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Acta of Bioengineering and Biomechanics

Tytuł artykułu

Investigation of blood flow rheology using second-grade viscoelastic model (Phan-Thien–Tanner) within carotid artery

Autorzy Ramiar, A.  Larimi, M. M.  Ranjbar, A. A. 
Treść / Zawartość
Warianty tytułu
Języki publikacji EN
EN Purpose: Hemodynamic factors, such as Wall Shear Stress (WSS), play a substantial role in arterial diseases. In the larger arteries, such as the carotid artery, interaction between the vessel wall and blood flow affects the distribution of hemodynamic factors. The fluid is considered to be non-Newtonian, whose flow is governed by the equation of a second-grade viscoelastic fluid and the effects of viscoelastic on blood flow in carotid artery is investigated. Methods: Pulsatile flow studies were carried out in a 3D model of carotid artery. The governing equations were solved using finite volume C++ based on open source code, OpenFOAM. To describe blood flow, conservation of mass and momentum, a constitutive relation of simplified Phan-Thien–Tanner (sPTT), and appropriate relations were used to explain shear thinning behavior. Results: The first recirculation was observed at t = 0.2 s, in deceleration phase. In the acceleration phase from t = 0.3 s to t = 0.5 s, vortex and recirculation sizes in bulb regions in both ECA and ICA gradually increased. As is observed in the line graphs based on extracted data from ICA, at t = 0.2 s, τyy is the maximum amount of wall shear stress and τxy the minimum one. The maximum shear stress occurred in the inner side of the main branch (inner side of ICA and ECA) because the velocity of blood flow in the inner side of the bulb region was maximum due to the created recirculation zone in the opposite side in this area. Conclusions: The rheology of blood flow and shear stress in various important parts (the area that are in higher rates of WSS such as bifurcation region and the regions after bulb areas in both branches, Line1–4 in Fig. 7) were also analyzed. The investigation of velocity stream line, velocity profile and shear stress in various sections of carotid artery showed that the maximum shear stress occurred in acceleration phase and in the bifurcation region between ECA and ICA which is due to velocity gradients and changes in thinning behavior of blood and increasing strain rate in Newtonian stress part.
Słowa kluczowe
PL tętnica szyjna   model lepkoplastyczny   przepływ pulsujący   naprężenie ścinające   OpenFOAM  
EN carotid artery   viscoelastic model   pulsatile flow   shear stress   OpenFOAM  
Wydawca Oficyna Wydawnicza Politechniki Wrocławskiej
Czasopismo Acta of Bioengineering and Biomechanics
Rocznik 2017
Tom Vol. 19, nr 3
Strony 27--41
Opis fizyczny Bibliogr. 29 poz., rys., wykr.
autor Ramiar, A.
  • Faculty of Mechanical Engineering, Noshirvani University of Technology, Babol, Iran
autor Larimi, M. M.
autor Ranjbar, A. A.
  • Faculty of Mechanical Engineering, Noshirvani University of Technology, Babol, Iran
[1] ADESANYA S.O., MAKINDE O.D., Irreversibility analysis in a couple stress film flows along an inclined heated plate with adiabatic free surface, Physica A, 432, 2015, 222–9.
[2] BERNABEU M.O., NASH R.W., GROEN D., CARVER H.B., HETHERINGTON J., KRUGER T., COVENEY P.V., Impact of blood rheology on wall shear stress in a model of the middle cerebral artery, Interface Focus, 2013, 3, 20120094.
[3] BOTNAR R.H., RAPPITSCH G., SCHEIDEGGER M.B., LIEPSCH D., PERKTOLD K., BOESIGER P., Hemo-dynamics in the carotid artery bifurcation: a comparison between numerical simulations and in vitro MRI measurements, Journal of Biomechanics, 2000, 33, 137–144.
[4] CAMPO-DEANO L., OLIVEIRA M.S.N., PINHO F.T., A review of computational hemodynam-ics in middle cerebral aneurysms and rheological models for blood flow, Appl. Mech. Rev., 2015, 67, 1–16.
[5] CHAICHANA T., ZHONGHUA S., JEWKES J., Computational fluid dynamics analysis of the effect of plaques in the left coronary artery, Comput. Math. Methods Med., 2012, 504367.
[6] CIBIS M., POTTERS W.V., SELWANESS M., GIJSEN F.J., FRANCO O.H., ARIAS L. ANDRES M., DE BRUIJNE M., HOFMAN A., VAN DER LUGT A., NEDERVEEN A.J., WENTZEL J.J., Relation between wall shear stress and cardiol artery wall thickening MRI versus CFD, Journal of Biomechanics, 2016, 49, 5, 735–741.
[7] CAMPO-DEANO C., DULLENS R.P.A., AARTS D.G.A.L., PINHO F.T., OLIVEIRA M.S.N., Viscoelasticity of blood and viscoelastic blood analogues for use in polydymethylsiloxone in vitro models of the circulatory system, Biomicrofluidics, 2013, 7, 034102.
[8] FIELDMAN J.S., PHONG D.H., AUBIN Y.S., VINET L., Rheology, Biology and Mechanics of Blood Flows, Part II: Mechanics and Medical Aspects, Springer, 2007, 115–123.
[9] HAYAT T., IQBAL M., YASMIN H., ALSAADI F., Hall effects on peristaltic flow of couple stress fluid in an inclined asymmetric channel, Int. J. Biomath., 2014, 7, 1–34.
[10] JOZWIK K., OBIDOWSKI D., Numerical simulations of the blood flow through vertebral arteries, Journal of Biomechanics, 2009, 43, 85–177.
[11] KARIMI S., DABAGH M., VASANA P., DADVAR M., DABIR B., JALALI P., Effect of rheological models on the hemodynamics within human aorta: CFD study on CT image-based geometry, Journal of Non-Newtonian Fluid Mechanics, 2014, 207, 42–52.
[12] LARIMI M.M., RAMIAR A., RANJBAR A.A., Numerical simulation of magnetic nano-particles targeting in a bifurcation vessel, J. Magn. Magn. Mater, 2014, 362, 58–71.
[13] LARIMI M.M., RAMIAR A., RANJBAR A.A., Magnetic nanoparticles and blood flow behavior in non-Newtonian pulsating flow within the carotid artery in drug delivery application, Journal of Engineering in Medicine, 2016, DOI:10.1177/0954411916656663.
[14] LASSALINE J.V., MOON B.C., A computational fluid dynamics simulation study of coronary blood flow affected by graft placement, Inter. Cardiovasc. Thorac. Surg., 2014, 1–5.
[15] LIU X., FAN Y., DENG X., ZHAN F., Effect of non-Newtonian and pulsatile blood flow on mass transport in the human aorta, J. Biomech., 2011, 44, 1123–1131.
[16] MAKINDE O.D., Asymptotic approximations for oscillatory flow in a tube of varying cross section with permeable isothermal wall, Rom. J. Phys., 2007, 52(1–2), 59–72.
[17] MEKHEIMER K.S., Peristaltic flow of a couple stress fluid in an annulus: application of an endoscope, Physica A, 2008, 387, 2403–2415.
[18] MISRA J.C., PANDEY S.K., Peristaltic transport of blood in small vessels: study of a mathematical model, Comput. Math. Appl., 2002, 43, 1183–1193.
[19] MORBIDUCCI U., PONZINI R., GALLO D., BIGNARDI C., RIZZO G., Inflow boundary conditions for image-based computational hemodynamics: impact of idealized versus measured velocity profiles in the human aorta, J. Biomech., 2013, 46, 102–109.
[20] BURATTI P., Analysis of Doppler blood flow velocity in carotid arteries for the detection of atherosclerotic plaques, PhD Thesis Politecnico di Milano, 2011.
[21] PRAKASH O., MAKINDE O.D., SINGH S.P., JAIN N., KUMAR D., Effects of stenoses on non-Newtonian flow of blood in blood vessels, Int. J. Biomath., 2015, 8(1), 1550010, DOI:10.1142/S1793524515500102.
[22] PRAKASH J., MAKINDE O.D., Radiative heat transfer to blood flow through a stenotic artery in the presence of magnetic field, Lat. Am. Appl. Res., 2011, 41(3), 273–7.
[23] REDDY J.V.R., SRIKANTH D., MURTHY S.K., Mathematical modelling of couple stresses on fluid flow in constricted tapered artery in presence of slip velocity-effects of catheter, Appl. Math. Mech., 2014, 35, 947–58.
[24] SINHA A., MISRA J.C., MHD flow of blood through a dually stenosed artery: effects of viscosity variation, variable hematocrit and velocity slip, Can. J. Chem. Eng., 2014, 92, 23–31.
[25] SUD A.K., SEKHON G.S., MISHRA R.K., Pumping action on blood by a magnetic field, Bull. Math. Biol., 1977, 39, 385–390.
[26] SRIVASTAVA L.M., SRIVASTAVA V.P., Peristaltic transport of blood: Casson model II, J. Biomech., 1984, 17, 821–829.
[27] TORTORA G.J., DERRICKSON B., The Cardiovascular System: Blood Vessels and Hemodynamics, [in:] G.J. Tortora, B. Derickson (eds.), Principles of Anatomy and Physiology, 13th ed., John Wiley & Sons, 2012, p. 8216.
[28] TORTORA G.J., DERRICKSON B., The Cardiovascular System: Blood Vessels and Hemodynamics, Laminar Flow Analysis, John Wiley & Sons, 2012.
[29] WILDE D.D., TRACHET B., MEYER G.D., SEGERS P., The influence of anesthesia and fluid–structure interaction on simulated shear stress patterns in the carotid bifurcation of mice, Journal of Biomechanics, 2016, 49, 13, 2741–2747.
Kolekcja BazTech
Identyfikator YADDA bwmeta1.element.baztech-a4e8af73-f52c-45bb-bd1d-4e1974fbecd0
DOI 10.5277//ABB-00775-2016-05