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Determination of a diffusion coefficient in a membrane by electronic speckle pattern interferometry: a new method and a temperature sensitivity study

Marucci, Mariagrazia LU ; Pettersson, Sven-Göran LU ; Ragnarsson, Gert and Axelsson, Anders LU (2007) In Journal of Physics D: Applied Physics 40(9). p.2870-2880
Abstract
In this work, a method has been developed to easily determine the effective diffusion coefficient (D-e) of a solute in a permeable membrane using electronic speckle pattern interferometry. Fringes are introduced parallel to the direction of diffusion during the diffusion process and D-e can be calculated by simple measurements on the interference pattern. For a fast and convenient determination of D-e, a mathematical expression has been derived from the analytical solution of diffusion in two media separated by a resistance. The D-e obtained when fringes are introduced is in agreement with that obtained when fringes are not introduced. The effect of temperature variation on the optical path of the reference and the object beams has also... (More)
In this work, a method has been developed to easily determine the effective diffusion coefficient (D-e) of a solute in a permeable membrane using electronic speckle pattern interferometry. Fringes are introduced parallel to the direction of diffusion during the diffusion process and D-e can be calculated by simple measurements on the interference pattern. For a fast and convenient determination of D-e, a mathematical expression has been derived from the analytical solution of diffusion in two media separated by a resistance. The D-e obtained when fringes are introduced is in agreement with that obtained when fringes are not introduced. The effect of temperature variation on the optical path of the reference and the object beams has also been investigated. The error introduced into the calculation of D-e, when the temperature oscillation is not taken into account, has been compared for the case when fringes are not introduced during the diffusion experiment and the case when fringes are introduced. In the first case, the relative error can be greater than 100%. Interestingly, in the latter case, the error caused by temperature oscillation is considerably reduced, and no error is introduced if the temperature changes homogeneously over the whole diffusion cell used for the diffusion experiment. (Less)
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author
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
Journal of Physics D: Applied Physics
volume
40
issue
9
pages
2870 - 2880
publisher
IOP Publishing
external identifiers
  • wos:000246568800042
  • scopus:34247535901
ISSN
1361-6463
DOI
10.1088/0022-3727/40/9/031
language
English
LU publication?
yes
id
60f5e2df-3ee8-4619-8dfd-034410e13313 (old id 663369)
date added to LUP
2007-12-13 16:32:10
date last changed
2017-01-01 06:56:18
@article{60f5e2df-3ee8-4619-8dfd-034410e13313,
  abstract     = {In this work, a method has been developed to easily determine the effective diffusion coefficient (D-e) of a solute in a permeable membrane using electronic speckle pattern interferometry. Fringes are introduced parallel to the direction of diffusion during the diffusion process and D-e can be calculated by simple measurements on the interference pattern. For a fast and convenient determination of D-e, a mathematical expression has been derived from the analytical solution of diffusion in two media separated by a resistance. The D-e obtained when fringes are introduced is in agreement with that obtained when fringes are not introduced. The effect of temperature variation on the optical path of the reference and the object beams has also been investigated. The error introduced into the calculation of D-e, when the temperature oscillation is not taken into account, has been compared for the case when fringes are not introduced during the diffusion experiment and the case when fringes are introduced. In the first case, the relative error can be greater than 100%. Interestingly, in the latter case, the error caused by temperature oscillation is considerably reduced, and no error is introduced if the temperature changes homogeneously over the whole diffusion cell used for the diffusion experiment.},
  author       = {Marucci, Mariagrazia and Pettersson, Sven-Göran and Ragnarsson, Gert and Axelsson, Anders},
  issn         = {1361-6463},
  language     = {eng},
  number       = {9},
  pages        = {2870--2880},
  publisher    = {IOP Publishing},
  series       = {Journal of Physics D: Applied Physics},
  title        = {Determination of a diffusion coefficient in a membrane by electronic speckle pattern interferometry: a new method and a temperature sensitivity study},
  url          = {http://dx.doi.org/10.1088/0022-3727/40/9/031},
  volume       = {40},
  year         = {2007},
}