Solution of diffusion equation of total concentration in spherical shape drops using laplace transform

Liquid-liquid extraction is a separation technology that is based on the distribution of one or more components between two immiscible or almost immiscible liquids. The equipment that is used for the extraction is Rotating Disc Contactor (RDC) column. This research is concerned with solving analytic...

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Main Author:	Abu Bakar, Nurul Ain
Format:	Thesis
Language:	English
Published:	2015
Subjects:	QA Mathematics
Online Access:	http://eprints.utm.my/id/eprint/81465/1/NurulAinAbuMFS2015.pdf
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id	my-utm-ep.81465
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spelling	my-utm-ep.814652020-09-09T06:43:22Z Solution of diffusion equation of total concentration in spherical shape drops using laplace transform 2015 Abu Bakar, Nurul Ain QA Mathematics Liquid-liquid extraction is a separation technology that is based on the distribution of one or more components between two immiscible or almost immiscible liquids. The equipment that is used for the extraction is Rotating Disc Contactor (RDC) column. This research is concerned with solving analytically the diffusion equation of total concentration in spherical shape drops by using Laplace transform. Currently the drops move the counter in a RDC column. The total concentrations of all spherical shape drops were simulated by using Matlab software and Microsoft Office Excel. From the results, it shows that total concentration of spherical shape drops increases as time increases and the total concentration also increases as radius of drops increases. Whilst, the value of total concentration decreases when different values of diffusion constant were used. 2015 Thesis http://eprints.utm.my/id/eprint/81465/ http://eprints.utm.my/id/eprint/81465/1/NurulAinAbuMFS2015.pdf application/pdf en public http://dms.library.utm.my:8080/vital/access/manager/Repository/vital:121310 masters Universiti Teknologi Malaysia Mathematics
institution	Universiti Teknologi Malaysia
collection	UTM Institutional Repository
language	English
topic	QA Mathematics
spellingShingle	QA Mathematics Abu Bakar, Nurul Ain Solution of diffusion equation of total concentration in spherical shape drops using laplace transform
description	Liquid-liquid extraction is a separation technology that is based on the distribution of one or more components between two immiscible or almost immiscible liquids. The equipment that is used for the extraction is Rotating Disc Contactor (RDC) column. This research is concerned with solving analytically the diffusion equation of total concentration in spherical shape drops by using Laplace transform. Currently the drops move the counter in a RDC column. The total concentrations of all spherical shape drops were simulated by using Matlab software and Microsoft Office Excel. From the results, it shows that total concentration of spherical shape drops increases as time increases and the total concentration also increases as radius of drops increases. Whilst, the value of total concentration decreases when different values of diffusion constant were used.
format	Thesis
qualification_level	Master's degree
author	Abu Bakar, Nurul Ain
author_facet	Abu Bakar, Nurul Ain
author_sort	Abu Bakar, Nurul Ain
title	Solution of diffusion equation of total concentration in spherical shape drops using laplace transform
title_short	Solution of diffusion equation of total concentration in spherical shape drops using laplace transform
title_full	Solution of diffusion equation of total concentration in spherical shape drops using laplace transform
title_fullStr	Solution of diffusion equation of total concentration in spherical shape drops using laplace transform
title_full_unstemmed	Solution of diffusion equation of total concentration in spherical shape drops using laplace transform
title_sort	solution of diffusion equation of total concentration in spherical shape drops using laplace transform
granting_institution	Universiti Teknologi Malaysia
granting_department	Mathematics
publishDate	2015
url	http://eprints.utm.my/id/eprint/81465/1/NurulAinAbuMFS2015.pdf
_version_	1747818338472427520

Solution of diffusion equation of total concentration in spherical shape drops using laplace transform

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