Prediction of Pressure Difference and Velocity Profile in Steady
Flow through Axi-Symmetric Plaque Deposited Arteries
Keywords: Numerical Simulation, Flow of Blood, Arteries, Newtonian.
Mehran University Research Journal of Engineering & Technology
Volume 31 , Issue 4
Muhammad Anwar Solangi , Rafiq Ahmed Memon , Ahsanullah Baloch ,
References
1. |
Fung, Y.C., “Biomechanics: Mechanical Properties of
Living Tissues”, Springer Verlag, 1993. |
2. |
Liu, Z., Gang, X., Chen, Y., Chen, Z. and Qin, K., "An
Analysis Model of Pulsatile Flow in Arteries", Journal of
Applied Mathematics, Volume 24, pp. 230-240, 2003. |
3. |
Bakirtas, I., and Antar, N., "Evolution Equations for
Nonlinear Waves in a Tapered Elastic Tube Filled with a
Viscous Fluid", International Journal of Engineering
Science, Volume 41, pp. 1163-1173, 2003. |
4. |
Kouhi, E., Morsi, M.S., and Masood, S.H.,
"Haemodynamic Analysis of Coronary Artery Bypass
Grafting in Non-Linear Deformable Artery and
Newtonian Pulsatile Blood Flow", Journal of Engineering
in Medicine, Volume 222, pp. 1273-1287, 2008. |
5. |
Ahmed, S.A., "An Experimental Investigation of Plustile
Flow through a Smooth Constriction", Experimental
Thermal and Fluid Science, Volume 17, pp. 309-318,
1998. |
6. |
Siouffi, M., Deplano, V., and Pelissier, R., "Experimental
Analysis of Unsteady Flows through a Stenosis", Journal
of Biomech, Volume 31, pp. 11-19, 1998. |
7. |
Stegiopulos, N., Spiridon M., Pythoud, F., and Meister,
J.J., "Numerical Study of Pulsating Flow through a
Tapered Artery with Stenosis", Journal of Biomench,
Volume 29, pp. 29-40, 1996. |
8. |
Long, Q., Xu, X.Y., Ramnarine, K.V., and Hoskins,
P., "Numerical Investigation of Physiologically Realistic
Pulsatile Flow through Arterial Stenosis", Journal of
Biomech, Volume 34, pp. 1229-1242, 2001. |
9. |
Tu, C., and Deville, M., "Numerical Analysis of Flow
through a Severely Stenotic Carotid Artery Bifurcation",
Journal of Biomech, Volume 29, pp. 899-908, 1996. |
10. |
Ishikawa, T., Guimaraes, L.F.R., Oshima, S., and Yamane,
R., "Effect of Non-Newtonian Property of Blood on
Flow through a Stenosed Tube", Fluid Dynamics Research,
Volume 22, pp. 251-264, 1998. |
11. |
Ikbal, Md. A., Chakravarty, S., and Mandal, P.K.,
"Unsteady Response of Non-Newtonian Blood Flow
through a Stenosed Artery in Magnetic Field", Journal of
Computational and Applied Mathematics, Volume 230,
pp. 243-259, 2009. |
12. |
Mekheimer, Kh.S., and Elkot, M.A., "The Micropolar
Fluid Model for Blood Flow through a Stenotic Arteries",
International Journal of Pure and Applied Mathematics,
Volume 36, pp. 393-405, 2008. |
13. |
Stroud, J.S., Berger, S.A., and Saloner, D., "Influence of
Stenosis Morphology on Flow through Severely Stenotic
Vessels: Implications for Plaque", Journal of Biomech,
Volume 33, pp. 443-455, 2000. |
14. |
Andersson, H.I., Halden, R., and Glomsaker, T.,
"Modeling Fluid Mechanics in Individual Human Carotid
Arteries", Journal of Biomech, Volume 33,
pp. 1257-1267, 2000. |
15. |
Moayeri, M.S., and Zendehbudi, G.R., "Effects of Elastic
Property of the Wall on Flow Characteristics through
Arterial Stenoses", Journal of Biomech, Volume 36,
pp. 525-536, 2003. |
16. |
Mandal, D.K., Manna, N.K., and Chakrabarti, S., "A
Numerical Model Study of Steady Flow through Bell
Shaped Stenosis with and without Symmetry",
International Journal of Experimental and Computational
Biomechanics, Volume 1, pp. 306-331, 2010. |
17. |
Donea, J., "A Taylor-Galerkin Method for Convective
Transport Problems", International Journal of Numerical
Methematics Engineering, Volume 20, pp. 101-119,
1984. |
18. |
Cuvelier, C., Segal, A., and Van Steenhoven, A.A., “Finite
Element Methods and Navier-Stokes Equations”,
D. Reidol, Dordrecht, Holland, 1986. |
19. |
Johnson, C., “Numerical Solution of Partial Differential
Equations by the Finite Element Method”, John Wiley
and Sons, New York, 1990. |
|
|
|