Reactive gas uptake is predicted and compared in a single bifurcation at steady expiratory flow in terms of Sherwood number using an axisymmetric single-path model (ASPM) and a three-dimensional computational fluid dynamics model (CFDM). ASPM is validated in a two-generation geometry by comparing the average gas-phase mass transfer coefficients with the experimental values. ASPM predicted mass transfer coefficients within 20% of the experimental values. The flow and concentration variables in the ASPM were solved using Galerkin finite element method and in the CFDM using commercial finite element software FIDAP. The simulations were performed for reactive gas flowing at Reynolds numbers ranging from 60 to 350 in both symmetric bifurcation for three bifurcation angles, , , and , and in an asymmetric bifurcation. The numerical models compared with each other qualitatively but quantitatively they were within 0.4–8% due to nonfully developed flow in the parent branch predicted by the CFDM. The radially averaged concentration variation along the axial location matched qualitatively between the CFDM and ASPM but quantitatively they were within 32% due to differences in the flow field. ASPM predictions compared well with the CFDM predictions for an asymmetric bifurcation. These results validate the simplified ASPM and the complex CFDM. ASPM predicts higher Sherwood number with a flat velocity inlet profile compared to a parabolic inlet velocity profile. Sherwood number increases with the inlet average velocity, wall mass transfer coefficient, and bifurcation angle since the boundary layer grows slower in the parent and daughter branches.
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February 2008
Research Papers
Comparison of Axisymmetric and Three-Dimensional Models for Gas Uptake in a Single Bifurcation During Steady Expiration
Srinath Madasu,
Srinath Madasu
Department of Chemical Engineering,
e-mail: srinath.madasu@mayahtt.com
The Pennsylvania State University
, University Park, PA 16802
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James S. Ultman,
James S. Ultman
Department of Chemical Engineering,
The Pennsylvania State University
, University Park, PA 16802
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Ali Borhan
Ali Borhan
Department of Chemical Engineering,
The Pennsylvania State University
, University Park, PA 16802
Search for other works by this author on:
Srinath Madasu
Department of Chemical Engineering,
The Pennsylvania State University
, University Park, PA 16802e-mail: srinath.madasu@mayahtt.com
James S. Ultman
Department of Chemical Engineering,
The Pennsylvania State University
, University Park, PA 16802
Ali Borhan
Department of Chemical Engineering,
The Pennsylvania State University
, University Park, PA 16802J Biomech Eng. Feb 2008, 130(1): 011013 (8 pages)
Published Online: February 11, 2008
Article history
Received:
December 29, 2006
Revised:
July 5, 2007
Published:
February 11, 2008
Citation
Madasu, S., Ultman, J. S., and Borhan, A. (February 11, 2008). "Comparison of Axisymmetric and Three-Dimensional Models for Gas Uptake in a Single Bifurcation During Steady Expiration." ASME. J Biomech Eng. February 2008; 130(1): 011013. https://doi.org/10.1115/1.2838041
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