Steady flow simulations of blood flow in an axisymmetric stenosed artery, subjected to a static magnetic field, are performed to investigate the influence of artery size, magnetic field strength, and non-Newtonian behavior on artery wall shear stress and pressure drop in the stenosed section. It is found that wall shear stress and pressure drop increase by decreasing artery size, assuming non-Newtonian fluid, and increasing magnetic field strength. In the computations, the shear thinning behavior of blood is accounted for by the Carreau–Yasuda model. Computational results are compared and found to be inline with available experimental data.
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References
1.
Most
, A. S.
, Ruocco
, N. A.
, and Gewirtz
, H.
, 1986
, “Effect of a Reduction in Blood Viscosity on Maximal Myocardial Oxygen Delivery Distal to a Moderate Coronary Stenosis
,” Circulation
, 74
, pp. 1085
–1092
.10.1161/01.CIR.74.5.10852.
Kwon
, O.
, Krishnamoorthy
, M.
, Cho
, Y. I.
, Sankovic
, J. M.
, and Banerjee
, R. K.
, 2008
, “Effect of Blood Viscosity on Oxygen Transport in Residual Stenosed Artery Following Angioplasty
,” ASME J. Biomech. Eng.
, 130
(1
), p. 011003
.10.1115/1.28380293.
Rosenson
, R. S.
, Shott
, S.
, and Tangney
, C. C.
, 2002
, “Hypertriglyceridemia is Associated With an Elevated Blood Viscosity Rosenson: Triglycerides and Blood Viscosity
,” Atherosclerosis
161
, pp. 433
–439
.10.1016/S0021-9150(01)00656-64.
Wang
, X.
, and Li
, X.
, 2011
, “Computational Simulation of Aortic Aneurysm Using FSI Method: Influence of Blood Viscosity on Aneurismal Dynamic Behaviors
,” Comput. Biol. Med.
, 41
, pp. 812
–821
.10.1016/j.compbiomed.2011.06.0175.
Lowe
, G. D.
, 1986
, “Blood Rheology in Arterial Disease
,” Clin. Sci.
, 71
, pp. 137
–146
.6.
Letcher
, R. L.
, Chien
, S.
, Pickering
, T. G.
, and Laragh
, J. H.
, 1983
, “Elevated Blood Viscosity in Patients With Borderline Essential Hypertension
,” Hypertension
, 5
, pp. 757
–762
.10.1161/01.HYP.5.5.7577.
Ding
, K.
, Liao
, D.
, Song
, X.
, and Zeng
, Y.
, 2000
, “Alteration of Blood Hemorheologic Properties During Cerebral Ischemia and Reperfusion in Rats
,” J. Biomech.
, 34
, pp. 171
–175
.8.
Yildnm
, C.
, Ahmet
, M. S.
, Hakan
, A.
, Nilufer
, K.
, and Kamber
, D.
, 1999
, “Effects of Nitroglycerin on Blood Viscosity and Hemodynamics
,” Curr. Ther. Res.
, 60
, pp. 478
–485
.10.1016/S0011-393X(00)88508-29.
Vaisman
, S.
, Kensey
, K.
, and Cho
, Y. I.
, 2009
, “Effect of Hemodialysis on Whole Blood Viscosity
,” Int. J. Artif. Organs
, 32
, pp. 329
–335
.10.
Moriarty
, P. M.
, Gibson
, C. A.
, Kensey
, K. R.
, and Hogenauer
, W.
, 2004
, “Effect of Low-Density Lipoprotein Cholesterol Apheresis on Blood Viscosity
,” Am. J. Cardiol.
, 93
, pp. 1044
–1046
.10.1016/j.amjcard.2003.12.05911.
Stammers
, A. H.
, Vang
, S. N.
, Mejak
, B. L.
, and Rauch
, E. D.
, 2003
, “Quantification of the Effect of Altering Hematocrit and Temperature on Blood Viscosity
,” J. Extra Corpor. Technol.
, 35
, pp. 143
–151
.12.
Di
, L. V.
, Rigalli
, A.
, Cinara
, L.
, and Hernandez
, G.
, 2008
, “Effect of Disodium Monofluorphosphate on Plasma and Blood Viscosity in the Rat
,” Clin. Hemorheol. Microcirc.
, 40
, pp. 259
–265
.13.
Haik
, Y.
, Pai
, V.
, and Chen
, C.-J.
, 2001
, “Apparent Viscosity of Human Blood in a High Static Magnetic Field
,” J. Magn. Magn. Mater.
, 225
(1–2
), pp. 180
–186
.10.1016/S0304-8853(00)01249-X14.
Yadav
, R. P.
, Harminder
, S.
, and Bhoopal
, S.
, 2008
, “Experimental Studies on Blood Flow in Stenosis Arteries in Presence of Magnetic Field
,” Ultra Sci.
, 20
(3
), pp. 499
–504
.15.
Bali
, R.
, and Awasthi
, U.
, 2007
, “Effect of a Magnetic Field on the Resistance to Blood Flow Through Stenotic Artery
,” Appl. Math. Comput.
, 188
(2
), pp. 1635
–1641
.10.1016/j.amc.2006.11.01916.
Tzirtzilakis
, E. E.
, 2008
, “Biomagnetic Fluid Flow in a Channel With Stenosis
,” Physica D
, 237
, pp. 66
–81
.10.1016/j.physd.2007.08.00617.
Ikbal
, Md. A.
, Chakravarty
, S.
, Wong
, K. K. L.
, Mazumdar
, J.
, and Mandal
, P. K.
, 2009
, “Unsteady Response of Non-Newtonian Blood Flow Through a Stenosed Artery in Magnetic Field
,” J. Comput. Appl. Math.
, 230
(1
), pp. 243
–259
.10.1016/j.cam.2008.11.01018.
Li
, J.
, and Huang
, H.
, 2010
, “Effect of Magnetic Field on Blood Flow and Heat Transfer Through a Stenosed Artery
,” Proceedings of the 3rd International Conference on Biomedical Engineering and Informatics
, pp. 2028
–2032
.19.
Kenjeres
, S.
, 2008
, “Numerical Analysis of Blood Flow in Realistic Arteries Subjected to Strong Non-Uniform Magnetic Fields
,” Int. J. Heat Fluid Flow
, 29
(3
), pp. 752
–764
.10.1016/j.ijheatfluidflow.2008.02.01420.
Habibi
, M. R.
, and Ghasemi
, M.
, 2011
, “Numerical Study of Magnetic Nanoparticles Concentration in Biofluid (Blood) Under Influence of High Gradient Magnetic Field
,” J. Magn. Magn. Mater.
, 323
(1
), pp. 32
–38
.10.1016/j.jmmm.2010.08.02321.
Hillman
, S. S.
, Withers
, P. C.
, Hedrick
, M. S.
, and Kimmel
, P. B.
, 1985
, “The Effects of Erythrocythemia on Blood Viscosity, Maximal Systemic Oxygen Transport Capacity and Maximal Rates of Oxygen Consumption in an Amphibian
,” J. Comp. Physiol. [B]
, 155
(5
), pp. 577
–581
.10.1007/BF0069444722.
Sankar
, D. S.
, Jaafar
, N. A.
, Ismail
, A. I. M.
, and Nagar
, A.
, 2011
, “Mathematical Modeling of a Complex System for MHD Flow in Hemodynamics
,” Proceedings of the 6th International Conference on Bio-Inspired Computing Theories and Applications
, pp. 324
–328
.23.
Tashtoush
, B.
, and Magableh
, A.
, 2007
, “Magnetic Field Effect On Blood Flow Through a Multi-Stenosed Artery
,” Heat Mass Transfer
, 43
, pp. 297
–304
.10.1007/s00231-007-0251-x24.
Quarteroni
, A.
, Tuveri
, M.
, and Veneziani
, A.
, 2000
, “Computational Vascular Fluid Dynamics: Problems, Models and Methods
,” Comput. Visualization Sci.
, 2
(4
), pp. 163
–197
.10.1007/s00791005003925.
Behr
, M.
, and Heinkenschloss
, M.
, 2005
, “Shape Optimisation in Steady Blood Flow: A Numerical Study of Non-Newtonian Effects
,” Comput. Methods Biomech. Biomed. Eng.
, 8
(2
), pp. 127
–137
.10.1080/1025584050018079926.
Gijsen
, F. J. H.
, van de Vosse
, F. N.
, and Janssen
, J. D.
, 1999
, “The Influence of the Non-Newtonian Properties of Blood on the Flow in Large Arteries: Steady Flow in a Carotid Bifurcation Model
,” J. Biomech.
, 32
, pp. 601
–608
.10.1016/S0021-9290(99)00015-927.
Boyd
, J.
, Buick
, J. M.
, and Green
, S.
, 2007
, “Analysis of the Casson and Carreau–Yasuda Non-Newtonian Blood Models in Steady and Oscillatory Flows Using the Lattice Boltzmann Method
,” Phys. Fluids
, 19
(9
), p. 093103
.10.1063/1.277225028.
Macosko
, C. W.
, 1994
, Rheology: Principles, Measurements and Applications
, Wiley
, New York
, p. 135
.29.
Chakeres
, D. W.
, Kanarlu
, A.
, Boudoulas
, H.
, and Young
, D.
, 2003
, “Effect of Static Magnetic Field Exposure of Up to 8 Tesla on Sequential Human Vital Sign Measurements
,” J. Magn. Reson. Imaging
, 18
, pp. 345
–352
.10.1002/jmri.1036730.
Tiari
, S.
, Ahmadpour-B
, M.
, Tafazzoli-Shadpour
, M.
, and Sadeghi
, M. R.
, 2011
, “An Experimental Study of Blood Flow in a Model of Coronary Artery With Single and Double Stenosis
,” Proceedings of the 18th Iranian Conference on Biomedical Engineering (ICBME)
, pp. 14
–16
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