be conformally invariance. By introducing of similarity variables, the nonlinear partial differential equation can be reduced to a second order differential equation. Applying boundary conditions and assuming the arbitrary constant for some unknowns, a particular solution of the diffusion equation is obtained. The result is shown for two cases where no pollutant is absorbed by the ground and where all pollutants are absorbed by the ground. 2015-02 Thesis NonPeerReviewed application/pdf en http://eprints.utm.my/53855/25/NgSinYiMFS2015.pdf Ng, Sin Yi (2015) Application of similarity solution on gaseous pollutant problems. Masters thesis, Universiti Teknologi Malaysia, Faculty of Science. http://dms.library.utm.my:8080/vital/access/manager/Repository/vital:85677 |
| spellingShingle | QA Mathematics Ng, Sin Yi Application of similarity solution on gaseous pollutant problems |
| title | Application of similarity solution on gaseous pollutant problems |
| title_full | Application of similarity solution on gaseous pollutant problems |
| title_fullStr | Application of similarity solution on gaseous pollutant problems |
| title_full_unstemmed | Application of similarity solution on gaseous pollutant problems |
| title_short | Application of similarity solution on gaseous pollutant problems |
| title_sort | application of similarity solution on gaseous pollutant problems |
| topic | QA Mathematics |
| url | http://eprints.utm.my/53855/25/NgSinYiMFS2015.pdf |
| work_keys_str_mv | AT ngsinyi applicationofsimilaritysolutionongaseouspollutantproblems |