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Lipid Concentration Effect on Blood Flow Through an Inclined Arterial Channel with Magnetic Field

Received: 8 May 2020     Accepted: 22 May 2020     Published: 4 June 2020
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Abstract

The purpose of this research is to formulate mathematical models to investigate lipid concentration effect on blood flow though an inclined arterial channel with magnetic field. The formulated coupled partial differential equations were made dimensionless and reduced to ordinary differential equation using a perturbation technique, the nonlinear ordinary differential equations were solved analytically for the blood velocity and lipid concentration profiles respectively with some resultant pertinent parameters. Numerical simulations were carried out using Mathematica codes developed by the authors for the flow profiles by carefully varying the pertinent parameters to study the effect of each of the parameters on velocity and concentration profiles respectively. It is notice that the solutal Grashoff number, Darcy number, angle of inclination, time and the treatment parameters respectively causes the velocity profiles to increase, while the parameters such as the onset, length of stenosis, Schmidt number, magnetic field intensity, and pulse rate respectively decelerate the velocity profile. Secondly, the parameters such as length of stenosis, the pulse rate, Schmidt number and the treatment parameters decelerate the concentration profile while the onset parameter increases the concentration profile and the results were presented graphically. We can conclude that lipid concentration and some of the resulted pertinent parameters either increases or decreases the flow profiles and of great importance in studying blood velocity in arterial channel.

Published in Mathematical Modelling and Applications (Volume 5, Issue 3)
DOI 10.11648/j.mma.20200503.11
Page(s) 129-137
Creative Commons

This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.

Copyright

Copyright © The Author(s), 2020. Published by Science Publishing Group

Keywords

Lipid, Blood, Flow, Artery, Magnetic Field, Concentration

References
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Cite This Article
  • APA Style

    Kubugha Wilcox Bunonyo, Emeka Amos. (2020). Lipid Concentration Effect on Blood Flow Through an Inclined Arterial Channel with Magnetic Field. Mathematical Modelling and Applications, 5(3), 129-137. https://doi.org/10.11648/j.mma.20200503.11

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    ACS Style

    Kubugha Wilcox Bunonyo; Emeka Amos. Lipid Concentration Effect on Blood Flow Through an Inclined Arterial Channel with Magnetic Field. Math. Model. Appl. 2020, 5(3), 129-137. doi: 10.11648/j.mma.20200503.11

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    AMA Style

    Kubugha Wilcox Bunonyo, Emeka Amos. Lipid Concentration Effect on Blood Flow Through an Inclined Arterial Channel with Magnetic Field. Math Model Appl. 2020;5(3):129-137. doi: 10.11648/j.mma.20200503.11

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  • @article{10.11648/j.mma.20200503.11,
      author = {Kubugha Wilcox Bunonyo and Emeka Amos},
      title = {Lipid Concentration Effect on Blood Flow Through an Inclined Arterial Channel with Magnetic Field},
      journal = {Mathematical Modelling and Applications},
      volume = {5},
      number = {3},
      pages = {129-137},
      doi = {10.11648/j.mma.20200503.11},
      url = {https://doi.org/10.11648/j.mma.20200503.11},
      eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.mma.20200503.11},
      abstract = {The purpose of this research is to formulate mathematical models to investigate lipid concentration effect on blood flow though an inclined arterial channel with magnetic field. The formulated coupled partial differential equations were made dimensionless and reduced to ordinary differential equation using a perturbation technique, the nonlinear ordinary differential equations were solved analytically for the blood velocity and lipid concentration profiles respectively with some resultant pertinent parameters. Numerical simulations were carried out using Mathematica codes developed by the authors for the flow profiles by carefully varying the pertinent parameters to study the effect of each of the parameters on velocity and concentration profiles respectively. It is notice that the solutal Grashoff number, Darcy number, angle of inclination, time and the treatment parameters respectively causes the velocity profiles to increase, while the parameters such as the onset, length of stenosis, Schmidt number, magnetic field intensity, and pulse rate respectively decelerate the velocity profile. Secondly, the parameters such as length of stenosis, the pulse rate, Schmidt number and the treatment parameters decelerate the concentration profile while the onset parameter increases the concentration profile and the results were presented graphically. We can conclude that lipid concentration and some of the resulted pertinent parameters either increases or decreases the flow profiles and of great importance in studying blood velocity in arterial channel.},
     year = {2020}
    }
    

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  • TY  - JOUR
    T1  - Lipid Concentration Effect on Blood Flow Through an Inclined Arterial Channel with Magnetic Field
    AU  - Kubugha Wilcox Bunonyo
    AU  - Emeka Amos
    Y1  - 2020/06/04
    PY  - 2020
    N1  - https://doi.org/10.11648/j.mma.20200503.11
    DO  - 10.11648/j.mma.20200503.11
    T2  - Mathematical Modelling and Applications
    JF  - Mathematical Modelling and Applications
    JO  - Mathematical Modelling and Applications
    SP  - 129
    EP  - 137
    PB  - Science Publishing Group
    SN  - 2575-1794
    UR  - https://doi.org/10.11648/j.mma.20200503.11
    AB  - The purpose of this research is to formulate mathematical models to investigate lipid concentration effect on blood flow though an inclined arterial channel with magnetic field. The formulated coupled partial differential equations were made dimensionless and reduced to ordinary differential equation using a perturbation technique, the nonlinear ordinary differential equations were solved analytically for the blood velocity and lipid concentration profiles respectively with some resultant pertinent parameters. Numerical simulations were carried out using Mathematica codes developed by the authors for the flow profiles by carefully varying the pertinent parameters to study the effect of each of the parameters on velocity and concentration profiles respectively. It is notice that the solutal Grashoff number, Darcy number, angle of inclination, time and the treatment parameters respectively causes the velocity profiles to increase, while the parameters such as the onset, length of stenosis, Schmidt number, magnetic field intensity, and pulse rate respectively decelerate the velocity profile. Secondly, the parameters such as length of stenosis, the pulse rate, Schmidt number and the treatment parameters decelerate the concentration profile while the onset parameter increases the concentration profile and the results were presented graphically. We can conclude that lipid concentration and some of the resulted pertinent parameters either increases or decreases the flow profiles and of great importance in studying blood velocity in arterial channel.
    VL  - 5
    IS  - 3
    ER  - 

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Author Information
  • Department of Mathematics and Statistics, Federal University Otuoke, Yenagoa, Nigeria

  • Department of Mathematics, Rivers State University, Port Harcourt, Nigeria

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