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Computational fluid mechanics of the blood flow in an aortic vessel with realistic geometry

  • Hideki Fujioka
  • Kazuo Tanishita

Summary

The intermittent and developing flow through a physiologically realistic model of an aortic arch was analyzed by solving the three dimensional Navier-Stokes equations numerically. The flow solver implemented the SIMPLER algorithm on a structured mesh. The model geometry was described by a set of formulas based on physiological data, obtained from Computed Tomography images. The results show that during diastole a secondary flow vortex with clockwise rotation is formed in the upper aortic arch, whilst in the descending aortic arch a counter-clockwise secondary flow vortex is formed. Both there vortices were still present at late systole. The most noticeable effect of the non-planarity of the geometry is in moving the stagnation point of the secondary flow around the inner wall. In turn, this cause large variation of wall shear stress direction in a narrow region.

Keywords

Wall Shear Stress Aortic Arch Secondary Flow Model Geometry Oscillatory Shear Index 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. Caro, C.G., Doorly, D.J., Tamawski, M., Scott, K.T., Long, Q. and Dumoulin, C.L.. (1996) Non-planar curvature and branching of arteries and non-planar-type flow. Proc. R. Soc. Lond. A 452: 185–197MATHCrossRefGoogle Scholar
  2. Dean, W.R. (1927) Note on the motion of fluid in a curved pipe. Phil. Mag. 4: 208–223MATHGoogle Scholar
  3. Kamiya, A. and Togawa, T. (1980) Adaptive regulation of wall shear stress to flow change in the canine artery. Am. J. Physiol. 239: H14–H21Google Scholar
  4. Kataoka, M., Ujita, S. and Sato, M. (1998) Effect of flow direction on the morphological responses of cultured bovine aortic endothelial cells. Med. Biol. Eng. Comp. 36: 122–128CrossRefGoogle Scholar
  5. Kilner, P.J., Yang, G.Z., Mohiaddin, R.H., Firmin, D.N. and Longmore, D. B. (1993) Helical and retrograde secondary flow patterns in the aortic arch studied by three-directional magnetic resonance velocity mapping. Circulation 88: 2235–2247CrossRefGoogle Scholar
  6. Konno, T., Satoh, T. and Tanishita, K. (1994) Secondary flows augmentation in the diastole of physiologically intermittent flow in a curved tube. VDI 17: 205Google Scholar
  7. Ku, D.N., Giddeng, D.P., Zarins, C.K. and Glagov, S. (1985) Pulsatile flow and atherosclerosis in the human carotid bifurcation. Arteriosclerosis 5: 293CrossRefGoogle Scholar
  8. Naruse, T. and Tanishita, K. (1996) Large curvature effect on pulsatile entrance flow in a curved tube: model experiment simulating blood flow in an aortic arch. Trans. ASME, J. Biomech. Eng. 118: 180CrossRefGoogle Scholar
  9. Patankar, S.V. (1981) A calculation procedure for two-dimensional elliptic situations. Num. Heat Transfer 4: 409CrossRefGoogle Scholar
  10. Pedley, T.J. (1980) The fluid mechanics of large blood vessels. Cambridge University PressMATHCrossRefGoogle Scholar
  11. Thompson, J.F. and Warsi, Z.U. (1982) Boundary-fitted coordinate syatems for numerical solution of partial differential equations-a review. J. Comp. Phys. 47: 1–108.MathSciNetMATHCrossRefGoogle Scholar
  12. Wilkinson, J.H. and Reinsh, C. (1971) Linear Algebra. SpringerGoogle Scholar
  13. Zabielsky, L. and Mestel, J. (1998a) Steady flow in a helically symmetric pipe. J. Fluid Mech. 370: 297–320CrossRefGoogle Scholar
  14. Zabielsky, L. and Mestel, J. (1998b) Unsteady blood flow in a helically symmetric pipe. J. Fluid Mech. 370: 321–345CrossRefGoogle Scholar

Copyright information

© Springer Japan 2000

Authors and Affiliations

  • Hideki Fujioka
    • 1
  • Kazuo Tanishita
    • 2
  1. 1.Department of Biological and Medical SystemsImperial College of Science, Technology and MedicineLondonUK
  2. 2.Department of System Design EngineeringKEIO UniversityYokohamaJapan

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