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.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
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: 185–197
Dean, W.R. (1927) Note on the motion of fluid in a curved pipe. Phil. Mag. 4: 208–223
Kamiya, A. and Togawa, T. (1980) Adaptive regulation of wall shear stress to flow change in the canine artery. Am. J. Physiol. 239: H14–H21
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: 122–128
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: 2235–2247
Konno, T., Satoh, T. and Tanishita, K. (1994) Secondary flows augmentation in the diastole of physiologically intermittent flow in a curved tube. VDI 17: 205
Ku, D.N., Giddeng, D.P., Zarins, C.K. and Glagov, S. (1985) Pulsatile flow and atherosclerosis in the human carotid bifurcation. Arteriosclerosis 5: 293
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: 180
Patankar, S.V. (1981) A calculation procedure for two-dimensional elliptic situations. Num. Heat Transfer 4: 409
Pedley, T.J. (1980) The fluid mechanics of large blood vessels. Cambridge University Press
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.
Wilkinson, J.H. and Reinsh, C. (1971) Linear Algebra. Springer
Zabielsky, L. and Mestel, J. (1998a) Steady flow in a helically symmetric pipe. J. Fluid Mech. 370: 297–320
Zabielsky, L. and Mestel, J. (1998b) Unsteady blood flow in a helically symmetric pipe. J. Fluid Mech. 370: 321–345
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2000 Springer Japan
About this chapter
Cite this chapter
Fujioka, H., Tanishita, K. (2000). Computational fluid mechanics of the blood flow in an aortic vessel with realistic geometry. In: Yamaguchi, T. (eds) Clinical Application of Computational Mechanics to the Cardiovascular System. Springer, Tokyo. https://doi.org/10.1007/978-4-431-67921-9_12
Download citation
DOI: https://doi.org/10.1007/978-4-431-67921-9_12
Publisher Name: Springer, Tokyo
Print ISBN: 978-4-431-67989-9
Online ISBN: 978-4-431-67921-9
eBook Packages: Springer Book Archive