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Isah Abdullahi1 , M.Y Adamu2 , A. M Kwami3 , Munira Salisu4
Section:Research Paper, Product Type: Journal-Paper
Vol.11 ,
Issue.6 , pp.47-59, Dec-2024
Online published on Dec 31, 2024
Copyright © Isah Abdullahi, M.Y Adamu, A. M Kwami, Munira Salisu . This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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IEEE Style Citation: Isah Abdullahi, M.Y Adamu, A. M Kwami, Munira Salisu, “Mathematical Analysis of Fractional Burgers` Fluid Model of Magnetohydrodynamic Blood Flow through Bifurcated Arteries,” International Journal of Scientific Research in Mathematical and Statistical Sciences, Vol.11, Issue.6, pp.47-59, 2024.
MLA Style Citation: Isah Abdullahi, M.Y Adamu, A. M Kwami, Munira Salisu "Mathematical Analysis of Fractional Burgers` Fluid Model of Magnetohydrodynamic Blood Flow through Bifurcated Arteries." International Journal of Scientific Research in Mathematical and Statistical Sciences 11.6 (2024): 47-59.
APA Style Citation: Isah Abdullahi, M.Y Adamu, A. M Kwami, Munira Salisu, (2024). Mathematical Analysis of Fractional Burgers` Fluid Model of Magnetohydrodynamic Blood Flow through Bifurcated Arteries. International Journal of Scientific Research in Mathematical and Statistical Sciences, 11(6), 47-59.
BibTex Style Citation:
@article{Abdullahi_2024,
author = {Isah Abdullahi, M.Y Adamu, A. M Kwami, Munira Salisu},
title = {Mathematical Analysis of Fractional Burgers` Fluid Model of Magnetohydrodynamic Blood Flow through Bifurcated Arteries},
journal = {International Journal of Scientific Research in Mathematical and Statistical Sciences},
issue_date = {12 2024},
volume = {11},
Issue = {6},
month = {12},
year = {2024},
issn = {2347-2693},
pages = {47-59},
url = {https://www.isroset.org/journal/IJSRMSS/full_paper_view.php?paper_id=3738},
publisher = {IJCSE, Indore, INDIA},
}
RIS Style Citation:
TY - JOUR
UR - https://www.isroset.org/journal/IJSRMSS/full_paper_view.php?paper_id=3738
TI - Mathematical Analysis of Fractional Burgers` Fluid Model of Magnetohydrodynamic Blood Flow through Bifurcated Arteries
T2 - International Journal of Scientific Research in Mathematical and Statistical Sciences
AU - Isah Abdullahi, M.Y Adamu, A. M Kwami, Munira Salisu
PY - 2024
DA - 2024/12/31
PB - IJCSE, Indore, INDIA
SP - 47-59
IS - 6
VL - 11
SN - 2347-2693
ER -
Abstract :
The study analyzes electro-magnetohydrodynamic (EMHD) flow in bifurcated arteries using a non-Newtonian Burgers` fluid model with an Atangana-Baleanu fractional derivative. The focus is on how magnetic fields, electric fields, and thermal properties affect blood flow, especially for enhancing tumor treatment via controlled heat transfer. The study formulates the nonlinear partial differential equations (momentum, energy, and concentration) and solved analytically using the combine Laplace transforms and the Homotopy Perturbation Method (HPM). The results show that parameters such as magnetic field strength, Burgers` parameter, fractional parameters, Eckert number, and Joule heating influence blood flow velocity, temperature, and concentration within the arteries. Specifically, stronger magnetic fields and higher Burgers` parameters reduce blood velocity, while thermal factors like Eckert number and Joule heating increase temperature. These insights are valuable for biomedical applications such as targeted drug delivery, heat management, and tumor therapy.
Key-Words / Index Term :
Bifurcated artery, Burgers’ fluid model, Atangana-Baleanu Fractional time derivative, Magnetic field, Thermal radiation, Heat transfer
References :
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