Impact of Treatment Parameter on Blood Flow in an Atherosclerotic Artery

Kubugha Wilcox Bunonyo; Emeka Amos

doi:doi:10.11648/j.ajtas.20200903.17

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Impact of Treatment Parameter on Blood Flow in an Atherosclerotic Artery

Kubugha Wilcox Bunonyo, Emeka Amos

Published in American Journal of Theoretical and Applied Statistics (Volume 9, Issue 3)

Received: 19 April 2020 Accepted: 7 May 2020 Published: 27 May 2020

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Abstract

This research was carried out to investigate the impact of treatment parameter on blood flow in an atherosclerotic artery by formulating a momentum equation governing the flow in dimensional form which was scaled to dimensionless form using some important scaling parameters. The equation was solved analytical and obtained velocity profile, thereafter the volumetric flow rate, shear stress were calculated analytically and some pertinent physical parameters were obtained, finally Mathematica codes were developed to simulation the analytical results by varying the pertinent parameters to investigate the influence of the physical parameters on the blood flow profile, volumetric flow rate and the shear stress. In conclusion, it is seen that some of the pertinent parameters R_T, Re, Da, M, ω, δ caused the flow to improve while the others did not, taken t=5 seconds. This research is very helpful in providing an insight of the treatment excessive intake of fatty substance.

Published in	American Journal of Theoretical and Applied Statistics (Volume 9, Issue 3)
DOI	10.11648/j.ajtas.20200903.17
Page(s)	74-79
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), 2024. Published by Science Publishing Group

Keywords

Treatment, Blood, Atherosclerosis, Flow, Darcy Number, Magnetic Field

References

[1]	Bunonyo, K. W., Israel-Cookey, C., & Amos, E. (2018). Modeling of Blood Flow through Stenosed Artery with Heat in the Presence of Magnetic Field. Asian Research Journal of Mathematics, 1-14.
[2]	Ellahi, R. (2013). The effects of MHD and temperature dependent viscosity on the flow of non-Newtonian nanofluid in a pipe: analytical solutions. Applied Mathematical Modelling, 37 (3), 1451-1467.
[3]	Bhatti, M. M., Zeeshan, A., &Ellahi, R. (2016). Heat transfer analysis on peristaltically induced motion of particle-fluid suspension with variable viscosity: clot blood model. Computer Methods and Programs in Biomedicine, 137, 115-124.
[4]	Sharma, G. C., Jain, M., & Singh, A. (2009). Mathematical Analysis of MHD Flow of Blood in Very Narrow Capillaries. International Journal of Engineering, 22 (3), 307-315.
[5]	Lagendijk, J. J. W. (1982). The influence of bloodflow in large vessels on the temperature distribution in hyperthermia. Physics in Medicine & Biology, 27 (1), 17.
[6]	Wang, Q. Q., Ping, B. H., Xu, Q. B., & Wang, W. (2008). Rheological effects of blood in a nonplanar distal end-to-side anastomosis. Journal of biomechanical engineering, 130 (5).
[7]	Ramamurthy, G., & Shanker, B. (1994). Magnetohydrodynamic effects on blood flow through a porous channel. Medical and Biological Engineering and Computing, 32 (6), 655-659.
[8]	Das, K., &Saha, G. C. (2009). Arterial MHD pulsatile flow of blood under periodic body acceleration. Bulletin of Society of Mathematicians Banja Luka, 16, 21-42.
[9]	Srivastava, N. (2014). Analysis of flow characteristics of the blood flowing through an inclined tapered porous artery with mild stenosis under the influence of an inclined magnetic field. Journal of Biophysics, 2014.
[10]	Zamir, M., & Roach, M. R. (1973). Blood flow downstream of a two-dimensional bifurcation. Journal of theoretical biology, 42 (1), 33-48.
[11]	Bunonyo, K. W., Amos, E., & Eli, I. C. (2018). Unsteady oscillatory couette flow between vertical parallel plates with constant radiative heat flux. Asian Research Journal of Mathematics, 1-11.
[12]	Bunonyo, K. W., Israel-Cookey, C., & Amos, E. (2017). MHD Oscillatory Flow of Jeffrey Fluid in an Indented Artery with Heat Source. Asian Research Journal of Mathematics, 1-13.
[13]	Bunonyo, K. W., & Amos, E. (2020). "Investigation of the Treatment and Radiation Effects on Oscillatory Blood Flow through a Stenosed Artery.” American Journal of Engineering Research (AJER), vol. 9 (04), pp. 253-259.
[14]	Kumar, S., & Diwakar, C. (2013). A mathematical model of power law fluid with an application of blood flow through an artery with stenosis. Advances in Applied Mathematically Bio-Sciences, 4 (2), 51-61.
[15]	Biswas, D., & Chakraborty, U. S. (2010). Two-layered pulsatile blood flow in a stenosed artery with body acceleration and slip at wall. Applications and Applied Mathematics: An International Journal (AAM), 5 (10), 1400-1417.
[16]	Chaturani, P., & Ponnalagar Samy, R. (1985). A study of non-Newtonian aspects of blood flow through stenosed arteries and its applications in arterial diseases. Biorheology, 22 (6), 521-531.

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APA Style

Kubugha Wilcox Bunonyo, Emeka Amos. (2020). Impact of Treatment Parameter on Blood Flow in an Atherosclerotic Artery. American Journal of Theoretical and Applied Statistics, 9(3), 74-79. https://doi.org/10.11648/j.ajtas.20200903.17

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ACS Style

Kubugha Wilcox Bunonyo; Emeka Amos. Impact of Treatment Parameter on Blood Flow in an Atherosclerotic Artery. Am. J. Theor. Appl. Stat. 2020, 9(3), 74-79. doi: 10.11648/j.ajtas.20200903.17

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AMA Style

Kubugha Wilcox Bunonyo, Emeka Amos. Impact of Treatment Parameter on Blood Flow in an Atherosclerotic Artery. Am J Theor Appl Stat. 2020;9(3):74-79. doi: 10.11648/j.ajtas.20200903.17

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@article{10.11648/j.ajtas.20200903.17,
  author = {Kubugha Wilcox Bunonyo and Emeka Amos},
  title = {Impact of Treatment Parameter on Blood Flow in an Atherosclerotic Artery},
  journal = {American Journal of Theoretical and Applied Statistics},
  volume = {9},
  number = {3},
  pages = {74-79},
  doi = {10.11648/j.ajtas.20200903.17},
  url = {https://doi.org/10.11648/j.ajtas.20200903.17},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajtas.20200903.17},
  abstract = {This research was carried out to investigate the impact of treatment parameter on blood flow in an atherosclerotic artery by formulating a momentum equation governing the flow in dimensional form which was scaled to dimensionless form using some important scaling parameters. The equation was solved analytical and obtained velocity profile, thereafter the volumetric flow rate, shear stress were calculated analytically and some pertinent physical parameters were obtained, finally Mathematica codes were developed to simulation the analytical results by varying the pertinent parameters to investigate the influence of the physical parameters on the blood flow profile, volumetric flow rate and the shear stress. In conclusion, it is seen that some of the pertinent parameters RT, Re, Da, M, ω, δ caused the flow to improve while the others did not, taken t=5 seconds. This research is very helpful in providing an insight of the treatment excessive intake of fatty substance.},
 year = {2020}
}

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TY  - JOUR
T1  - Impact of Treatment Parameter on Blood Flow in an Atherosclerotic Artery
AU  - Kubugha Wilcox Bunonyo
AU  - Emeka Amos
Y1  - 2020/05/27
PY  - 2020
N1  - https://doi.org/10.11648/j.ajtas.20200903.17
DO  - 10.11648/j.ajtas.20200903.17
T2  - American Journal of Theoretical and Applied Statistics
JF  - American Journal of Theoretical and Applied Statistics
JO  - American Journal of Theoretical and Applied Statistics
SP  - 74
EP  - 79
PB  - Science Publishing Group
SN  - 2326-9006
UR  - https://doi.org/10.11648/j.ajtas.20200903.17
AB  - This research was carried out to investigate the impact of treatment parameter on blood flow in an atherosclerotic artery by formulating a momentum equation governing the flow in dimensional form which was scaled to dimensionless form using some important scaling parameters. The equation was solved analytical and obtained velocity profile, thereafter the volumetric flow rate, shear stress were calculated analytically and some pertinent physical parameters were obtained, finally Mathematica codes were developed to simulation the analytical results by varying the pertinent parameters to investigate the influence of the physical parameters on the blood flow profile, volumetric flow rate and the shear stress. In conclusion, it is seen that some of the pertinent parameters RT, Re, Da, M, ω, δ caused the flow to improve while the others did not, taken t=5 seconds. This research is very helpful in providing an insight of the treatment excessive intake of fatty substance.
VL  - 9
IS  - 3
ER  -

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Author Information

Kubugha Wilcox Bunonyo

Department of Mathematics & Statistic, 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). Impact of Treatment Parameter on Blood Flow in an Atherosclerotic Artery. American Journal of Theoretical and Applied Statistics, 9(3), 74-79. https://doi.org/10.11648/j.ajtas.20200903.17

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ACS Style

Kubugha Wilcox Bunonyo; Emeka Amos. Impact of Treatment Parameter on Blood Flow in an Atherosclerotic Artery. Am. J. Theor. Appl. Stat. 2020, 9(3), 74-79. doi: 10.11648/j.ajtas.20200903.17

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AMA Style

Kubugha Wilcox Bunonyo, Emeka Amos. Impact of Treatment Parameter on Blood Flow in an Atherosclerotic Artery. Am J Theor Appl Stat. 2020;9(3):74-79. doi: 10.11648/j.ajtas.20200903.17

Copy | Download

@article{10.11648/j.ajtas.20200903.17,
  author = {Kubugha Wilcox Bunonyo and Emeka Amos},
  title = {Impact of Treatment Parameter on Blood Flow in an Atherosclerotic Artery},
  journal = {American Journal of Theoretical and Applied Statistics},
  volume = {9},
  number = {3},
  pages = {74-79},
  doi = {10.11648/j.ajtas.20200903.17},
  url = {https://doi.org/10.11648/j.ajtas.20200903.17},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajtas.20200903.17},
  abstract = {This research was carried out to investigate the impact of treatment parameter on blood flow in an atherosclerotic artery by formulating a momentum equation governing the flow in dimensional form which was scaled to dimensionless form using some important scaling parameters. The equation was solved analytical and obtained velocity profile, thereafter the volumetric flow rate, shear stress were calculated analytically and some pertinent physical parameters were obtained, finally Mathematica codes were developed to simulation the analytical results by varying the pertinent parameters to investigate the influence of the physical parameters on the blood flow profile, volumetric flow rate and the shear stress. In conclusion, it is seen that some of the pertinent parameters RT, Re, Da, M, ω, δ caused the flow to improve while the others did not, taken t=5 seconds. This research is very helpful in providing an insight of the treatment excessive intake of fatty substance.},
 year = {2020}
}

Copy | Download

TY  - JOUR
T1  - Impact of Treatment Parameter on Blood Flow in an Atherosclerotic Artery
AU  - Kubugha Wilcox Bunonyo
AU  - Emeka Amos
Y1  - 2020/05/27
PY  - 2020
N1  - https://doi.org/10.11648/j.ajtas.20200903.17
DO  - 10.11648/j.ajtas.20200903.17
T2  - American Journal of Theoretical and Applied Statistics
JF  - American Journal of Theoretical and Applied Statistics
JO  - American Journal of Theoretical and Applied Statistics
SP  - 74
EP  - 79
PB  - Science Publishing Group
SN  - 2326-9006
UR  - https://doi.org/10.11648/j.ajtas.20200903.17
AB  - This research was carried out to investigate the impact of treatment parameter on blood flow in an atherosclerotic artery by formulating a momentum equation governing the flow in dimensional form which was scaled to dimensionless form using some important scaling parameters. The equation was solved analytical and obtained velocity profile, thereafter the volumetric flow rate, shear stress were calculated analytically and some pertinent physical parameters were obtained, finally Mathematica codes were developed to simulation the analytical results by varying the pertinent parameters to investigate the influence of the physical parameters on the blood flow profile, volumetric flow rate and the shear stress. In conclusion, it is seen that some of the pertinent parameters RT, Re, Da, M, ω, δ caused the flow to improve while the others did not, taken t=5 seconds. This research is very helpful in providing an insight of the treatment excessive intake of fatty substance.
VL  - 9
IS  - 3
ER  -

Copy | Download