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The oscillatory flow of an incompressible couple stress fluid through an annulus with mild constriction at the outer wall is considered. The mean pressure drops and the mean wall shear stress are calculated across the constricted region. The steady streaming effect on the flow is presented. The variations in the mean pressure drop and wall shear stress with the size of the catheter, the velocity of the catheter and couple stress fluid parameter, are studied through graphs.
Słowa kluczowe
Czasopismo
Rocznik
Tom
Strony
137--137
Opis fizyczny
–-152, Bibliogr. 25 poz.
Twórcy
autor
autor
Bibliografia
- 1. R. Roose, P.S. Lykodis, The fluid mechanics of the ureter with an inserted catheter, J. Fluid Mech., 46, 625, 1971.
- 2. D.A. MacDonald, Pulsatile flow in a catheterized artery, J. Biomech., 19, 239, 1986.
- 3. G.T. Karahalios, Some possible effects of a catheter on the arterial wall Med. Phys., 17, 922, 1990.
- 4. Prabir Daripa, K. D. Ranjan, A numerical study of pulsatile blood flow in an eccentric artery using a fast algorithm, Journal of Engineering Mathematics, 42, 1, 2002.
- 5. J.B. Shukla, R.S. Parihar, B.R.P. Rao, Effects of stenosis on non-Newtonian flow of the blood in an artery, Bull. Math. Bio., 42, 283, 1980.
- 6. D. Philip, Peeyush Chandra, Flow of Eringen fluid (simple microfluid) through an artery with mild stenosis, Int. J. Engng Sci., 34, 879, 1996.
- 7. R.K. Dash, G. Jayaraman, K.N. Mehta, Estimation of increased flow resistance In a narrow catheterized artery – a theoretical model, J. Biomech., 29, 917, 1996.
- 8. D.S. Sankar, K. Hemalatha, A non-Newtonian flow model for blood flow through a catheterized artery-steady flow, Applied Mathematical Modelling, 2006, doi:10.1016/j.apm.2006.06.009.
- 9. D.S. Sankar, U. Lee, Two-fluid Herschel–Bulkley model for blood flow in catheterized arteries, J. Mech. Sci. Tech., 22, 1008–1018, 2008.
- 10. V.P. Srivastava, R. Srivastava, Particulate suspension blood flow through a Barrow catheterized artery, Computers Math. Appl., 58, 227–238, 2009.
- 11. V.P. Srivastava, R. Rastogi, Blood flow through a stenosed catheterized artery: Effects of hematocrit and stenosis shape, Computers Math. Appl., 59, 1377–1385, 2010.
- 12. D.S. Sankar, U. Lee, Pulsatile flow of two-fluid nonlinear models for blood flow through catheterized arteries: a comparative study, Math. Prob. Engng., 2010, 1–22, 2010.
- 13. V.K. Stokes, Couple stresses in fluids, Phys. Fluids, 9, 1710, 1966.
- 14. K.C. Valanis, C.T. Sun, Poiseuille flow of a fluid with couple stresses with applications to blood flow, Biorheology, 7, 85, 1970.
- 15. A.C. Eringen, Theory of micropolar fluids, J. Math. Mech., 16, 1–16, 1966.
- 16. S.C. Cowin, The theory of polar fluids, Advances in Applied Mechanics, 14, 279–347, 1974.
- 17. P. Chaturani, V.S. Upadhya, Pulsatile flow of a couple stress fluid through circular tubes with applications to blood flow, Biorheology, 15, 3–4, 193, 1978.
- 18. P. Sinha, C. Singh, Effects of couple stresses on the blood flow through an artery with mild stenosis, Biorheology, 21, 3, 303, 1984.
- 19. L. M. Srivastava, Flow of couple stress fluid through stenotic blood vessels, J. Biomech., 18, 7, 479, 1985.
- 20. D. Srinivasacharya, D. Srikanth, Effect of Couple Stresses on the flow through constricted annulus, Comptes Rendus Mecanique, 336, 820–827, 2008.
- 21. H. Schlichting, Boundary–Layer Theory, Mcgraw Hill, 1979.
- 22. J.T. Stuart, Double boundary layers in oscillatory viscous flow, J. Fluid Mech., 24, 4, 673–687, 1966.
- 23. N. Riley, Oscillatory viscous flows. Review and extention, J. Inst. Maths. Applics., 3, 419–434, 1967.
- 24. P. Hall, Unsteady viscous flow in a pipe of solely varying cross-section, J. Fluid Mech., 64, 2, 209–226, 1974.
- 25. A. Sarkar, G. Jayaraman, Correction to flow rate – pressure drop relation in coronary angioplasty – steady streaming effect, J. Biomech., 31, 781–791, 1998.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BAT4-0010-0025