Mathmatical formulations of the basic diffusion equation: a discussion

A discussion is made on the possible forms of mathematical formulations for the basic diffusion equation. The formulations have been derived from the law of motion. It is shown that the assumption of Stokes resistance leads to paradoxical conclusions in some specific cases of diffusion processes. I...

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Asıl Yazarlar:	Islam, M.A., Buschatz, H.
Materyal Türü:	Makale
Dil:	English
Baskı/Yayın Bilgisi:	BRAC University 2010
Konular:	Diffusion Fick’s law Chemical potential Concentration gradient Diffusion coefficient
Online Erişim:	http://hdl.handle.net/10361/519

id	10361-519
record_format	dspace
spelling	10361-5192019-09-29T05:45:58Z Mathmatical formulations of the basic diffusion equation: a discussion Islam, M.A. Buschatz, H. Diffusion Fick’s law Chemical potential Concentration gradient Diffusion coefficient A discussion is made on the possible forms of mathematical formulations for the basic diffusion equation. The formulations have been derived from the law of motion. It is shown that the assumption of Stokes resistance leads to paradoxical conclusions in some specific cases of diffusion processes. It is argued that the expression for resistant forces in transport processes is empirical, and hence the form of the diffusion equation depends on the expression chosen in describing the resistant forces. Evidences are collected from literature in favor of both thermodynamic and Fickian formulation of the diffusion equation. It is concluded that ideal form of diffusion equation is absent, and the choice of the form of diffusion equation would depend on the specific circumstances being studied. 2010-10-14T10:02:52Z 2010-10-14T10:02:52Z 2004 Article http://hdl.handle.net/10361/519 en BRAC University Journal, BRAC University; application/pdf BRAC University
institution	Brac University
collection	Institutional Repository
language	English
topic	Diffusion Fick’s law Chemical potential Concentration gradient Diffusion coefficient
spellingShingle	Diffusion Fick’s law Chemical potential Concentration gradient Diffusion coefficient Islam, M.A. Buschatz, H. Mathmatical formulations of the basic diffusion equation: a discussion
description	A discussion is made on the possible forms of mathematical formulations for the basic diffusion equation. The formulations have been derived from the law of motion. It is shown that the assumption of Stokes resistance leads to paradoxical conclusions in some specific cases of diffusion processes. It is argued that the expression for resistant forces in transport processes is empirical, and hence the form of the diffusion equation depends on the expression chosen in describing the resistant forces. Evidences are collected from literature in favor of both thermodynamic and Fickian formulation of the diffusion equation. It is concluded that ideal form of diffusion equation is absent, and the choice of the form of diffusion equation would depend on the specific circumstances being studied.
format	Article
author	Islam, M.A. Buschatz, H.
author_facet	Islam, M.A. Buschatz, H.
author_sort	Islam, M.A.
title	Mathmatical formulations of the basic diffusion equation: a discussion
title_short	Mathmatical formulations of the basic diffusion equation: a discussion
title_full	Mathmatical formulations of the basic diffusion equation: a discussion
title_fullStr	Mathmatical formulations of the basic diffusion equation: a discussion
title_full_unstemmed	Mathmatical formulations of the basic diffusion equation: a discussion
title_sort	mathmatical formulations of the basic diffusion equation: a discussion
publisher	BRAC University
publishDate	2010
url	http://hdl.handle.net/10361/519
work_keys_str_mv	AT islamma mathmaticalformulationsofthebasicdiffusionequationadiscussion AT buschatzh mathmaticalformulationsofthebasicdiffusionequationadiscussion
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Mathmatical formulations of the basic diffusion equation: a discussion

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