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Sains Malaysiana 47(10)(2018):
2581–2587 http://dx.doi.org/10.17576/jsm-2018-4710-35
Controlling the Blood
Flow in the Stenosed Porous Artery with
Magnetic Field (Pengawalan
Aliran Darah
dalam Arteri Berliang
yang Tersumbat dengan
Medan Magnet) D.F. JAMIL1,
R.
ROSLAN1,
M.
ABDULHAMEED2
& I. HASHIM3* 1Faculty
of Applied Sciences and Technology, Universiti
Tun Hussein Onn Malaysia, Pagoh
Campus, 84600 Muar, Johor Darul Takzim,
Malaysia 2School
of Science and Technology, The Federal
Polytechnic, Bauchi, P.M.B 0231, Bauchi, Nigeria 3School
of Mathematical Sciences, Faculty of Science & Technology,
Universiti Kebangsaan Malaysia,
43600 UKM Bangi, Selangor
Darul Ehsan, Malaysia Diserahkan: 11
April 2018/Diterima: 5 Jun 2018 ABSTRACT The unsteady blood flow
in the stenosed porous artery subjected
to a magnetic field was studied analytically. Oscillating pressure
gradient and periodic body acceleration were imposed on the flow
field. The effects of the magnetic field and the permeability
of the stenosed artery on the blood
velocity were studied. The results showed that the magnetic field
affected the flow field significantly which can be beneficial
for some practical problems. Keywords: Magnetic field;
porous medium; stenosed artery; unsteady
blood flow ABSTRAK Aliran darah yang tidak
stabil di dalam
arteri berliang
tersumbat yang dikenakan medan magnet dikaji
secara beranalisis.
Kecerunan tekanan berayun dan pecutan
badan berkala
telah dikenakan ke atas medan aliran. Kesan medan
magnet dan arteri
tersumbat pada halaju darah telah
dikaji. Keputusan
menunjukkan bahawa medan magnet mempengaruhi
aliran dengan
ketara yang bermanfaat untuk beberapa masalah sebenar. Kata kunci: Aliran
darah tak
mantap; arteri stenosis; medan magnet; medium berliang RUJUKAN Akbarzadeh, P.
2016. Pulsatile magneto-hydrodynamic blood flows through porous
blood vessels using a third grade non- Newtonian fluids model.
Computer Methods and Programs in Biomedicine 126: 3-19.
Bhatnagar,
A. & Shrivastav, R.K. 2014. Analysis of MHD flow of blood through a multiple stenosed artery in the presence of slip velocity. Int.
J. Innovative Research in Adv. Eng. 1: 250-257. Bhatti,
M.M. & Abbas, M.A. 2016. Simultaneous
effects of slip and MHD on peristaltic blood flow of Jeffrey fluid
model through a porous medium. Alexandria Eng. J. 55: 1017-1023.
Bose,
S. & Banerjee, M. 2015. Magnetic particle
capture for biomagnetic fluid flow in
stenosed aortic bifurcation considering particle-fluid coupling.
J. of Magnetism and Magnetic Materials 385: 32-46. El-Shahded, M. 2003. Pulsatile flow of blood through a stenosed
porous medium under periodic body acceleration. Appl.
Math. and Comp. 138: 479-488. Hatami,
M., Hatami, J. & Gaji,
D.D. 2014. Computer simulation of MHD blood conveying gold nanoparticles
as a third grade non-Newtonian nanofluid
in a hollow porous vessel. Comp. Methods
and Prog. in Biomedicine
113: 632-641. Majee,
S. & Shit, G.C. 2017. Numerical investigation
of MHD flow of blood and heat transfer in a stenosed
arterial segment. J. Magnetism and Magnetic Materials
424: 137-147. Makinde,
O.D. 2005. Collapsible tube flow - A mathematical
model. Romanian Journal of Physics 50: 493-506.
Makinde,
O.D., Khan, Z.H., Khan, W.A. & Tshehla,
M.S. 2017.
Magneto hemodynamics of nanofluid
with heat and mass transfer in a slowly varying symmetrical channel.
International Journal of Engineering Research in Africa 28:
118-141. Mustapha,
N., Mandal, P.K., Johnston, P.R. & Amin, N. 2010. A numerical simulation of unsteady blood flow through multi-irregular
arterial stenos. Appl. Math. Modelling
34: 1559-1573.
Ponalagusamy, R.
& Priyadharshini, S. 2017. Nonlinear
model on pulsatile flow of blood through a porous bifurcated arterial
stenosis in the presence of magnetic field and periodic body acceleration.
Computer Methods and Programs in Biomedicine 14: 31-41.
Prakash,
J. & Makinde, O.D. 2011. Radiative
heat transfer to blood flow through a stenotic artery in the presence
of erythrocytes and magnetic field. Latin American Applied
Research 41: 273-277. Prakash,
O., Makinde, O.D., Singh, S.P., Jain,
N. & Kumar, D. 2015. Effects of stenosis on non- Newtonian
flow of blood in blood vessels. International Journal
of Biomathematics 8: 13. Singh,
A.K. & Singh, D.P. 2003. MHD Flow of Blood through Radially
non-symmetric stenosed artery: a Hershcel-Bulkley Model. Int. J. of Eng. 26: 859-864.
Sharma,
S., Singh, U. & Katiyar, V.K. 2015. Magnetic field effect on flow parameters of blood along with magnetic
particles in acylindrical tube.
J. Magnetism and Magnetic Materials 377: 395-401. Sharma,
G.C., Jain, M. & Kumar, A. 2004. Performance modelling
and analysis of blood flow in elastic arteries. Math.
and Comp. Modelling 39: 1491-1499.
Shit,
G.C. & Majee, S. 2015. Pulsatile
flow of blood and heat transfer with variable viscosity under
magnetic and vibration environment. J. Magnetism and
Magnetic Materials 388: 106-115. Shah,
N.A., Vieru, D. & Fetecau,
D. 2016. Effects of the fractional order and magnetic field
on the blood flow in cylindrical domains. J. Magnetism and
Magnetic Materials 409: 10-19. Siddiqui,
S.U., Shah, S.R. & Geeta. 2015.
A biomechanical approach to study the effect of body acceleration
and slip velocity through stenotic artery. Appl. Math. and
Comp. 261: 148-155. Tashtoush,
B. & Magableh, A. 2008. Magnetic field effect on heat transfer and fluid flow characteristics
of blood flow in multi-stenosis arteries. Heat and Mass
Transfer 44: 297-304. Tanwar,
V.K., Varshney, N.K. & Agarwal,
R. 2014. Effect of porous medium on blood flow through an artery with mild
stenosis under the influence of transverse magnetic field.
Int. J. of Math. 5: 181-188. Ullah,
I., Rahim, M.T., Khan, H. & Qayyum,
M. 2016. Analytical analysis of squeezing flow in porous medium with MHD effect.
U.P.B. Sci. Bull. 78(2): 281-292. Varshney, G.,
Katiyar, V.K. & Kumar, S. 2010.
Effect of magnetic field on the blood flow in artery having multiple
stenosis: A numerical study. Int.
J. of Eng. Sci. and Tech. 2: 67-82. Xenos,
M.A. & Tzirtzilakis, E.E. 2013. MHD
effects on blood flow in a stenosis. Adv. in Dynamical Systems
and Appl. 8: 427-437. Zaman,
A., Ali, N. & Sajid, M. 2017. Numerical simulation of pulsatile flow of blood in a porous-saturated
overlapping stenosed artery.
Mathematics and Computers in Simulation 134: 1-16. *Pengarang untuk surat-menyurat; email: ishak_h@ukm.edu.my
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