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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Main Author:	Ng, Sin Yi
Format:	Thesis
Language:	English
Published:	2015
Subjects:	QA Mathematics
Online Access:	http://eprints.utm.my/id/eprint/53855/25/NgSinYiMFS2015.pdf
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id	my-utm-ep.53855
record_format	uketd_dc
spelling	my-utm-ep.538552020-09-08T08:01:42Z Application of similarity solution on gaseous pollutant problems 2015-02 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 http://eprints.utm.my/id/eprint/53855/ http://eprints.utm.my/id/eprint/53855/25/NgSinYiMFS2015.pdf application/pdf en public http://dms.library.utm.my:8080/vital/access/manager/Repository/vital:85677 masters Universiti Teknologi Malaysia, Faculty of Science Faculty of Science
institution	Universiti Teknologi Malaysia
collection	UTM Institutional Repository
language	English
topic	QA Mathematics
spellingShingle	QA Mathematics Ng, Sin Yi Application of similarity solution on gaseous pollutant problems
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.
format	Thesis
qualification_level	Master's degree
author	Ng, Sin Yi
author_facet	Ng, Sin Yi
author_sort	Ng, Sin Yi
title	Application of similarity solution on gaseous pollutant problems
title_short	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_sort	application of similarity solution on gaseous pollutant problems
granting_institution	Universiti Teknologi Malaysia, Faculty of Science
granting_department	Faculty of Science
publishDate	2015
url	http://eprints.utm.my/id/eprint/53855/25/NgSinYiMFS2015.pdf
_version_	1747817642948820992

Application of similarity solution on gaseous pollutant problems

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