Simulation of blood flow in human aorta with emphasis on outlet boundary conditions

Blood flow in human aorta and its major branches is analyzed by computational fluid dynamics, for physiologic and extracorporeal circulation, the latter being the main focus. Mainly, a steady-state analysis is applied corresponding to extracorporeal circulation conditions. For physiologic circulation, pulsatile flow is also investigated. Distensibility of aorta walls is neglected. Blood is modeled as Newtonian fluid. The SST model is employed for turbulence in all cases, for a coherent treatment of the flows exhibiting Reynolds numbers encompassing the transitional regime. For modeling outlet boundary conditions, a simple model based on the prescription of loss coefficients is proposed, which is believed to be more favorable than some more straightforward techniques such as the prescription of an outlet pressure. For physiologic circulation, it is observed that the time-averaged velocity field of pulsatile flow does not show remarkable differences to steady-state results. For extracorporeal circulation, two cases, namely an antegrade and a retrograde perfusion are investigated. Flow patterns observed for the physiologic circulation and the extracorporeal circulation techniques show considerable differences. For extracorporeal circulation, much larger wall shear stress values are predicted. This indicates that mobilization of arteriosclerotic plaques needs to be considered as a very important issue for the extracorporeal circulation.

[1]  Stanley A. Berger,et al.  Fully developed pulsatile flow in a curved pipe , 1988, Journal of Fluid Mechanics.

[2]  Michael M. Resch,et al.  Pulsatile non-Newtonian flow characteristics in a three-dimensional human carotid bifurcation model. , 1991, Journal of biomechanical engineering.

[3]  M. H. Friedman,et al.  Correlation among shear rate measures in vascular flows. , 1987, Journal of biomechanical engineering.

[4]  van de Fn Frans Vosse,et al.  The influence of the non-Newtonian properties of blood on the flow in large arteries: unsteady flow in a 90° curved tube , 1999 .

[5]  P. Peronneau,et al.  Flow in the thoracic aorta. , 1979, Cardiovascular research.

[6]  Ali Cemal Benim,et al.  Modelling turbulent flow past a circular cylinder by RANS, URANS, LES and DES , 2008 .

[7]  van de,et al.  Numerical analysis of carotid artery flow , 1987 .

[8]  Karl Perktold,et al.  Computational Models of Arterial Flow and Mass Transport , 2003 .

[9]  Timothy J. Barth,et al.  The design and application of upwind schemes on unstructured meshes , 1989 .

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

[11]  Gianni Pedrizzetti,et al.  Cardiovascular fluid mechanics , 2003 .

[12]  S. Berger,et al.  Periodic flows through curved tubes: the effect of the frequency parameter , 1990, Journal of Fluid Mechanics.

[13]  J. P. V. Doormaal,et al.  ENHANCEMENTS OF THE SIMPLE METHOD FOR PREDICTING INCOMPRESSIBLE FLUID FLOWS , 1984 .

[14]  J. M. Siegel,et al.  Computational Analysis of Flow in a Curved Tube Model of the Coronary Arteries: Effects of Time-varying Curvature , 1998, Annals of Biomedical Engineering.

[15]  T Naruse,et al.  Large curvature effect on pulsatile entrance flow in a curved tube: model experiment simulating blood flow in an aortic arch. , 1996, Journal of biomechanical engineering.

[16]  C Kleinstreuer,et al.  Numerical investigation and prediction of atherogenic sites in branching arteries. , 1995, Journal of biomechanical engineering.

[17]  J. Grotberg,et al.  Bolus contaminant dispersion for oscillatory flow in a curved tube. , 1996, Journal of biomechanical engineering.

[18]  Harry A. Dwyer,et al.  Calculation of Unsteady Flows in Curved Pipes , 2001 .

[19]  Lee R. Waite,et al.  Applied Biofluid Mechanics , 2007 .

[20]  C. M. Rodkiewicz,et al.  Localization of early atherosclerotic lesions in the aortic arch in the light of fluid flow. , 1975, Journal of biomechanics.

[21]  Timothy J. Pedley,et al.  Arterial and Venous Fluid Dynamics , 2003 .

[22]  F. Menter Improved two-equation k-omega turbulence models for aerodynamic flows , 1992 .

[23]  Charles A. Taylor,et al.  Outflow boundary conditions for three-dimensional finite element modeling of blood flow and pressure in arteries , 2006 .

[24]  Timothy J. Pedley,et al.  The fluid mechanics of large blood vessels , 1980 .

[25]  R M Nerem,et al.  Effects of pulsatile flow on cultured vascular endothelial cell morphology. , 1991, Journal of biomechanical engineering.

[26]  K B Chandran,et al.  Physiological pulsatile flow experiments in a model of the human aortic arch. , 1982, Journal of biomechanics.

[27]  G Gerrit Vossers,et al.  Unsteady entrance flow in a 90° curved tube , 1991, Journal of Fluid Mechanics.

[28]  S Glagov,et al.  Fluid wall shear stress measurements in a model of the human abdominal aorta: oscillatory behavior and relationship to atherosclerosis. , 1994, Atherosclerosis.

[29]  Y. Komai,et al.  Fully developed intermittent flow in a curved tube , 1997, Journal of Fluid Mechanics.

[30]  F. Menter ZONAL TWO EQUATION k-w TURBULENCE MODELS FOR AERODYNAMIC FLOWS , 1993 .

[31]  A. Barakat,et al.  Unsteady and three-dimensional simulation of blood flow in the human aortic arch. , 2002, Journal of biomechanical engineering.

[32]  T. Karino,et al.  Flow patterns and spatial distribution of atherosclerotic lesions in human coronary arteries. , 1990, Circulation research.

[33]  T. J. Pedley,et al.  Oscillatory flow in a tube of time-dependent curvature. Part 1. Perturbation to flow in a stationary curved tube , 1999, Journal of Fluid Mechanics.

[34]  K B Chandran,et al.  Flow dynamics in the human aorta. , 1993, Journal of biomechanical engineering.

[35]  Toshiaki Akita,et al.  Three-dimensional numerical simulation of blood flow in the aortic arch during cardiopulmonary bypass. , 2008, European journal of cardio-thoracic surgery : official journal of the European Association for Cardio-thoracic Surgery.

[36]  T. Inamura,et al.  Hydrodynamic evaluation of axillary artery perfusion for normal and diseased aorta , 2008, General thoracic and cardiovascular surgery.

[37]  J. Tarbell,et al.  Numerical simulation of pulsatile flow in a compliant curved tube model of a coronary artery. , 2000, Journal of biomechanical engineering.

[38]  A. Gosman,et al.  Solution of the implicitly discretised reacting flow equations by operator-splitting , 1986 .