Non‐Newtonian blood flow study in a model cavopulmonary vascular system

A transient haemodynamic study in a model cavopulmonary vascular system has been carried out for a typical range of parameters using a finite element-based Navier―Stokes solver. The focus of this study is to investigate the influence of non-Newtonian behaviour of the blood on the haemodynamic quantities, such as wall shear stress (WSS) and flow pattern. The computational fluid dynamics (CFD) model is based on an artificial compressibility characteristic-based split (AC-CBS) scheme, which has been adopted to solve the Navier―Stokes equations in space-time domain. A power law model has been implemented to characterize the shear thinning nature of the blood depending on the local strain rate. Using the computational model, numerical investigations have been performed for Newtonian and non-Newtonian flows for different frequencies and input pulse forms. The haemodynamic quantities observed in total cavopulmonary connection (TCPC) for the above conditions suggest that there are considerable differences in average (about 25-40%) and peak (about 50%) WSS distributions, when the non-Newtonian behaviour of the blood is taken into account. The lower WSS levels observed for non-Newtonian cases point to the higher risk of lesion formation, especially at higher pulsation frequencies. A realistic pulse form is relatively safer than a sinusoidal pulse as it has more energy distributed in the higher harmonics, which results in higher average WSS values. The present study highlights the importance of including non-Newtonian shear thinning behaviour for modelling blood flow in the vicinity of repaired arterial connections.

[1]  Barbara M. Johnston,et al.  Non-Newtonian blood flow in human right coronary arteries: steady state simulations. , 2004, Journal of biomechanics.

[2]  Jiyuan Tu,et al.  Modeling of non-Newtonian blood flow through a stenosed artery incorporating fluid-structure interaction , 2007 .

[3]  M. Grigioni,et al.  the patterns of flow in the total extracardiac cavopulmonary connection , 2004, Cardiology in the Young.

[4]  P. Nithiarasu An efficient artificial compressibility (AC) scheme based on the characteristic based split (CBS) method for incompressible flows , 2003 .

[5]  C. Vergara,et al.  Flow rate defective boundary conditions in haemodynamics simulations , 2005 .

[6]  H. Low,et al.  Flow studies on atriopulmonary and cavopulmonary connections of the Fontan operations for congenital heart defects. , 1993, Journal of biomedical engineering.

[7]  S Glagov,et al.  The role of fluid mechanics in the localization and detection of atherosclerosis. , 1993, Journal of biomechanical engineering.

[8]  Michael M. Resch,et al.  Pulsatile non-Newtonian blood flow simulation through a bifurcation with an aneurysm. , 1989, Biorheology.

[9]  Tony W. H. Sheu,et al.  A finite element study of the blood flow in total cavopulmonary connection , 1999 .

[10]  Panagiotis Neofytou,et al.  Non-Newtonian flow instability in a channel with a sudden expansion , 2003 .

[11]  A. Qiao,et al.  Numerical study of hemodynamics comparison between small and large femoral bypass grafts , 2007 .

[12]  A. Yoganathan,et al.  In vitro flow experiments for determination of optimal geometry of total cavopulmonary connection for surgical repair of children with functional single ventricle. , 1996, Journal of the American College of Cardiology.

[13]  P. Walker,et al.  Hemodynamics of the Fontan connection: an in-vitro study. , 1995, Journal of biomechanical engineering.

[14]  Thomas J. R. Hughes,et al.  Finite Element Modeling of Three-Dimensional Pulsatile Flow in the Abdominal Aorta: Relevance to Atherosclerosis , 2004, Annals of Biomedical Engineering.

[15]  P. Nithiarasu,et al.  An investigation of pulsatile flow in a model cavo-pulmonary vascular system , 2009 .

[16]  F J Walburn,et al.  A constitutive equation for whole human blood. , 1976, Biorheology.

[17]  P. Kilner,et al.  Total cavopulmonary connection: a logical alternative to atriopulmonary connection for complex Fontan operations. Experimental studies and early clinical experience. , 1988, The Journal of thoracic and cardiovascular surgery.

[18]  R. Schroter,et al.  Atheroma and arterial wall shear - Observation, correlation and proposal of a shear dependent mass transfer mechanism for atherogenesis , 1971, Proceedings of the Royal Society of London. Series B. Biological Sciences.

[19]  C. Knott-Craig,et al.  Successful thrombectomy for thrombosis of the right side of the heart after the Fontan operation. Report of two cases and review of the literature. , 1993, Journal of Thoracic and Cardiovascular Surgery.

[20]  N. S. Elgazery,et al.  The effects of variable fluid properties and magnetic field on the flow of non‐Newtonian fluid film on an unsteady stretching sheet through a porous medium , 2008 .

[21]  A. Yoganathan,et al.  The effects of different mesh generation methods on computational fluid dynamic analysis and power loss assessment in total cavopulmonary connection. , 2004, Journal of biomechanical engineering.

[22]  S. Pushpavanam,et al.  Analysis of Spatiotemporal Variations and Flow Structures in a Periodically Driven Cavity , 2006 .

[23]  C L Lucas,et al.  The effect of incorporating vessel compliance in a computational model of blood flow in a total cavopulmonary connection (TCPC) with caval centerline offset. , 2004, Journal of biomechanical engineering.

[24]  T. Pedley The Fluid Mechanics of Large Blood Vessels: Contents , 1980 .

[25]  P. Nithiarasu,et al.  A 1D arterial blood flow model incorporating ventricular pressure, aortic valve and regional coronary flow using the locally conservative Galerkin (LCG) method , 2008 .

[26]  B. Reitz,et al.  Arrhythmias and thromboembolic complications after the extracardiac Fontan operation. , 1998, The Journal of thoracic and cardiovascular surgery.

[27]  R. Nerem Vascular fluid mechanics, the arterial wall, and atherosclerosis. , 1992, Journal of biomechanical engineering.