The pulsatile blood flow and gas transport of oxygen and carbon dioxide through a cylindrical array of microfibers are numerically simulated. Blood is modeled as a homogeneous Casson fluid, and hemoglobin molecules in blood are assumed to be in local equilibrium with oxygen and carbon dioxide. It is shown that flow pulsatility enhances gas transport and the amount of gas exchange is sensitive to the blood flow field across the fibers. The steady Sherwood number dependence on Reynolds number was shown to have a linear relation consistent with experimental findings. For most cases, an enhancement in gas transport is accompanied with an increase in flow resistance. Maximum local shear stress is provided as a possible indicator of thrombosis, and the computed shear stress is shown to be below the threshold value for thrombosis formation for all cases evaluated.
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October 2007
Technical Papers
Pulsatile Blood Flow and Gas Exchange Across a Cylindrical Fiber Array
Kit Yan Chan,
Kit Yan Chan
Department of Biomedical Engineering,
The University of Michigan
, Ann Arbor, Michigan 48109
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Hideki Fujioka,
Hideki Fujioka
Department of Biomedical Engineering,
The University of Michigan
, Ann Arbor, Michigan 48109
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Ronald B. Hirshl,
Ronald B. Hirshl
Department of Surgery,
The University of Michigan
, Ann Arbor, Michigan 48109
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Robert H. Bartlett,
Robert H. Bartlett
Department of Surgery,
The University of Michigan
, Ann Arbor, Michigan 48109
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James B. Grotberg
James B. Grotberg
Department of Biomedical Engineering,
The University of Michigan
, Ann Arbor, Michigan 48109
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Kit Yan Chan
Department of Biomedical Engineering,
The University of Michigan
, Ann Arbor, Michigan 48109
Hideki Fujioka
Department of Biomedical Engineering,
The University of Michigan
, Ann Arbor, Michigan 48109
Ronald B. Hirshl
Department of Surgery,
The University of Michigan
, Ann Arbor, Michigan 48109
Robert H. Bartlett
Department of Surgery,
The University of Michigan
, Ann Arbor, Michigan 48109
James B. Grotberg
Department of Biomedical Engineering,
The University of Michigan
, Ann Arbor, Michigan 48109J Biomech Eng. Oct 2007, 129(5): 676-687 (12 pages)
Published Online: February 18, 2007
Article history
Received:
April 18, 2006
Revised:
February 18, 2007
Citation
Chan, K. Y., Fujioka, H., Hirshl, R. B., Bartlett, R. H., and Grotberg, J. B. (February 18, 2007). "Pulsatile Blood Flow and Gas Exchange Across a Cylindrical Fiber Array." ASME. J Biomech Eng. October 2007; 129(5): 676–687. https://doi.org/10.1115/1.2768105
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