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New Numerical and Theoretical Approaches to Study the Blood Flows at Microcirculation Level


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DOI: https://doi.org/10.15866/ireme.v8i6.2725

Abstract


The mean objective of the present study is to establish a numerical code to simulate the blood flow considered as non Newtonian fluid through deformable tubes. Using an implicit finite volumes method to solve the local and integral equations systems and the equation of the tube, we determine the global and the local quantities for the flow. This study considered as a step in the modelling of flow in blood vessels, may also contribute to other important fields such as molten polymers flow.
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Keywords


Non Permanent Flow; Elastic Tube; Ostwald Fluid; Microcirculation; Finite Volumes Method

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References


H. Buthaud, Non-linear and two-dimensional analysis of the blood flow in the aorta model. Thèse de Docteur-Ingénieur, Université de Poitiers, 1977.

K. Gueraoui, A. Hammoumi and G. Zeggwagh. Numerical solution of pulsatile flow of an inelastic fluid in a viscoelastic and anisotropic pipe. La Houille Blanche, (7) : 13-20, 1998a.

P. Lambossy. Forced Oscillations of a non compressible and viscoelastic liquid in an horizontal tube: calcul de la force de frottement. Helvetica Physica Acta, 25 : 371-386, 1952.

J.L.M. Poiseuille. Research into the causes of the movement of blood in the capillaries, . C. R. Acad. Sci, Paris, 7, 1835.

A.R. Rakotomalala and D. Bellet. Transient and periodic Flow of non-Newtonian fluids in tapered pipes. J. Phys. 1: 87-102, 1991.

P. Snabre, M. Bitbol and P. Mills. Cell disaggregation behavior in shear flow. Biophys. J., 51: 795-807, 1987.
http://dx.doi.org/10.1016/s0006-3495(87)83406-9

M. Zagzoule, J. Khalidnaciri, J. Mauss. Unsteady wall shear-stress in a distensible tube. J. Biomechanics, 24 (6): 435-439, 1991.
http://dx.doi.org/10.1016/0021-9290(91)90031-h

G. Zeggwagh. Theoretical and experimental modeling of hemodynamics in microcirculation.Thèse de Doctorat ès-Sciences, I. N. P Toulouse, 1988.

J. Nougier, Numerical methods, Masson, Paris, 1989.

A.N. Findikakis, J.O. Leckie, Numerical simulation of gas flow in sanitary landfills, Journal of Environmental Engineering, ASCE 105, 1979, 927–945.

M. Taibi, K. Gueraoui, S. Chtioui, A. Echchelh, Y. Haddad, M. kerroum and G. Zeggwagh, Numerical simulation of unsteady flow of polymer melts in conical pipes, Physical and chemical News, 42(2008), 77-83.

K. Gueraoui, M. Taibi, A. Ghouli, A. Mrabti, G. Zeggwagh, Y. M. Haddad, Pulsating Flows of Inelastic Fluids in Anisotropic Porous Viscoelastic Tubes, (2008) International Review of Mechanical Engineering (IREME), 2 (3), pp. 506-512.

K. Gueraoui, A. Hammoumi and G. Zeggwagh, Theoretical modeling of pulsed flows non-Newtonian fluids in porous and anisotropic viscoelastic pipes, Acad Sci, 2(1998), 561-568.

R. Chammami, M. Taibi, M. Hami, H. Amar, M. Kerroum, K. Gueraoui and G. Zeggwagh, Influence of the nature of the wall in a pulsating fluid flow pattern biphasic, Application to microcirculation, La Houille Blanche, 3(2001),18-24.
http://dx.doi.org/10.1051/lhb/2001030

M. Taibi, R. Chammami, M. Kerroum, A. El Hammoumi and G. Zeggwagh, Pulsed flow modeling in two-phase in deformable or rigid pipes, ITBM RBM, 23(2002), 149-158.
http://dx.doi.org/10.1016/s1297-9562(02)80012-2


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