Full Paper View Go Back

Unsteady MHD Blood Flow Through Bifurcated Arteries with Heat Source and Magnetic Field in the Presence of Soret Effect

Auwalu Alhassan Girema1 , Yusuf Ya’u Gambo2 , Bashir Yau Haruna3

Section:Research Paper, Product Type: Journal-Paper
Vol.11 , Issue.6 , pp.66-74, Dec-2024


Online published on Dec 31, 2024


Copyright © Auwalu Alhassan Girema, Yusuf Ya’u Gambo, Bashir Yau Haruna . 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.
 

View this paper at   Google Scholar | DPI Digital Library


XML View     PDF Download

How to Cite this Paper

  • IEEE Citation
  • MLA Citation
  • APA Citation
  • BibTex Citation
  • RIS Citation

IEEE Style Citation: Auwalu Alhassan Girema, Yusuf Ya’u Gambo, Bashir Yau Haruna, “Unsteady MHD Blood Flow Through Bifurcated Arteries with Heat Source and Magnetic Field in the Presence of Soret Effect,” International Journal of Scientific Research in Mathematical and Statistical Sciences, Vol.11, Issue.6, pp.66-74, 2024.

MLA Style Citation: Auwalu Alhassan Girema, Yusuf Ya’u Gambo, Bashir Yau Haruna "Unsteady MHD Blood Flow Through Bifurcated Arteries with Heat Source and Magnetic Field in the Presence of Soret Effect." International Journal of Scientific Research in Mathematical and Statistical Sciences 11.6 (2024): 66-74.

APA Style Citation: Auwalu Alhassan Girema, Yusuf Ya’u Gambo, Bashir Yau Haruna, (2024). Unsteady MHD Blood Flow Through Bifurcated Arteries with Heat Source and Magnetic Field in the Presence of Soret Effect. International Journal of Scientific Research in Mathematical and Statistical Sciences, 11(6), 66-74.

BibTex Style Citation:
@article{Girema_2024,
author = {Auwalu Alhassan Girema, Yusuf Ya’u Gambo, Bashir Yau Haruna},
title = {Unsteady MHD Blood Flow Through Bifurcated Arteries with Heat Source and Magnetic Field in the Presence of Soret Effect},
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 = {66-74},
url = {https://www.isroset.org/journal/IJSRMSS/full_paper_view.php?paper_id=3740},
publisher = {IJCSE, Indore, INDIA},
}

RIS Style Citation:
TY - JOUR
UR - https://www.isroset.org/journal/IJSRMSS/full_paper_view.php?paper_id=3740
TI - Unsteady MHD Blood Flow Through Bifurcated Arteries with Heat Source and Magnetic Field in the Presence of Soret Effect
T2 - International Journal of Scientific Research in Mathematical and Statistical Sciences
AU - Auwalu Alhassan Girema, Yusuf Ya’u Gambo, Bashir Yau Haruna
PY - 2024
DA - 2024/12/31
PB - IJCSE, Indore, INDIA
SP - 66-74
IS - 6
VL - 11
SN - 2347-2693
ER -

43 Views    56 Downloads    12 Downloads
  
  

Abstract :
This study explores unsteady blood flow in bifurcated arteries influenced by a constant transverse magnetic field and heat source. For easy analysis of axial velocity, temperature distribution, concentration of blood component and normal velocity, complex partial differential equations are transformed into ordinary differential equations by the method of separation of parameters subject to the conditions defined. Analytical solution illustrates how varying factors such as Hartmann number (Ha), Prandtl number (Pr), Schmidt number (Sc), Soret parameter (Sr) and Decay parameter (?) affect blood flow dynamics. The analysis was made using Matlab and the results are presented graphically for better understanding.

Key-Words / Index Term :
The Blood Flow, Bifurcated Artery, Soret effect, Heat Source, Magnetic Field, Decay parameter

References :
[1] E. E. Tzirtzilakis, "A Mathematical Model for Blood Flow in Magnetic Field", Journal of Physics of Fluids, Vol. 17, Issue 7, pp. 07-11, 2005.
[2] G. Ramamurthy, B. Shanker, "Magnetohydrodynamic Effects on Blood Flow through Porous Channel", Journal of Medical and Biological Engineering and Computing, Vol. 32, Issue 6, pp. 655-659, 1994.
[3] K. Das, G. C. Saha, "Arterial MHD Pulsatile Flow of Blood under Periodic Body Acceleration", Bulletin of Society of Mathematicians Banja Luka, Vol. 16, No. 1, pp. 21-42, 2009.
[4] M. E. Islam, "Mathematical Analysis of Unsteady MHD Blood Flow through Parallel Plate Channel with Heat Source", World Journal of Mechanics , Vol. 2, Issue 3, pp. 131-137, 2012.
[5] J. Singh, R. Rathee, "Analytical Solution of Two- Dimensional Model of Blood Flow with Variable Viscosity through an Indented Artery Due to LDL Effect in the Presence of Magnetic Field", International Journal of Physical Sciences, Vol. 5, Issue 12, pp. 1857-1868, 2010.
[6] C. S. Dulal, B. Ananda, "Pulsatile Motion of Blood through an AxiSymmetric Artery in Presence of Magnetic Field", Journal of Science and Technology of Assam University, Vol. 5, Issue 2, pp. 12-20, 2010.
[7] M. Zamir, M. R. Roach, "Blood flow downstream of a two dimensional bifurcation" , Journal of Theoretical Biology, Vol. 5, Issue 6, pp. 33-42, 1973.
[8] A. Kolin, "An electromagnetic flow meter: Principle of the method and its application to blood flow measurements", Proc. Soc. exp. Biol. (N. Y.), Vol. 6, Issue 35, pp. 53-56, 1936.
[9] E. M. Korchevskii, L. S. Marochnik, "Magnetohydrodynamic version of movement of blood", Journal of Biophysics, Vol. 12, Issue 10, pp. 411-413, 1965.
[10] M. Usman, S. Tauseef, D. Mohyud, "Fluid flow and heat transfer investigation of blood with nanoparticles through porous vessels in the presence of magnetic field", Journal of Algorithm Computing Technology, Vol. 11, Issue 13, pp. 1-15, 2008.
[11] D. A. A. Tripathy, "Mathematical model for blood flow through inclined arteries under the influence of inclined magnetic field", Journal of Medical Biology, Vol. 11, No. 12, pp. 1-16, 2012.
[12] M. J. Allwood, H. S. Burry, "The effect of local temperature on blood flow in human foot", Journal of Physiology , Vol. 124, Issue 2, pp. 133-357, 1954.
[13] A. Ogulu, T. M. Abbey, "Simulation of heat transfer on an oscillatory blood flowin an indented porous artery", International Journal of communication in heat and mass transfer, Vol 32, Issue 5, pp. 983-989, 2005.
[14] H. S. Burry, M. J. Allwood, "The effect of local temperature on blood flow in the human foot" , Journal of Human Physiology, Vol. 15, Issue 2, pp. 45-51,1954.
[15] S. Charm, B. Paltiel, G. S. Kurland, "Heat transfer coefficients in blood flow", Journal of Biorheology, Vol. 5, Issue 6, pp.133-145, 1968.
[16] S. A. Victor, V. L. Shah, "Heat transfer to blood flowing in a tube", Journal of Biorheology, Vol. 12, Issue 11, pp. 361-368, 1975.
[17] K. Halder, "Effects of magnetic field on blood flow through an indented tube in the presence of erythrocytes", Indian Journal of Pure and Applied Mathematics, Vol. 10, Issue 52, pp. 253-345, 1994.
[18] V. A. Vardanyan, " The effects of fluid mechanics of human biotheuraptic Anatomy", Journal of Biophysics, Vol. 7, Issue 15, pp. 18-515, 1973.
[19] G. Varshney, V. K. Katiyar, S. Kumar, "Effect of magnetic field on the blood flow in artery having multiple stenosis: a numerical study", International Journal of Engineering Science Technology, Vol. 11, Issue 2, pp. 67-82, 2010.
[20] B. K. Jha, Y. Y. Gambo, "Unsteady free convection and mass transfer fow past an impulsively started vertical plate with Soret and Dufour efects: an analytical approach", Journal of Applied Science, Vol 5, Issue 1, pp. 12-34, 2019.
[21] B. K. Jha, Y. Y. Gambo, "Dufour Effect with Ramped Wall Temperature and Specie Concentration on Natural Convection Flow through a Channel", Journal of Physics, Vol. 11, Issue 1, pp. 1-11, 2019.
[22] B. K. Jha, Y. Y. Gambo, "Transient natural convention heat and mass transfer flow in a vertical channel in the presence of Soret and Dufour effects: An analytical approach", International Journal of Modern Physics, Vol. 10, Issue 31, pp. 2-9, 2020.
[23] B. K. Jha, Y. Y. Gambo, "Soret and Dufour effects on transient free convention heat and mass transfer flow in a vertical channel with ramped wall temperature and specie concentration: an analytical approach", Arab Journal of Basic and Applied Sciences, Vol. 7, Issue, pp.1-8, 2020.
[24] B. Y. Isah, B. K. Jha, L. Jeng-Eng, "Combined effects of thermal diffusion and diffusion-thermo effects on transient MHD natural convection and mass transfer flow in a vertical channel with thermal radiation", Journal of Applied Mathematics, Vol. 11, Issue, pp.23-54, 2016.

Authorization Required

 

You do not have rights to view the full text article.
Please contact administration for subscription to Journal or individual article.
Mail us at  support@isroset.org or view contact page for more details.

Go to Navigation