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

Kubugha Wilcox Bunonyo; Emeka Amos

doi:doi:10.11648/j.mma.20200503.11

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

Kubugha Wilcox Bunonyo, Emeka Amos

Published in Mathematical Modelling and Applications (Volume 5, Issue 3)

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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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

Kubugha Wilcox Bunonyo

Department of Mathematics and Statistics, Federal University Otuoke, Yenagoa, Nigeria
Emeka Amos

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

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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

Copy | Download

@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}
}

Copy | Download

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  -

Copy | Download