Fourier transform technique for analytical solution of diffusion equation of concentration spherical drops in rotating disc contactor column
A Fourier transform technique has been utilized to obtain analytical solution of diffusion equation of concentration of spherical drops in the Rotating Disc Contactor (RDC) column. The result obtained by Fourier transforms technique is compared with the result that obtained using separation variable...
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Format: | Thesis |
Language: | English |
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2015
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Online Access: | http://eprints.utm.my/53924/25/MuhamadSafwanIshakMFS2015.pdf |
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author | Ishak, Muhamad Safwan |
author_facet | Ishak, Muhamad Safwan |
author_sort | Ishak, Muhamad Safwan |
collection | ePrints |
description | A Fourier transform technique has been utilized to obtain analytical solution of diffusion equation of concentration of spherical drops in the Rotating Disc Contactor (RDC) column. The result obtained by Fourier transforms technique is compared with the result that obtained using separation variables. This study shows that the concentrations of spherical shape drops obtained by using both methods are the same. We find that the time for the drops to attains equilibrium depend on the size of drops. The smaller size of drops cause quicker time for the drops to attains the equilibrium. |
first_indexed | 2024-03-05T19:34:22Z |
format | Thesis |
id | utm.eprints-53924 |
institution | Universiti Teknologi Malaysia - ePrints |
language | English |
last_indexed | 2024-03-05T19:34:22Z |
publishDate | 2015 |
record_format | dspace |
spelling | utm.eprints-539242020-10-08T04:11:50Z http://eprints.utm.my/53924/ Fourier transform technique for analytical solution of diffusion equation of concentration spherical drops in rotating disc contactor column Ishak, Muhamad Safwan QA Mathematics A Fourier transform technique has been utilized to obtain analytical solution of diffusion equation of concentration of spherical drops in the Rotating Disc Contactor (RDC) column. The result obtained by Fourier transforms technique is compared with the result that obtained using separation variables. This study shows that the concentrations of spherical shape drops obtained by using both methods are the same. We find that the time for the drops to attains equilibrium depend on the size of drops. The smaller size of drops cause quicker time for the drops to attains the equilibrium. 2015-03 Thesis NonPeerReviewed application/pdf en http://eprints.utm.my/53924/25/MuhamadSafwanIshakMFS2015.pdf Ishak, Muhamad Safwan (2015) Fourier transform technique for analytical solution of diffusion equation of concentration spherical drops in rotating disc contactor column. Masters thesis, Universiti Teknologi Malaysia, Faculty of Science. http://dms.library.utm.my:8080/vital/access/manager/Repository/vital:85664 |
spellingShingle | QA Mathematics Ishak, Muhamad Safwan Fourier transform technique for analytical solution of diffusion equation of concentration spherical drops in rotating disc contactor column |
title | Fourier transform technique for analytical solution of diffusion equation of concentration spherical drops in rotating disc contactor column |
title_full | Fourier transform technique for analytical solution of diffusion equation of concentration spherical drops in rotating disc contactor column |
title_fullStr | Fourier transform technique for analytical solution of diffusion equation of concentration spherical drops in rotating disc contactor column |
title_full_unstemmed | Fourier transform technique for analytical solution of diffusion equation of concentration spherical drops in rotating disc contactor column |
title_short | Fourier transform technique for analytical solution of diffusion equation of concentration spherical drops in rotating disc contactor column |
title_sort | fourier transform technique for analytical solution of diffusion equation of concentration spherical drops in rotating disc contactor column |
topic | QA Mathematics |
url | http://eprints.utm.my/53924/25/MuhamadSafwanIshakMFS2015.pdf |
work_keys_str_mv | AT ishakmuhamadsafwan fouriertransformtechniqueforanalyticalsolutionofdiffusionequationofconcentrationsphericaldropsinrotatingdisccontactorcolumn |