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Diffusion of methylene blue in glass fibers - Application of the shrinking core model

Diffusion of mass in a solid cylinder with concentration dependent diffusivity (or temperature-dependent thermal conductivity in case of heat diffusion) does not admit of an analytical solution except in special cases. The 'shrinking core model' has been used to develop an approximate anal...

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Main Authors: B.K., Dutta, D., Sarkar, S., Chakrabarti
Format: Article
Published: 2009
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TP Chemical technology
Online Access:http://eprints.utp.edu.my/240/1/paper.pdf
http://www.scopus.com/inward/record.url?eid=2-s2.0-60249085726&partnerID=40&md5=3256bae726048729ddf1e0491777a324
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spelling my.utp.eprints.2402017-01-19T08:25:36Z Diffusion of methylene blue in glass fibers - Application of the shrinking core model B.K., Dutta D., Sarkar S., Chakrabarti TP Chemical technology Diffusion of mass in a solid cylinder with concentration dependent diffusivity (or temperature-dependent thermal conductivity in case of heat diffusion) does not admit of an analytical solution except in special cases. The 'shrinking core model' has been used to develop an approximate analytical solution in certain circumstances. The model, generally useful to describe heterogeneous solid-fluid reactions, is applied to theoretically analyze the adsorption-diffusion phenomena of methylene blue dye in a glass fiber in the present work. Theoretical equations have been derived for the case of diffusivity as an exponential function of concentration. The diffusivity parameters are evaluated by global minimization of the error between the experimental and the theoretical concentration history. Other forms of diffusivity, namely constant diffusivity and diffusivity varying linearly with concentration are found to involve larger errors. A parametric sensitivity analysis of the error has been done. The shrinking core model could satisfactorily interpret the experimental dye concentration profile in the substrate. © 2008 Elsevier Inc. All rights reserved. 2009 Article NonPeerReviewed application/pdf http://eprints.utp.edu.my/240/1/paper.pdf http://www.scopus.com/inward/record.url?eid=2-s2.0-60249085726&partnerID=40&md5=3256bae726048729ddf1e0491777a324 B.K., Dutta and D., Sarkar and S., Chakrabarti (2009) Diffusion of methylene blue in glass fibers - Application of the shrinking core model. Applied Mathematical Modelling, 33 (6). pp. 2874-2881. ISSN 0307904X http://eprints.utp.edu.my/240/
institution Universiti Teknologi Petronas
building UTP Resource Centre
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Teknologi Petronas
content_source UTP Institutional Repository
url_provider http://eprints.utp.edu.my/
topic TP Chemical technology
spellingShingle TP Chemical technology
B.K., Dutta
D., Sarkar
S., Chakrabarti
Diffusion of methylene blue in glass fibers - Application of the shrinking core model
description Diffusion of mass in a solid cylinder with concentration dependent diffusivity (or temperature-dependent thermal conductivity in case of heat diffusion) does not admit of an analytical solution except in special cases. The 'shrinking core model' has been used to develop an approximate analytical solution in certain circumstances. The model, generally useful to describe heterogeneous solid-fluid reactions, is applied to theoretically analyze the adsorption-diffusion phenomena of methylene blue dye in a glass fiber in the present work. Theoretical equations have been derived for the case of diffusivity as an exponential function of concentration. The diffusivity parameters are evaluated by global minimization of the error between the experimental and the theoretical concentration history. Other forms of diffusivity, namely constant diffusivity and diffusivity varying linearly with concentration are found to involve larger errors. A parametric sensitivity analysis of the error has been done. The shrinking core model could satisfactorily interpret the experimental dye concentration profile in the substrate. © 2008 Elsevier Inc. All rights reserved.
format Article
author B.K., Dutta
D., Sarkar
S., Chakrabarti
author_facet B.K., Dutta
D., Sarkar
S., Chakrabarti
author_sort B.K., Dutta
title Diffusion of methylene blue in glass fibers - Application of the shrinking core model
title_short Diffusion of methylene blue in glass fibers - Application of the shrinking core model
title_full Diffusion of methylene blue in glass fibers - Application of the shrinking core model
title_fullStr Diffusion of methylene blue in glass fibers - Application of the shrinking core model
title_full_unstemmed Diffusion of methylene blue in glass fibers - Application of the shrinking core model
title_sort diffusion of methylene blue in glass fibers - application of the shrinking core model
publishDate 2009
url http://eprints.utp.edu.my/240/1/paper.pdf
http://www.scopus.com/inward/record.url?eid=2-s2.0-60249085726&partnerID=40&md5=3256bae726048729ddf1e0491777a324
http://eprints.utp.edu.my/240/
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score 13.211869

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