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.
Issue Section:
Fluids/Heat/Transport
1.
Fazzalari
, F. L.
, Bartlett
, R. H.
, Bonnell
, M. R.
, and Montoya
, J. P.
, 1994 “An Intrapleural Lung Prothesis-Rationale, Design, and Testing
,” Artif. Organs
0160-564X, 18
(11
), pp. 801
–805
.2.
Lynch
, W. R.
, Montoya
, J. P.
, Brant
, D. O.
, Schreiner
, R. J.
, Iannettoni
, M. D.
, and Bartlett
, R. H.
, 2000, “Hemodynamic Effect of a Low-Resistance Artificial Lung in Series With the Native Lungs of Sheep
,” Ann. Thorac. Surg.
0003-4975, 69
(2
), pp. 351
–356
.3.
Zwischenberger
, J. B.
, and Alpard
, S. K.
, 2002, “Artificial Lungs: A New Inspiration
,” Perfusion
0267-6591, 17
(4
), pp. 253
–268
.4.
Ichinose
, K.
, Okamoto
, T.
, Tanimoto
, H.
, Yoshitake
, A.
, Tashiro
, M.
, Sakanashi
, Y.
, Kuwana
, K.
, Tahara
, K.
, Kamiya
, M.
, and Terasaki
, H.
, 2004, “Comparison of a New Heparin-Coated Dense Membrane Lung With Nonhaparin-Coated Dense Membrane Lung for Prolonged Extracorporeal Lung Assist in Goats
,” Artif. Organs
0160-564X, 28
(11
), pp. 993
–1001
.5.
Haft
, J. W.
, Griffith
, B. P.
, Hirschl
, R. B.
, and Bartlett
, R. H.
, 2002, “Results of an Artificial-Lung Survey to Lung Transplant Program Directors
,” J. Heart Lung Transplant
1053-2498, 21
(4
), pp. 467
–472
.6.
Hill
, A. V.
, 1910, “The Possible Effects of Aggregation of the Molecules of Haemoglobin on its Dissociation Curve
,” J. Physiol. (London)
0022-3751, 40
, 4
–7
.7.
Spencer
, J. L.
, Firouztale
, E.
, and Mellins
, R. B.
, 1979, “Computational Expressions for Blood Oxygen and Carbon Dioxide Concentrations
,” Ann. Biomed. Eng.
0090-6964, 7
, pp. 59
–66
.8.
Dash
, R. K.
, and Bassingthwaigthte
, J. B.
, 2004, “Blood HbO2 and HbCO2 Dissociation Curves at Varied O2, CO2, pH, 2,3-DPG and Temperature Levels
,” Ann. Biomed. Eng.
0090-6964, 32
(12
), pp. 1676
–1693
.9.
Hill
, E. P.
, Power
, G. G.
, and Longo
, L. D.
, 1973, “Mathematical Simulation of Pulmonary O2 and CO2 Exchange
,” Am. J. Physiol.
0002-9513, 224
, pp. 904
–917
.10.
Krogh
, A.
, 1919, “The Supply of Oxygen to the Tissue and the Regulation of the Capillary Circulation
,” J. Physiol. (London)
0022-3751, 52
(6
), pp. 457
–474
.11.
Zierenberg
, J. R.
, Fujioka
, H.
, Suresh
, V.
, Bartlett
, R. H.
, Hirschl
, R. B.
, and Grotberg
, J. B.
, 2006, “Pulsatile Flow and Mass Transport Past a Circular Cylinder
,” Phys. Fluids
1070-6631, 18
(1
), pp. 03102
-1–03102-15
.12.
Popel
, A. S.
, 1989, “Theory of Oxygen Transport to Tissue
,” Crit. Rev. Biomed. Eng.
0278-940X, 17
(3
), pp. 257
–321
.13.
Baker
, D. A.
, Holte
, J. E.
, and Patankar
, S. V.
, 1991, “Computationally Two-Dimensional Finite-Difference Model for Hollow-Fiber Blood-Gas Exchange Device
,” Med. Biol. Eng. Comput.
0140-0118, 29
, pp. 482
–488
.14.
Wang
, N. H. L.
, and Keller
, N. H.
, 1979, “Solute Transport Induced by Erythrocyte Motions in Shear-Flow
,” Trans. Am. Soc. Artif. Intern. Organs
0066-0078, 25
, pp. 14
–18
.15.
Wang
, N. H. L.
, and Keller
, N. H.
, 1985, “Augmented Transport of Extracellular Solutes in Concentrated Erythrocyte Suspensions in Couette-Flow
,” J. Colloid Interface Sci.
0021-9797, 103
, pp. 210
–225
.16.
Gage
, K. L.
, Gartner
, M. J.
, Burgreen
, G. W.
, and Wagner
, W. R.
, 2002, “Predicting Membrane Oxygenator Pressure Drop Using Computational Fluid Dynamics
,” Artif. Organs
0160-564X, 26
(7
), pp. 600
–607
.17.
Dierickx
, P. W. T.
, De Wachter
, D.
, and Verdonck
, P. R.
, 2000, “Blood Flow Around Hollow Fibers
,” Int. J. Artif. Organs
0391-3988, 23
(9
), pp. 610
–617
.18.
Dierickx
, P. W.
, de Wachter
, D. S.
, and Verdonck
, P. R.
, 2001, “Two-Dimensional Finite Element Model for Oxygen Transfer in Cross-Flow Hollow Fiber Membrane Artificial Lungs
,” Int. J. Artif. Organs
0391-3988, 24
(9
), pp. 628
–635
.19.
Mockros
, L. F.
, and Gaylor
, J. D. S.
, 1975, “Artificial Lung Design—Tubular Membrane Units
,” Med. Biol. Eng.
0025-696X, 13
(2
), pp. 171
–181
.20.
Vaslef
, S. N.
, Mockros
, L. F.
, Anderson
, R. W.
, and Ronald
, J. L.
, 1994, “Use of a Mathematical Model to Predict Oxygen Transfer Rates in Hollow Fiber Membrane Oxygenators
,” ASAIO J.
1058-2916, 40
, pp. 990
–996
.21.
Hewitt
, T. J.
, Hattler
, B. G.
, and Federspiel
, W. J.
, 1998, “A Mathematical Model of Gas Exchange in an Intravenous Membrane Oxygenator
,” Ann. Biomed. Eng.
0090-6964, 26
(1
), pp. 166
–178
.22.
Dierickx
, P. W.
, De Somer
, F.
, De Wachter
, D. S.
, Van Nooten
, G.
, and Verdonck
, P. R.
, 2000, “Hydrodynamic Characteristics of Artificial Lungs
,” ASAIO J.
1058-2916, 46
(5
), pp. 532
–535
.23.
Kanamori
, T.
, Niwa
, M.
, Kawakami
, H.
, Mori
, Y.
, Nagaoka
, S.
, Haraya
, K.
, and Shinbo
, T.
, 2000, “Estimate of Gas Transfer Rates of Intravascular Membrane Oxygenator
,” ASAIO J.
1058-2916, 46
, pp. 612
–619
.24.
Dierickx
, P. W.
, De Wachter
, D. S.
, De Somer
, F.
, Van Nooten
, G.
, and Verdonck
, P. R.
, 2001, “Mass Transfer Characteristics of Artificial Lungs
,” ASAIO J.
1058-2916, 47
(6
), pp. 628
–633
.25.
Pennati
, G.
, Fiore
, G. B.
, Inzoli
, F.
, Mastrantonio
, F.
, Galavotti
, D.
, and Fini
, M.
, 1998, “Mass Transfer Efficiency of a Commercial Hollow Fibre Oxygenator During Six-Hour in Vitro Perfusion With Steady and Pulsatile Blood Flow
,” Int. J. Artif. Organs
0391-3988, 21
(2
), pp. 97
–106
.26.
Fiore
, G. B.
, Pennati
, G.
, Inzoli
, F.
, Mastrantonio
, F.
, and Galavotti
, D.
, 1998, “Effects of Blood Flow Pulse Frequency on Mass Transfer Efficiency of a Commercial Hollow Fibre Oxygenator
,” Int. J. Artif. Organs
0391-3988, 21
(9
), pp. 535
–541
.27.
Chan
, K. Y.
, Fujioka
, H.
, Bartlett
, R. H.
, Hirschl
, R. B.
, and Grotberg
, J. B.
, 2006, “Pulsatile Flow and Mass Transport Over an Array of Cylinders: Gas Transfer in a Cardiac-Driven Artificial Lung
,” J. Biomech. Eng.
0148-0731, 128
(1
), pp. 85
–96
.28.
Chow
, T. W.
, Hellums
, J. D.
, Moake
, J. L.
, and Kroll
, M. H.
, 1992, “Shear Stress-Induced von Willebrand Factor Binding to Platelet Glygoprotein Ib Initiates Calcium Influx Associated With Aggregation
,” Blood
0006-4971, 80
(1
), pp. 113
–120
.29.
Kroll
, M. H.
, Hellums
, J. D.
, McIntire
, L. V.
, Schafer
, A. I.
, and Moake
, J. L.
, 1996, “Platelets and Shear Stress
,” Blood
0006-4971, 88
(5
), pp. 1525
–1541
.Copyright © 2007
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