Hostname: page-component-cd9895bd7-jkksz Total loading time: 0 Render date: 2024-12-19T12:21:22.387Z Has data issue: false hasContentIssue false
  • English
  • Français

The Rheology of Blood Flow in a Branched Arterial System with Three-Dimensional Model: A Numerical Study

Published online by Cambridge University Press:  05 May 2011

C.-H. Hsu ,
H.-H. Vu  and
Y.-H. Kang
C.-H. Hsu*
Affiliation:
Mold & Die Engineering Department, National Kaohsiung University of Applied Sciences, Kaohsiung, Taiwan 80778, R.O.C.
H.-H. Vu*
Affiliation:
Mechanical Engineering Department, National Kaohsiung University of Applied Sciences, Kaohsiung, Taiwan 80778, R.O.C.
Y.-H. Kang*
Affiliation:
Mechanical Engineering Department, National Kaohsiung University of Applied Sciences, Kaohsiung, Taiwan 80778, R.O.C.
*
*Associate Professor, corresponding author
**Graduate Student
**Graduate Student
Get access

Abstract

Blood flow rheology is a very complex phenomenon. Hemodynamics owns Newtonian or non-Newtonian characteristic is still debatable. Recently, studies related to blood tend to classify blood as non-Newtonian fluid. In this research, power law, Casson and Carreau which are being the most popular non-Newtonian models are applied to investigate the hemodynamics variables that influence formation of thrombosis and predict damageability to blood cell. The branched arterial system is simplified as T-junction geometry and the computational fluid dynamics software Fluent 6.2 with finite volume method is utilized to analyze the blood flow rheology in cases of continuous and pulsatile flow. The analysis results are compared with that of Newtonian model and give out very interesting hemodynamics predictions for each model. The size of recirculation zone is different from each model that is observed significantly. The wall shear stress of Carreau model gets the highest value, 14% in case of continuous flow and around 17% in pulsatile case bigger than that of Newtonian model. The results of pulsatile flow show that the Newtonian model is closed to power law model while the Casson model is similar to the Carreau model.

Keywords

HemodynamicsNewtonianNon-NewtonianRecirculation zoneWall shear stress.
Type
Technical Note
Information
Journal of Mechanics , Volume 25 , Issue 4 , December 2009 , pp. N21 - N24
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2009

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

1.Saladin, K. S., Anatomy and Physiology: The unity of form and function. McGraw-Hill (2000).Google Scholar
2.Fung, Y. C., Biomechanics Mechanical Properties of Living Tissues. Springer, chapter 3 (2004).Google Scholar
3.Rodkiewicz, C. M., Sinha, P. and Kennedy, J. S., “On the Application of a Constitutive Equation for Whole Human Blood,” Journal of Biomechanics Engineering, 112, pp. 198–206 (1990).CrossRefGoogle Scholar
4.Quarteroni, A., “What Mathematics can Do for the Simulation of Blood Circulation,” AMS Subject Classification: 92C50, 96C10, 76Z05, 74F10, 65N30, 65M60 (2006).Google Scholar
5.Gijsen, F. J. H., van de Vosse, F. N. and Janssen, J. D., “The Influence of the Non-Newtonian Properties of Blood on the Flow in Large Arteries: Steady Flow in a Carotid Bifurcation Model,” Journal of Biomechanics, 32, pp. 601–608, (1999)a.CrossRefGoogle Scholar
6.Gijsen, F. J. H., van de Vosse, F. N. and Janssen, J. D., “The Influence of the Non-Newtonian Properties of Blood on the Flow in Large Arteries: Unsteady Flow in a 900 Curved Tube,” Journal of Biomechanics, 32, pp. 705–713 (1999)b.CrossRefGoogle Scholar
7.Chen, J. and Lu, X. Y., “Numerical Investigation of the Non-Newtonian Pulsatile Blood Flow in a Bifurcation Model with a Non-Planar Branch,” Journal of Biomechanics, 39, pp. 818–832 (2006).CrossRefGoogle Scholar
8.Johnston, B. M., Johnston, P. R., Corney, S. and Kilpatrick, D., “Non-Newtonian Blood Flow in Human Right Coronary Arteries: Transient Simulation,” Journal of Biomechanics, 39, pp. 1116–1128 (2006).Google Scholar
9.Han, S. I., Marseille, O., Gehlen, C. and Blümich, B., “Rheology of Blood by NMR,” Journal of Magnetic Resonance, 152, pp. 87–94 (2001).CrossRefGoogle Scholar
10. Fluent 6.2 User's Guide. Fluent Inc (2005).Google Scholar
11.Shibeshi, S. S. and Collins, W. E., “The Rheology of Blood Flow in a Branched Arterial System,” National Institutes of Health: Appl. Rheol., 15, pp. 398–405 (2005).Google Scholar
12.Valencia, A. A., Guzmán, A. M., Finol, E. A. and Amon, C. H., “Blood Flow Dynamics in Saccular Aneurysm Models of the Basilar Artery,” Journal of Biomechanical Engineering, 128, pp. 516–526 (2006).CrossRefGoogle Scholar