Main Article Content
Dynamics of the blood flow play an important role in the development and treatment of cardiovascular diseases. In recent decades, blood flow simulation has been widely used to better understand the symptomatic spectrum of different diseases, in order to improve existing or develop new therapeutic techniques. Numerical simulation for biomagnetic fluid (such as blood) flow through a tube with rectangular cross section under the influence of magnetic field is studied in this work. Blood considered as a magnetic and incompressible fluid. The magnetic field effects on the blood stream in a tube are created by a permanent magnet outside the tube. The equations of motion which describe the flow is governed by the combination of magnetic equations for permanent magnet and Navier-Stokes equation for fluid (blood) were solved numerically by using COMSOL Multiphysics® Modeling Software.
Bruno G, Vergara C. Computational comparison between Newtonian and non-Newtonian blood rheologies in stenotic vessels’’. Biomedical Technology, Springer, Cham. 2018;169-183.
Ismail F, Tamagawa M, Fazli Abdul Azi A, Wiriadidjaya S, Azrif Basri A, Arifin Ahmad K. Computational fluid dynamics study of blood flow in aorta using open FOAM. Journal of Advanced Research in Fluid Mechanics and Thermal Sciences. 2018;43: 81-89.
Mohammed Abdul KS, Raghuvir Pai AA, Arifin K, Ahmad Z, Prakashini K. Haemodynamics study in subject-specific abdominal aorta with renal bifurcation using CFD-A case study’. Journal of Advanced Research in Fluid Mechanics and Thermal Sciences. 2018;50(2):118-12.
Johny C, Pai R, Zuber M, Ahmad Z. Numerical study of haemodynamics behaviour in normal and single stenosed renal artery using fluid-structure interaction’. Journal of Advanced Research in Fluid Mechanics and Thermal Sciences. 2018;51(1):91-98.
Hamdipoor V, Afzal MR, Yoon J, Haptic-based manipulation scheme of magnetic nanoparticles in a multi-branch blood vessel for targeted drug delivery; 2018.
Rukshin I, Mohrenweiser J, Yue P, Afkhami S. ’Modeling superparamagnetic particles in blood flow for applications in magnetic drug targeting’. Fluids; 2017.
Alias NB, Ali A, Taha A, Abdul Hannan S, Aysh Dahwi A. ’Finite element simulation, characterization and transportation of magnetic nanoparticles under the impact of magnetic field in blood vessels’. Global Journal of Pure and Applied Mathematics. 2017;13(11):7771-7784.
Voronin D, Sindeeva O, Kurochkin M, Mayorova O, Fedosov I, Semyachkina-Glushkovskaya O, Gorin D, Tuchin V, Sukhorukov G. In vitro and in vivo visualization and trapping of fluorescent magnetic microcapsules in a blood stream. ACS Applied Materials & Interfaces. 2017; 9(8):6885–6893.
Gonzaga S, Oliveira C, Simões A. Computational fluid dynamics in abdominal aorta bifurcation: Non-Newtonian versus Newtonian blood flow in a real case study. Computer Methods in Biomechanics and Biomedical Engineering. 2017;20:822-831.
Nakagawa H, Ohuchi M. Virtual blood-flow controlling system: Optimization of human bioactivity under exposure to magnetic fields. IEEE Trans. Magn. 2016;52(7): 5000904.
Tzirtzilakis EE, Sakalis VD, Kafoussias NG, Hatzikonstantinou PM. Biomagnetic fluid flow in a 3D rectangular duct.’ International Journal for Numerical Methods in Fluids. 2004;44(12):1279–1298.
Tzirtzilakis EE. Biomagnetic fluid flow in a channel with stenosis. Physica D. 2008; 237:66-81.
Tzirakis K, Papaharilaou Y, Giordano D, Ekaterinaris J. Numerical investigation of biomagnetic fluids in circular ducts.’’ International Journal for Numerical Methods in Biomedical Engineering. 2014; 30(3):297–317.
Misra JC, Shit GC. Effect of magnetic field on blood flow through an artery: a numerical model. Journal of Computational Technologies (Russia). 2007;12:4.
Probst R, et al. Planar steering of a single ferrofluid drop by optimal minimum power dynamic feedback control of four electromagnets at a distance. Journal of Magnetism and Magnetic Materials. 2011;323(7):885-896.
Alexandru M, Mihaela M. Magnetic field–flow interactions in drug delivery through an arterial system. Rev. Roumaine Sci. Techn. Electrotech. et Energ. 2011;56(2): 199-208.
Wagh DK, Wagh SD. Blood flow considered as magnetic flow. Proceeding of Physiology of Fluid Dynamics III. 1992; 311–315.
Gupta AK. Finite element Galerkin’s scheme for flow in blood vessels with magnetic effects. Int. J. Applied Systemtic Studies. 2009;3(2):283–293.
Haik Y, Pai V, Chen CJ. Biomagnetic fluid dynamics at interfaces’. Cambridge University Press, Cambridge. 1999;439-452.
Berkovski B, Bashtovoy V. Magnetic fluids and applications handbook. Begell House inc., New York; 1996.
Furlani EP. Permanent Magnet and Electromechanical Device: Materials, Analysis and Applications’’. Academic, New York; 2001.
Bird RB, Armstrong RC, Hassager O. Dynamics of polymeric fluids. Fluid Mechanics. Wiley: NY. 1987;1.
Ku David N. Blood flow in arteries. Annual Review of Fluid Mechanics. 1997;29(1): 399-434
Ferziger J, Peric M, Chap. 1- Basic concepts of fluid flow, computational methods for fluid dynamics. 2002;1-12.
Blacher J, Asmar A, Djane S, London GM, Safar ME. Aortic pulse wave as a marker of cardiovascular risk in hypertensive patients’’. Hypertension. 1999;33:1111–1117.
Andreas Ö, Lucas da Silva FM. Analysis and design of biological materials and structures. Springer Science & Business Media; 2012.
Salem S, Tuchin V. Trapping of magnetic nanoparticles in the blood stream under the influence of a magnetic field. Izv. Saratov Univ. (N. S.), Ser. Physics. 2020; 20(1):72–79.