A porous medium model of alveolar gas diffusion

Vladimir Koulich, José L. Lage, Connie C W Hsia, Robert L. Johnson

Research output: Contribution to journalArticle

14 Citations (Scopus)

Abstract

A mathematical model based on the volume-averaging technique is derived for simulating the diffusion process within the alveolar region of the lung. The derivation of this macroscopic model leads to a lung effective diffusivity that depends on the diffusivity and on the interface geometry of each alveolar constituent. Unfortunately, describing the internal geometry of the alveolar region for estimating the lung effective diffusivity is impractical. We found, however, that the steady-state solution of the macroscopic model can be used to obtain the lung effective diffusivity once the lung diffusing capacity is known. A preliminary investigation considering a hypothetical cubic domain representing the alveolar region of the lung is undertaken for demonstrating the applicability of the method. Using characteristic values of capillary red blood cell density, alveolar volume, and lung diffusing capacity, the representative lung effective diffusivity is computed and satisfactorily compared with the molecular diffusivity of each constituent of the alveolar region.

Original languageEnglish (US)
Pages (from-to)263-275
Number of pages13
JournalJournal of Porous Media
Volume2
Issue number3
StatePublished - 1999

Fingerprint

gaseous diffusion
Diffusion in gases
Lung
lungs
Porous Media
Porous materials
Diffusivity
diffusivity
Model
Geometry
Averaging Technique
Red Blood Cells
Gas
erythrocytes
Steady-state Solution
geometry
Diffusion Process
Blood
Cells
mathematical models

ASJC Scopus subject areas

  • Mechanical Engineering
  • Materials Science(all)
  • Physical and Theoretical Chemistry
  • Fluid Flow and Transfer Processes
  • Catalysis

Cite this

Koulich, V., Lage, J. L., Hsia, C. C. W., & Johnson, R. L. (1999). A porous medium model of alveolar gas diffusion. Journal of Porous Media, 2(3), 263-275.

A porous medium model of alveolar gas diffusion. / Koulich, Vladimir; Lage, José L.; Hsia, Connie C W; Johnson, Robert L.

In: Journal of Porous Media, Vol. 2, No. 3, 1999, p. 263-275.

Research output: Contribution to journalArticle

Koulich, V, Lage, JL, Hsia, CCW & Johnson, RL 1999, 'A porous medium model of alveolar gas diffusion', Journal of Porous Media, vol. 2, no. 3, pp. 263-275.
Koulich V, Lage JL, Hsia CCW, Johnson RL. A porous medium model of alveolar gas diffusion. Journal of Porous Media. 1999;2(3):263-275.
Koulich, Vladimir ; Lage, José L. ; Hsia, Connie C W ; Johnson, Robert L. / A porous medium model of alveolar gas diffusion. In: Journal of Porous Media. 1999 ; Vol. 2, No. 3. pp. 263-275.
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