103
Views
23
CrossRef citations to date
0
Altmetric
Original Article

Numerical simulation of unsteady generalized Newtonian blood flow through differently shaped distensible arterial stenoses

, , &
Pages 385-399 | Published online: 09 Jul 2009

References

  • Smith F. T. The separation flow through a severely constricted symmetric tube. Journal of Fluid Mechanics 1979; 90: 725–754
  • Deshpande M. D., Giddens D. P., Mabon F. R. Steady laminar flow through modeled vascular stenoses. Journal of Biomechanics 1976; 9: 165–174
  • Back L. H., Cho Y. I., Crawford D. W., Cuffel R. F. Effect of mild atherosclerosis on flow resistance in a coronary artery casting of man. ASME Journal of Biomechanical Engineering 1984; 106: 48–53
  • Johnston P. R., Kilpatrick D. A mathematical model of paired arterial stenoses. Computers in Cardiology, K. Ripley. IEEE Computer Society Press, Chicago 1990; 229–232
  • Johnston P. R., Kilpatrick D. Mathematical modelling of flow through an irregular arterial stenosis. Journal of Biomechanics 1991; 24: 1069–1077
  • Andersson H. I., Halden R., Glomsaker T. Effect of surface irregularities on flow resistance in differently shaped arterial stenoses. Journal of Biomechanics 2000; 33: 1257–1262
  • Yakhot A., Grinberg L., Nikitin N. Modeling rough stenoses by immersed-boundary method. Journal of Biomechanics 2005; 38: 1115–1127
  • Siouffi M., Deplano V., Pelissra R. Experimental analysis of unsteady flows through a stenosis. Journal of Biomechanics 1997; 31: 11–19
  • Ku D. N. Blood flow in arteries. Annual Review of Fluid Mechanics 1997; 29: 399–434
  • Giddens D. P., Zarin C. K., Glagov S. Response of arteries to near wall fluid behaviour. Applied Mechanics Review 1990; 43: S98–S102
  • Asakura T., Karino T. Flow patterns and spatial distribution of atherosclerotic lesions in human cornnary arteries. Circulation Research 1990; 66: 1054–1066
  • Misra J. C., Chakravarty S. Flow in arteries in the presence of stenosis. Journal of Biomechanics 1986; 19: 907–918
  • Tu C., Deville M., Dheur L., Vanderschuren L. Finite element simulation of pulsatile flow through arterial stenosis. Journal of Biomechanics 1992; 25: 1141–1152
  • Nerem R. E. Vascular fluid mechanics, the arterial wall, and Arteriosclerosis. Journal of Biomechanical Engineering, Transaction ASME 1992; 114: 274–282
  • Cavalcanti S. Haemodynamics of an artery with mild stenosis. Journal of Biomechanics 1995; 28: 387–399
  • Zendehboodi G. R., Moayeri M. S. Comparison of physiological and simple pulsatile flows through stenosed arteries. Journal of Biomechanics 1999; 32: 959–965
  • Chakravarty S., Mandal P. K. Two-dimensional flow through tapered arteries under stenotic conditions. International Journal of Nonlinear Mechanics 2000; 35: 779–793
  • Long Q., Ku X. Y., Ramnarine K. V., Hoskins P. Numerical investigation of physiological realistic pulsatile flow through arterial stenosis. Journal of Biomechanics 2001; 34: 1229–1242
  • Chakravarty S., Mandal P. K., Sarifuddin. Effect of surface irregularities on unsteady pulsatile flow in a compliant artery. International Journal of Nonlinear Mechanics 2005; 40: 1268–1281
  • Chien S., Usami S., Skalak R. Blood flow in small tubes. Handbook of Physiology, M. Renkins, C. C. Michels. American Physiology Society, Bethesda 1984; 4: 217–249
  • Mann D. E., Tarbell J. M. Flow of non-Newtonian blood analog fluids in rigid curved and straight artery models. Biorheology 1990; 27: 711–733
  • Phillips W. M., Deutsch S. Toward a constitutive equation of blood. Biorheology 1975; 12: 383–389
  • Oiknine C. Rheology of human blood. Advanced Cardiovascular Physics. Karger, Basel 1983; 5: 1–5
  • Ling S. C., Atabek H. B. A nonlinear analysis of pulsatile flow in arteries. Journal of Fluid Mechanics 1972; 55: 493–511
  • Klanchar M., Tarbell J. M., Wang D. M. In vitro study of the influence of the radial wall motion on the wall shear stress in an elastic tube model of the aorta. Circulation Research 1990; 66: 1624–1635
  • Yeleswarapu K. K. Evaluation of continuum models for characterizing the constitutive behaviour of blood. University of Pittsburgh. 1996, PhD thesis
  • Patel D. J., Greenfield J. C., Fry D. L. In vivo pressure-length-radius relationship of certain blood vessels in man and dog. Pulsatile Blood Flow, E. O. Attinger. McGraw-Hill, New York 1964; 293–302
  • Carew T. E., Vaishnav R. N., Patel D. J. Compressibility of the arterial wall. Circulation Research 1968; 23: 61–68
  • Manak J. J. The two-dimensional in vitro passive stress-strain elasticity relationship for the steer thoracic aorta blood vessel tissue. Journal of Biomechanics 1980; 13: 637–646
  • Rappitsch G., Perktold K. Computer simulation of convective diffusion processes in large arteries. Journal of Biomechanics 1996; 29: 207–215
  • Stangeby D. K., Ethier C. R. Computational analysis of coupled blood-wall arterial LDL transport. Journal of Biomechanical Engineering 2002; 124: 1–8
  • Harlow F. H., Welch J. E. Numerical calculation of time-dependent viscous incompressible flow of fluid with free surface. The Physics of Fluids 1965; 8: 2182–2189
  • Layek G. C., Niyogi P., Maity M. K., Mukherjea S. Numerical study of viscous flow in a long tube with symmetrical constriction. Computational Fluid Dynamics 1996; 5: 451–470
  • Johnson G. A., Borovetz H. S., Anderson J. L. A model of pulsatile flow in a uniform deformable vessel. Journal of Biomechanics 1992; 25: 91–100
  • McDonald D. A. Blood flow in arteries2nd ed. Edward, London 1974

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.