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Flow patterns in models of small airway units of the lung

Published online by Cambridge University Press:  29 March 2006

M. R. Davidson  and
J. M. Fitz-Gerald
M. R. Davidson
Affiliation:
Department of Mathematics, University of Queensland, Australia
J. M. Fitz-Gerald
Affiliation:
Department of Mathematics, University of Queensland, Australia
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Abstract

Quasi-steady creeping flow in models of small airway units of the lung is investigated. A respiratory unit of the lung is modelled by a sphere, an oblate and a prolate ellipsoid of revolution, and a circular cylinder of finite length. The solution of the Stokes equations for each of these geometries is indicated for general axi-symmetric boundary conditions. For particular cases consistent with the models, streamlines are plotted and some velocity profiles are shown. It is suggested that bulk 00w in the ha1 generations of the lung is significant for gas transport even though diffusion is the predominant mechanism there.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 52 , Issue 1 , 14 March 1972 , pp. 161 - 177
Copyright
© 1972 Cambridge University Press

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References

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Weibel, E. R. 1963 Morphometry of the Human Lung. Springer.
Whittaker, E. T. & Watson, G. W. 1952 A Course of Modern Analysis, 4th edn. Cambridge University Press.