A power-law model of blood flow through a tapered overlapping stenosed artery

Applied Mathematics and Computation

Volumn 195, Issue 2, 2008, Pages 669-680

  Ismail, Zuhaila ^a   Abdullah, Ilyani ^a   Mustapha, Norzieha ^a   Amin, Norsarahaida ^a  

^a UNIVERSITI TEKNOLOGI MALAYSIA   (Malaysia)

Author keywords

Blood flow; Generalized power law model; Overlapping stenosis; Tapered artery

Indexed keywords

BLOOD PRESSURE; DIFFERENCE EQUATIONS; EQUATIONS OF MOTION; LAMINAR FLOW; MATHEMATICAL MODELS; PULSATILE FLOW; SHEAR STRESS; TWO DIMENSIONAL; VISCOUS FLOW;

AXISYMMETRIC FLOWS; BLOOD FLOW; FINITE DIFFERENCE SCHEMES; GENERALIZED POWER LAW MODELS; OVERLAPPING STENOSIS; TAPERED ARTERY; TAPPERING EFFECTS; VISCOUS SHEAR STRESS;

NON NEWTONIAN FLOW;

EID: 37349016168     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2007.05.014     Document Type: Article

References (25)

1. Moayeri M.S., and Zendehboodi G.R. Effect of elastic property of the wall on flow characteristics through arterial stenosis. Journal of Biomechanics 36 (2003) 525-535
2. Chakravarty S. Effect of stenosis on the flow behaviour of blood in an artery. International Journal of Engineering Science 25 (1987) 1003-1018
3. Chakravarty S., Datta A., and Mandal A.K. Analysis of nonlinear blood flow in a stenosed flexible artery. International Journal of Engineering Science 33 (1995) 1821-1837
4. Chakravarty S., Datta A., and Mandal A.K. Effect of body acceleration on unsteady flow of blood past a time-dependent arterial stenosis. Mathematical and Computer Modelling 24 (1996) 57-74
5. Chakravarty S., Mandal P.K., and Mandal A. Mathematical model of pulsatile flow in a distensible aortic bifurcation subject to body acceleration. International Journal of Engineering Science 38 (2000) 215-238
6. Chakravarty S., and Mandal P.K. An analysis of pulsatile flow in a model aortic bifurcation. International Journal of Engineering Science 35 (1997) 409-422
7. Taylor C.A., Hughes T.J.R., and Zarins C.K. Finite element modeling of blood flow in arteries. Computer Methods in Applied Mechanics and Engineering 158 (1998) 155-196
8. Lee K.W., and Xu X.Y. Modelling of flow and wall behaviour in a mildly stenosed tube. Medical Engineering & Physics 24 (2002) 575-586
9. Mandal P.K. An unsteady analysis of non-newtonian blood flow through tapered arteries with a stenosis. International Journal of Non-Linear Mechanics 40 (2005) 151-164
10. Chakravarty S., and Mandal P.K. A nonlinear two-dimensional model of blood flow in an overlapping arterial stenosis subjected to body acceleration. Mathematical and Computer Modelling 24 (1996) 43-58
11. Chakravarty S., and Mandal P.K. Two-dimensional blood flow through tapered arteries under stenotic conditions. International Journal of Non-Linear Mechanics 35 (2000) 779-793
12. Jeffords J.V., and Knisley M.H. Concerning the geometric shapes of arteries and arteriols. Angiology 7 (1956) 105-136
13. Bloch E.H. A quantitative study of the themodynamics in the living microvascular system. American Journal of Anatomy 110 (1962) 125-153
14. Enderle J., Susan B., and Bronzino B. Introduction to Biomedical Engineering (2000), Academic Press, London
15. Gijsen F.J.H., Allanic E., Vosse F.N., and Janssen J.D. The influences of the non-newtonian properties of blood on the flow in large arteries: unsteady flow in a 90° curved tube. Journal of Biomechanics 32 (1999) 705-713
16. Ishikawa T., Guimaraes L.F.R., Oshima S., and Yamone R. Effect of non-newtonian property of blood on flow through a stenosed tube. Fluid Dynamic Research 22 (1998) 251-264
17. Tu C., and Deville M. Pulsatile flow of non-newtonian fluids through arterial stenoses. Journal of Biomechanics 29 (1996) 899-908
18. Manica R., and Bortoli A.L. Simulation of incompressible non-newtonian flows through channels with Suddens expansion using the power-law model. Tema - Tendências em Matemática Aplicada e Computacional 4 (2003) 333-340
19. Bird R.B., Stewart W.E., and Lightfoot E.N. Transport Phenomena (1960), Wiley International Edition
20. Burton A.C. Physiology and Biophysics of the Circulation. Introductory Text (1966), Year Book Medical Publisher, Chicago
21. Pedley T.J. The Fluid Mechanics of Large Blood Vessels (1980), Cambridge University Press, London
22. Gerard J.H., and Taylor L.A. Mathematical model representing blood flow in arteries. Medical & Biological Engineering & Computing 15 (1977) 611-617
23. Chakravarty S., and Mandal P.K. Mathematical modelling of blood flow through an overlapping arterial stenosis. Mathematical and Computer Modelling 19 (1994) 59-70
24. Misra J.C., and Pal B. A mathematical model for the study of the pulsatile flow of blood under an externally imposed body acceleration. Mathematical and Computer Modelling 29 (1999) 89-106
25. Chakravarty S., and Sannigrahi A.K. A nonlinear mathematical model of blood flow in a constricted artery experiencing body acceleration. Mathematical and Computer Modelling 29 (1999) 9-25