Skip to main content
  • 253 Accesses

Summary

As a result of the complex geometry of blood vessels involving multiplicity of branching, curved, elastic tubes and the viscosity and pulsation of blood fluid, blood flow in blood vessels within human body often shows a rich variety of vortical fluid dynamics. Hydrodynamically, factors dominating this vortical flow may be considered in three-fold: the moderate Reynolds number (several hundreds) where both viscosity and inertia turn to be comparably dominant; the pulsation of the blood flow that leads to periodic variation in acceleration; and the sudden change in geometry, e.g. the existence of the stenosis that may lead to separation. Such hemodynamic characteristics (blood-flow) enhances difficulties for us to understand detailed information of blood flow, which is important in determining the distribution of wall shear stress (WSS), a major factor in atherogenesis. The purpose of this study is to establish a robust and efficient computational fluid dynamic model, which is desired to be capable to accurately predict the vortical fluid mechanics in the blood vessels involving complex geometry and dynamics of the movement of the vessels. It is also aimed at deepening our understanding of some fundamental features of such kinds of vortical flows with application to the wall shear stress in arteries.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 129.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 179.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 169.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  • Beam RM, Warming RF (1978) An implicit factored scheme for the compressible NavierStokes equations. AIAA J 15 (4): 393–412.

    Article  Google Scholar 

  • Caro CG, Fitz-gerald JM, Schroter RC (1971) Atheroma and arterial wall shear: observation, correlation and proposal of a shear dependent mass transfer mechanism for atherogenesis. Proc R Soc Lond B177: 109–159.

    Article  Google Scholar 

  • Clampricottii C, Gamal MEI (1988) Vasospastic coronary occlusion associated with a myocardial bridge. Catheterization and Cardiovascular Diagnosis 14: 118–120.

    Article  Google Scholar 

  • Fry DL (1972) Localizing factors in arteriosclerosis, In atherosclerosis and coronary heart Disease. Likoff W, Segal BL, Insult, W Jr, Grune, Stratton (eds): 85–104.

    Google Scholar 

  • Glagov S, Weisenberg E, Zarins CK, Dilletis G, Stankunavicius R (1986) Compensatory enlargement of human atherosclerotic coronary arteries. NEJM 316: 1371–1375.

    Article  Google Scholar 

  • Huang H, Modi VJ, Seymour BR (1995) Fluid mechanics of stenosed arteries. Int J Engng Sci 33 (6): 815–828.

    Article  MATH  Google Scholar 

  • Kobayashi S, Mijovie B, Tang DL, Ku DN (1998) Collapse in high-grade stenosis during pulsatile flow experiment. Proc. 3rd World Congress of Biomech: 121.

    Google Scholar 

  • Klues HG, Schwarz ER, vom DJ, Reffelmann T, Reul H, Pottjhast K, Schmitz C, Minartz J, Krebs W, Harath P (1997) Disturbed intracoronary hemodynamics in myocardial bridging:early normalization by intracoronary stent placement. Circ 96: 2905–2913.

    Article  Google Scholar 

  • Ku DN, Griddens DP, Zarins CK, Glagov S (1985) Pulsatile flow and atherosclerosis in the human carotid bifurcation: positive correlation between plague location and low and oscillating shear stress. Arteriosclerosis 5: 541–567.

    Google Scholar 

  • Lee TS (1994) Steady laminar fluid flow through variable constrictions in vascular tube. Trans ASME 116: 66–71.

    Article  Google Scholar 

  • Liu H, Kawachi K(1998) Anumerical study of insect flight. J Comp Phys 146(1):124156.

    Article  MATH  Google Scholar 

  • Liu H, Yamaguchi T (1999a) Effects of pulsation and geometry on post-stenotic oscillatory flow. JSME Int J Ser C 42 (3): 613–620.

    Article  Google Scholar 

  • Liu H, Yamaguchi T (1999b) Validation in modeling of biological and physiological flows. ASME-FED’99 No. 6787.

    Google Scholar 

  • Liu H, Yamaguchi T (1999c) Computer modeling of fluid dynamics related to a myocardial bridge in a coronary. Biorheology. (in print)

    Google Scholar 

  • McDnold DA(1974) Blood flow in arteries. 2nd edition, Arnold, London.

    Google Scholar 

  • Pedley TJ, Stephanoff KD (1985) Flow along a channel with a time-dependent indentation in one wall:the generation of vorticity waves. JFM 160: 337–367.

    Article  Google Scholar 

  • Ralph ME, Pedley TJ (1988) Flow in a channel with a moving indentation. JFM 190: 87–112.

    Article  Google Scholar 

  • Ralph ME, Pedley TJ (1990) Flow in a channel with a time-dependent indentation in one wall. J Biomech Eng 112: 468–475.

    Google Scholar 

  • Sobey IJ (1985) Observation of waves during oscillatory channel flow. JFM 151: 395426.

    Google Scholar 

  • Spaan JAE (1991) Coronary Blood Flow, Kluwer Academic Publishers, the Netherlands. Tauth J, Sullebarger T (1997) Myocardial infarction associated with myocardial bridging:case history and review of the literature. Catheterization and Cardiovascular Diagnosis 40: 364–367.

    Google Scholar 

  • Tutty OR, Pedley TJ (1992) Oscillatory flow in a stepped channel. JFM 247: 179–204.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2000 Springer Japan

About this chapter

Cite this chapter

Liu, H., Yamaguchi, T. (2000). Computational Fluid Mechanics of the Vortical Flow in Blood Vessel. 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_15

Download citation

  • DOI: https://doi.org/10.1007/978-4-431-67921-9_15

  • Publisher Name: Springer, Tokyo

  • Print ISBN: 978-4-431-67989-9

  • Online ISBN: 978-4-431-67921-9

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics