The mass transfer behavior in the recirculation region downstream of an axisymmetric sudden expansion was examined. The Reynolds number, 500, and Schmidt number, 3200, were selected to model the mass transfer of molecules, such as ADP, in the arterial system. In a first step the transient mass transport applying zero diffusive flux at the wall was analyzed using experiments and two computational codes. The two codes were FLUENT, a commercially available finite volume method, and FTSP, a finite element code developed at Graz University of Technology. The comparison of the transient wall concentration values determined by the three methods was excellent and provides a measure of confidence for computational mass transfer calculations in convection dominated, separated flows. In a second step the effect of the flow separation on the stationary mass transport applying a permeability boundary condition at the water-permeable wall was analyzed using the finite element code FTSP. The results show an increase of luminal ADP surface concentration in the upstream and in the downstream tube of the sudden expansion geometry in the range of six and twelve percent of the bulk flow concentration. The effect of flow separation in the downstream tube on the wall concentration is a decrease of about ten percent of the difference between wall concentration and bulk concentration occurring at nearly fully developed flow at the downstream region at a distance of 66 downstream tube diameters from the expansion. The decrease of ADP flux into the wall is in the range of three percent of the flux at the downstream region.
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April 2003
Technical Papers
Analysis of Hemodynamic Fluid Phase Mass Transport in a Separated Flow Region
Elizabeth M. Lutostansky,
Elizabeth M. Lutostansky
G. W. Woodruff School of Mechanical Engineering, Georgia Institute of Technology, Atlanta, Georgia 30332-0405
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Gerhard Karner,
Gerhard Karner
Institute of Mathematics, Graz University of Technology, Graz, Austria
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Gerhard Rappitsch,
Gerhard Rappitsch
Institute of Mathematics, Graz University of Technology, Graz, Austria
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David N. Ku,
David N. Ku
G. W. Woodruff School of Mechanical Engineering, Georgia Institute of Technology, Atlanta, Georgia 30332-0405
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Karl Perktold
Karl Perktold
Institute of Mathematics, Graz University of Technology, Graz, Austria
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Elizabeth M. Lutostansky
G. W. Woodruff School of Mechanical Engineering, Georgia Institute of Technology, Atlanta, Georgia 30332-0405
Gerhard Karner
Institute of Mathematics, Graz University of Technology, Graz, Austria
Gerhard Rappitsch
Institute of Mathematics, Graz University of Technology, Graz, Austria
David N. Ku
G. W. Woodruff School of Mechanical Engineering, Georgia Institute of Technology, Atlanta, Georgia 30332-0405
Karl Perktold
Institute of Mathematics, Graz University of Technology, Graz, Austria
Contributed by the Bioengineering Division for publication in the JOURNAL OF BIOMECHANICAL ENGINEERING. Manuscript received Mar. 2000; revised manuscript received Nov. 2002. Associate Editor: C. Ross Ethier.
J Biomech Eng. Apr 2003, 125(2): 189-196 (8 pages)
Published Online: April 9, 2003
Article history
Received:
March 1, 2000
Revised:
November 1, 2002
Online:
April 9, 2003
Citation
Lutostansky, E. M., Karner , G., Rappitsch, G., Ku, D. N., and Perktold, K. (April 9, 2003). "Analysis of Hemodynamic Fluid Phase Mass Transport in a Separated Flow Region ." ASME. J Biomech Eng. April 2003; 125(2): 189–196. https://doi.org/10.1115/1.1543547
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