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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Main Author: Ishak, Muhamad Safwan
Format: Thesis
Language:English
Published: 2015
Subjects:
Online Access:http://eprints.utm.my/id/eprint/53924/25/MuhamadSafwanIshakMFS2015.pdf
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spelling my-utm-ep.539242020-10-08T04:11:50Z Fourier transform technique for analytical solution of diffusion equation of concentration spherical drops in rotating disc contactor column 2015-03 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 http://eprints.utm.my/id/eprint/53924/ http://eprints.utm.my/id/eprint/53924/25/MuhamadSafwanIshakMFS2015.pdf application/pdf en public http://dms.library.utm.my:8080/vital/access/manager/Repository/vital:85664 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
Ishak, Muhamad Safwan
Fourier transform technique for analytical solution of diffusion equation of concentration spherical drops in rotating disc contactor column
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.
format Thesis
qualification_level Master's degree
author Ishak, Muhamad Safwan
author_facet Ishak, Muhamad Safwan
author_sort Ishak, Muhamad Safwan
title 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_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_sort fourier transform technique for analytical solution of diffusion equation of concentration spherical drops in rotating disc contactor column
granting_institution Universiti Teknologi Malaysia, Faculty of Science
granting_department Faculty of Science
publishDate 2015
url http://eprints.utm.my/id/eprint/53924/25/MuhamadSafwanIshakMFS2015.pdf
_version_ 1747817658868301824