NUMERICAL AND EXPERIMENTAL INVESTIGATION OF FLOW FIELD INSIDE ARTERIES AND VEINS
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Abstract
Numerical and experimental investigation of blood flow through stenotic and tapered arteries under pulsation condition are studied. Blood is considered as non-Newtonian fluid. Artery is considered as a rigid wall tapered vessel with different tapering angles (0.5o
, 1o ,1.5o ), as well as, straight vessel for comparison. The governing equations have been written in stream- vorticity method
and are transformed into generalized coordinate system. The time marching has been employed to solve the resulting partial differential equations. The experimental work carried out to examine pressure in vessel and pressure drop across the stenosis under pulsation condition. Differential pressure transducer coupled to the data acquision card type PCI-911DG, which is built in computer
was used to record pressure data. The results showed that, as a tapering angle increases (0.5o , 1o , 1.5o ) both wall shear stress and
pressure drop increasing, also as stenosis increases (50%, 60%, 75%) both wall shear stress and pressure drop increasing. These behaviors are found in literature, pressure drop is used to compare experimental data and numerical results, which indicates agreement. As the distance into taper section increased both wall shear stress and pressure drop are increased, as well as, both wall shear stresses and pressure drop increased with inlet flow rate increased, while decreased with inlet diameter increase.
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References
Agrawal, A.K. and Sengupta S., 1989. "Laminar flow and heat transfer in blocked annuli", J. Numerical Heat Transfer, Part A, Vol.15, PP.489-508.
Aimen, M. A. B., 2005,"Wear monitoring turning processes using vibration and strain measurements", M.Sc.Thesis, University of Baghdad.
Ali, L. Kaeed. 2002,"Numerical study of forced convection over bank of tubes by using body fitted coordinates system "M. Sc .Thesis, University of Technology.
Anderson,D.Jr." Computional Fluid Dynamics: the Basics with Applications" Mc Graw –Hill,Inc.
Anderson, D. A., Pletcher, R.H. and Tannihill, J. C. 1984 "Computational Fluid Mechanics and Heat Transfer",Hemisphere Publishing Corporation.
Bapat , A.2005 " Predicting stenosis in blood vessels " on web. Site
Bramley, J.S., and Sloan, D.M., 1987,"Numerical solution for two –dimensional flow in a branching channel using boundary – fitted coordinates", J. Computers and Fluids, vol. 15, No.3, pp. 297 – 311.
Cebral, J. R., Yim, P. J., Lohner, R., Soto, O., and Choyke, P.L.,2002, " Blood flow modeling in carotid arteries with computational fluid dynamics and MR. Imaging", Academic Rediology , Vol. 9 . No.11, pp. 1286-1299.
Chen, X. May 2003, "A nonlinear viscoelastic Mooney-Rivlin thin wall model for unsteady flow in stenotic arteries", M .Sc .Thesis, Worcester Polytechnic Institute.
Cheng, L.C., Robertson, J.M., and Clark, M.E., 1974,"Calculation of plane pulsatile flow past wall obstacles", J .Computers and Fluids, Vol.2, pp. 363 – 380.
Cox, J.T, Hoften, J. D.A., and Hwang, H.C., 1979,"Investigation of a pulsatile flow field downstream from a model stenosis", J. Biomechanical Engineering, vol. 101, pp. 141–150.
Fletcher, C.A.J., 1987,"ComputationalTechniquesfor Fluid Dynamics 1 ", Springer–Verlag series
Fletcher,C.A.J., 1987,"Computational Techniques for Fluid Dynamics 2 ", Springer – Verlag series.
Guo – Tao liu, Wang, X.J., Ai. B. Q, and Liu, L. G., 2004, "Numerical study of pulsating flow through a tapered artery with stenosis", Chinese J. of Physics, Vol. 42, No. 4 – I.
Hun Jung, Choi, J.W., and Park, C. G., 2004,"Asymmetric flows of non-Newtonian fluids in symmetric stenosed artery", Korea – Australia journal, Vol. 16, No.2, pp. 101-108.
IATRIDIS, M.I., 1987,"A theoretical study of buoyancy driven circulation in a liquid drop ", M.Sc. Thesis, University of Liverpool
Kimmel, E. and Dinnar, V., 1983,"Pulsatile flow in tapered tubes: a model of blood flow with large disturbances", J. Biomechanical Engineering, Vol.105, pp.112–119
Miller, R.W., 1983,"Flow Measurement Engineering Hand Book", Mc Graw – Hill Book Company
Nallasamy, M.1986,"Numerical solution of the separating flow due to an obstruction" J. Computers &Fluids, Vol.14, No. 1, PP.59-68
Ojha, m., Cobbold, C., Johnston, K. W., and Hummel, R.L., 1989."Pulsatile flow through constricted tubes: An experimental investigation using photo chromic tracer methods",J. Fluid Mech., Vol.203 , pp.173-197.
Pontrelli, G., 1999,"Blood flow through an axisymmetric stenosis", Instituto per le applicazioni Del Calcolo–CNR. Viale Del Policlinico,137, 00161 Roma, Italy.
Porenta, G., Young, D.F., and Rogge,T.R., 1985," A finite – element model blood flow in arteries including taper, branches, and obstructions", J. Biomechanical Engineering Rose, M.L.J., February 1998,"Development of a muscle powered blood pump: fluid mechanic considerations", Ph .D. Thesis University of Glasgow, Department of Cardiac Surgery, Faculty of Medicine.
Taylor, C. A., Hughes, T. J. R., and Zarins, C.K., 1998, "Finite element modeling of three – dimensional pulsatile flow in the abdominal aorta: Relevance to atherosclerosis" Annals of Biomedical Engineering. Vol. 26, pp. 975 – 987.
Varghese, S.S., and Frankel, S. H., 2003,"Numerical modeling of pulsatile turbulent flow in stenotic vessels ',J. of Biomechanical Engineering , Vol. 125 , pp. 445 – 460 .
Walburn, F. J., and Stein, P.D., 1981, "Effect of vessel tapering on the transition to turbulent flow:Implications in the cardiovascular system", J. Biomechanical Engineering, Vol. 103, pp.116 - 120.
Young, D.F., 1979,"Fluid mechanics of arterial stenosis", J. Biomechanical Engineering, Vol.101,pp. 157 – 175.