Anil Kumar, C. L. Varshney, G. C. Sharma. Performance Modeling and Analyis of Blood Flow in Elastic Arteries[J]. Applied Mathematics and Mechanics, 2005, 26(3): 316-324.
Citation: Anil Kumar, C. L. Varshney, G. C. Sharma. Performance Modeling and Analyis of Blood Flow in Elastic Arteries[J]. Applied Mathematics and Mechanics, 2005, 26(3): 316-324.

Performance Modeling and Analyis of Blood Flow in Elastic Arteries

  • Received Date: 2003-10-17
  • Publish Date: 2005-03-15
  • Two different non-Newtonian models for blood flow are considered, first a simple power law model displaying shear thinning viscosity, and second a generalized Maxwell model displaying both shear thinning viscosity and oscillating flow viscous-elasticity. These models are used along with a Newtonian model to study sinusoidal flow of blood in rigid and elastic strainght arteries in the presence of magnetic field. The elasticity of blood does not appear to influence its flow behavior under physiological conditions in the large arteries, purely viscous shear thinning model should be quite realistic for simulating blood flow under these conditions. On using the power law model with high shear rate for sinusoidal flow simulation in elastic arteries, the mean and amplitude of the flow rate were found to be lower for a power law fluid compared to Newtonian fluid for the same pressure gradient. The governing equations have been solved by Crand-Niclson scheme. The results are interpreted in the context of blood in the elastic arteries keeping the magnetic effects in view. For physiological flow simulation in the aorta, an increase in mean wall shear stress, but a reduction in peak wall shear stress were observed for power law model compared to a Newtonian fluid model for matched flow rate wave form. Blood flow in the presence of transverse magnetic field in an elastic artery is investigated and the influence of factors such as morphology and surface irregularity is evaluated.
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  • [1]
    Thurston G B.Rheological parameters for the viscosity,visco-elasticity and thixotropy of blood[J].Biorheology,1979,16:149—155.
    Liepsch D, Moravec S. Pulsatile flow of non-Newtonian fluid in distensible models of human arteries[J].Biorheology,1984,21:571—583.
    Rindt C C M,Van de Vosse F N,Van Steenhoven A A,et al.A numerical and experimental analysis of the human carotid bifurcation[J].J Biomechanics,1987,20:499—509. doi: 10.1016/0021-9290(87)90250-8
    Nazemi M,Kleinstreuer C,Archie J P.Pulsatile two-dimensional flow and plaque formation in a carotid artery bifurcation[J].J Biomechanics,1990,23(10):1031—1037. doi: 10.1016/0021-9290(90)90318-W
    Rodkiewicz C M,Sinha P,Kennedy J S.On the application of a constitutive equation for whole human blood[J].J Biomechanical Engg,1990,112:198—204. doi: 10.1115/1.2891172
    Boesiger P,Maier S E,Kecheng L,et al.Visualisation and quantification of the human blood flow by magnetic resonance imaging[J].J Biomechanics,1992,25:55—67. doi: 10.1016/0021-9290(92)90245-V
    Perktold K,Thurner E,Kenner T.Flow and stress characteristics in rigid walled compliant carotid artery bifurcation models[J].Medical and Biological Engg and Computing,1994,32:19—26. doi: 10.1007/BF02512474
    Sharma G C,Kapoor J.Finite element computations of two-dimensional arterial flow in the presence of a transverse magnetic field[J].International J for Numerical Methods in Fluid Dynmaics,1995,20:1153—1161. doi: 10.1002/fld.1650201004
    Dutta A,Tarbell J M.Influence of non-Newtonian behavior of blood on flow in an elastic artery model[J].ASME J Biomechanical Engg,1996,118:111—119. doi: 10.1115/1.2795936
    Lee R,Libby P.The unstable atheroma[J].Arteriosclerosis Thrombosis Vascular Biology,1997,17:1859—1867. doi: 10.1161/01.ATV.17.10.1859
    Korenaga R,Ando J,Kamiya A.The effect of laminar flow on the gene expression of the adhesion molecule in endothelial cells[J].Japanese J Medical Electronics and Biological Engg,1998,36:266—272.
    Rachev A,Stergiopelos N,Meister J J.A model for geometric and mechanical adaptation of arteries to sustained hypertension[J].J Biomechanical Engg,1998,120:9—17. doi: 10.1115/1.2834313
    Rees J M,Thompson D S.Shear stress in arterial stenoses:a momentum integral model[J].J Biomechanics,1998,31:1051—1057. doi: 10.1016/S0021-9290(98)00130-4
    Tang D,Yang C,Huang Y,et al.Wall stress and strain analysis using a three-dimensional thick wall model with fluid-structure interactions for blood flow in carotid arteries with stenoses[J].Computers and Structures,1999,72:341—377. doi: 10.1016/S0045-7949(99)00009-7
    Zendehbudi G R,Moayary M S.Comparison of physiological and simple pulsatile flows through stenosed arteries[J].J Biomechanics,1999,32:959—965. doi: 10.1016/S0021-9290(99)00053-6
    Berger S A,Jou L D.Flows in stenotic vessels[J].Annual Review of Fluid Mechanics,2000,32:347—384. doi: 10.1146/annurev.fluid.32.1.347
    Botnar R,Rappitch G,Scheidegger M B,et al.Hemodynamics in the carotid artery bifurcation:a comparison between numerical simulation and in vitro MRI measurements[J].J Biomechanics,2000,33:137—144. doi: 10.1016/S0021-9290(99)00164-5
    Stroud J S,Berger S A,Saloner D.Influence of stenosis morphology on flow through severely stenotic vessels:implications for plaque rupture[J].J Biomechanics,2000,33:443—455. doi: 10.1016/S0021-9290(99)00207-9
    夏玛 G C,马德胡 J,克乌玛 A.动脉血管流动计算的伽辽宁省金有限元法研究[J].应用数学和力学,2001,22(9):911—917.
    Milnor W R.Hemodynamics[M].2nd edition.Baltmore:Williams and Wilkins,1989.
    White K C.Hemo-dynamics and wall shear rate measurements in the abdominal aorta of dogs[D].Ph D Thesis.The Pennsylvania State University.
    Dutta A,Wang D M,Tarbell J M.Numerical analysis of flow in an elastic artery model[J].ASME J Biomechanical Engg,1992,114:26—32. doi: 10.1115/1.2895444
    Patel D J,Janicki J S,Vaishnav R N,et al.Dynamic anisotropic viscoelastic properties of the aorta in living dogs[J].Circulation Research,1973,32:93—98. doi: 10.1161/01.RES.32.1.93
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