# Diffusion models of multicomponent mixtures in the lung*

ESAIM: Proceedings (2010)

- Volume: 30, page 90-103
- ISSN: 1270-900X

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topBoudin, L., Götz, D., and Grec, B.. Bresch, D., et al, eds. " Diffusion models of multicomponent mixtures in the lung*." ESAIM: Proceedings 30 (2010): 90-103. <http://eudml.org/doc/251263>.

@article{Boudin2010,

abstract = {In this work, we are interested in two different diffusion models for multicomponent
mixtures. We numerically recover experimental results underlining the inadequacy of the
usual Fick diffusion model, and the importance of using the Maxwell-Stefan model in
various situations. This model nonlinearly couples the mole fractions and the fluxes of
each component of the mixture. We then consider a subregion of the lower part of the lung,
in which we compare the two different models. We first recover the fact that the Fick
model is enough to model usual air breathing. In the case of chronic obstructive
bronchopneumopathies, a mixture of helium and oxygen is often used to improve a patient’s
situation. The Maxwell-Stefan model is then necessary to recover the experimental
behaviour, and to observe the benefit for the patient, namely an oxygen peak.},

author = {Boudin, L., Götz, D., Grec, B.},

editor = {Bresch, D., Calvez, V., Grenier, E., Vigneaux, P., Gerbeau, J-F.},

journal = {ESAIM: Proceedings},

language = {eng},

month = {12},

pages = {90-103},

publisher = {EDP Sciences},

title = { Diffusion models of multicomponent mixtures in the lung*},

url = {http://eudml.org/doc/251263},

volume = {30},

year = {2010},

}

TY - JOUR

AU - Boudin, L.

AU - Götz, D.

AU - Grec, B.

AU - Bresch, D.

AU - Calvez, V.

AU - Grenier, E.

AU - Vigneaux, P.

AU - Gerbeau, J-F.

TI - Diffusion models of multicomponent mixtures in the lung*

JO - ESAIM: Proceedings

DA - 2010/12//

PB - EDP Sciences

VL - 30

SP - 90

EP - 103

AB - In this work, we are interested in two different diffusion models for multicomponent
mixtures. We numerically recover experimental results underlining the inadequacy of the
usual Fick diffusion model, and the importance of using the Maxwell-Stefan model in
various situations. This model nonlinearly couples the mole fractions and the fluxes of
each component of the mixture. We then consider a subregion of the lower part of the lung,
in which we compare the two different models. We first recover the fact that the Fick
model is enough to model usual air breathing. In the case of chronic obstructive
bronchopneumopathies, a mixture of helium and oxygen is often used to improve a patient’s
situation. The Maxwell-Stefan model is then necessary to recover the experimental
behaviour, and to observe the benefit for the patient, namely an oxygen peak.

LA - eng

UR - http://eudml.org/doc/251263

ER -

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