A non-Newtonian fluid flow model for blood flow through a catheterized artery-Steady flow

Applied Mathematical Modelling

Volumn 31, Issue 9, 2007, Pages 1847-1864

  Sankar, D S ^a   Hemalatha, K ^b  

^a B S ABDUR RAHMAN CRESCENT INSTITUTE OF SCIENCE AND TECHNOLOGY   (India)

^b ANNA UNIVERSITY   (India)

Author keywords

Catheterized artery; Herschel Bulkley fluid; Resistance to flow; Steady flow; Yield planes

Indexed keywords

CATHETERS; FRICTION; MATHEMATICAL MODELS; NON NEWTONIAN FLOW; SHEAR STRESS; STEADY FLOW; YIELD STRESS;

CATHETERIZED ARTERY-STEADY FLOW; FRICTIONAL RESISTANCE;

BLOOD;

BLOOD; CATHETERS; FRICTION; MATHEMATICAL MODELS; NON NEWTONIAN FLOW; SHEAR STRESS; STEADY FLOW; YIELD STRESS;

EID: 34047168678     PISSN: 0307904X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.apm.2006.06.009     Document Type: Article

References (25)

1. Back L.H. Estimated mean flow resistance increase during coronary artery catheterization. J. Biomech. 27 2 (1994) 169-175
2. Wilson R.F., Johnson M.R., Marcus M.L., Alyward P.E.G., Skorton D.J., Collings S., and White C.W. The effect of coronary angioplasty on coronary flow reserve. Circulation 77 (1988) 873-885
3. Anderson H.V., Roubin G.S., Leimgruber P.P., Cox W.R., Douglas J.S., Kings Jr. S.B., and Gruentzig A.R. Measurement of transstenotic pressure gradient during percutaneous transluminal angioplasty. Circulation 73 (1986) 1223-1230
4. Back L.H., and Denton T.A. Some arterial wall shear stress estimates in coronary angioplasty. Adv. Bioeng. 22 (1992) 337-340
5. Back L.H., Kwack E.Y., and Back M.R. Flow rate-pressure drop relation in coronary angioplasty: catheter obstruction effect. J. Biomech. Eng. Trans. ASME 118 (1996) 83-89
6. Aroesty J., and Gross J.F. Pulsatile flow in small vessels - I. Casson theory. Biorheology 9 (1972) 33-42
7. Chaturani P., and Ponnalagar Samy R. Pulsatile flow of a Casson fluid through stenosed arteries with application to blood flow. Biorheology 23 (1986) 499-511
8. Karahalios G.T. Some possible effects of a catheter on the arterial wall. Med. Phys. 17 (1990) 922-925
9. Jayaraman G., and Tiwari K. Flow in a catheterized curved artery. Med. Biol. Eng. Comput. 33 (1995) 1-6
10. Dash R.K., Jayaraman G., and Metha K.N. Estimation of increased flow resistance in a narrow catheterized artery - A theoretical model. J. Biomech. 29 (1996) 917-930
11. Dash R.K., Jayaraman G., and Metha K.N. Flow in a catheterized curved artery with stenosis. J. Biomech. 32 (1999) 49-61
12. Daripa P., and Dash R.K. A numerical study of pulsatile blood flow in an eccentric catheterized artery using a fast algorithms. J. Eng. Math. 42 (2002) 1-22
13. Vajravelu K., Sreenadh S., and Ramesh Babu V. Peristaltic transport of a Herschel-Bulkley fluid in an inclined tube. Int. J. Nonlinear Mech. 40 (2005) 83-90
14. D.S. Sankar, K. Hemalatha, Pulsatile flow of Herschel-Bulkley fluid through catheterized arteries - A mathematical model, Appl. Math. Model., in press, doi:10.1016/j.apm.2006.04.012.
15. Scott Blair G.W., and Spanner D.C. An Introduction to Biorheology (1974), Elsevier Scientific Publishing Company, Amsterdam p. 51
16. Tu C., and Deville M. Pusatile flow of non-Newtonian fluids through arterial stenosis. J. Biomech. 29 7 (1996) 899-908
17. Iida N. Influence of plasma layer on steady blood flow in microvessels. Jpn. J. Appl. Phys. 17 (1978) 203-214
18. Scott Blair G.W. The success of Casson equation. Rheol. Acta 5 (1966) 184-187
19. Leung W.H., Stadius M.L., and Alderman E.L. Determinants of normal coronary artery dimensions in humans. Circulation 84 (1991) 2294-2306
20. Kapur J.N. Mathematical Models in Biology and Medicine (1992), East-West Press Pvt. Ltd., New Delhi, India pp. 368-369
21. Chaturani P., and Ponnalagar Samy R. A study of non-Newtonian aspects of blood flow through stenosed arteries and its applications in arterial diseases. Biorheology 22 (1985) 521-531
22. Merrill E.W. Rheology of human blood and some speculations on its role in vascular homeostasis. In: Sawyer P.N. (Ed). Biomechanical Mechanisms in Vascular Homeostasis and Intravascular Thrombus (1965), Appleton Century Crafts, New York
23. G. Cokelet, Biomechanics: its foundations and objections, in: Proceedings of a Symposium on Biomechanics, University of California, San Diego, Prentice-Hall, Englewood Cliff, NJ, 1970, pp. 29-31.
24. Johnson E.L., Yock P.G., Hargrave V.K., Srebro J.P., Manubens S.M., Seitz W., and Ports T.A. Assessment of severity of coronary stenosis using a Doppler catheter. Validation of a method based on the continuity equation. Circulation 80 (1989) 625-635
25. Ganz P., Harrington D.P., Gaspar J., and Barry W.H. Phasic pressure gradients across coronary and renal artery stenosis in humans. Am. Heart J. 106 (1983) 1399-1406