Theoretical study of the blood flow in arteries in the presence of magnetic particles and under periodic body acceleration

被引：3
作者：
Awrejcewicz, Jan [1 ]
Zafar, Azhar Ali [1 ,2 ]
Kudra, Grzegorz [1 ]
Riaz, Muhammad Bilal [3 ,4 ]
机构：
[1] Lodz Univ Technol, Dept Automat Biomech & Mechatron, 1-15 Stefanowskiego St, PL-90924 Lodz, Poland
[2] Govt Coll Univ, Dept Math, Lahore 54000, Pakistan
[3] Univ Management & Technol, Dept Math, Lahore 54770, Pakistan
[4] Univ Free State, Inst Groundwater Studies, Bloemfontein, South Africa
来源：
CHAOS SOLITONS & FRACTALS | 2020年 / 140卷
关键词：
Bio fluid; Body acceleration; Magnetic field; Integral transforms;
D O I：
10.1016/j.chaos.2020.110204
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this article, the dynamics of blood with suspended magnetic particles in coronal and femoral arteries are investigated. The flow of blood is examined in the presence of external magnetic field, periodic body acceleration and a pressure gradient of an oscillating type. Expressions for the velocity of blood and velocity of magnetic particles will be yielded by employing integral transforms. The analytical results will be expressed in terms of steady-state and transient parts. Moreover, to get insight of the control of the material parameters such as amplitude, the lead angle, frequency of body acceleration, magnetic field and particles' concentration parameter, numerical simulations and graphical illustrations will be used and useful consequences will be summarized. (c) 2020 Elsevier Ltd. All rights reserved.
引用
收藏
页数：12
相关论文
共 29 条
  • [1] [Anonymous], 1965, Engineering Magnetohydrodynamics
  • [2] A new study on the mathematical modelling of human liver with Caputo-Fabrizio fractional derivative
    Baleanu, Dumitru
    Jajarmi, Amin
    Mohammadi, Hakimeh
    Rezapour, Shahram
    [J]. CHAOS SOLITONS & FRACTALS, 2020, 134
  • [3] Simulation of blood flow in human aorta with emphasis on outlet boundary conditions
    Benim, A. C.
    Nahavandi, A.
    Assmann, A.
    Schubert, D.
    Feindt, P.
    Suh, S. H.
    [J]. APPLIED MATHEMATICAL MODELLING, 2011, 35 (07) : 3175 - 3188
  • [4] A one dimensional model of blood flow through a curvilinear artery
    Berntsson, F.
    Ghosh, A.
    Kozlov, V. A.
    Nazarov, S. A.
    [J]. APPLIED MATHEMATICAL MODELLING, 2018, 63 : 633 - 643
  • [5] Charles P, 1996, HDB BIOL EFFECTS ELE
  • [6] CHATURANI P, 1990, BIORHEOLOGY, V27, P619
  • [7] CHOW JCF, 1975, B MATH BIOL, V37, P471, DOI 10.1007/BF02459515
  • [8] Davies B., 2002, Integral Transforms and Their Applications
  • [9] Artificial stenoses for computational hemodynamics
    Doutel, E.
    Carneiro, J.
    Campos, J. B. L. M.
    Miranda, J. M.
    [J]. APPLIED MATHEMATICAL MODELLING, 2018, 59 : 427 - 440
  • [10] Transport of particles by magnetic forces and cellular blood flow in a model microvessel
    Freund, J. B.
    Shapiro, B.
    [J]. PHYSICS OF FLUIDS, 2012, 24 (05)
123