Theoretical study of the blood flow in arteries in the presence of magnetic particles and under periodic body acceleration

被引：3

作者：

Awrejcewicz, Jan ^{[1
]}

Zafar, Azhar Ali ^{[1
,2
]}

Kudra, Grzegorz ^{[1
]}

Riaz, Muhammad Bilal ^{[3
,4
]}

机构：

[1] Lodz Univ Technol, Dept Automat Biomech & Mechatron, 1-15 Stefanowskiego St, PL-90924 Lodz, Poland

[2] Govt Coll Univ, Dept Math, Lahore 54000, Pakistan

[3] Univ Management & Technol, Dept Math, Lahore 54770, Pakistan

[4] Univ Free State, Inst Groundwater Studies, Bloemfontein, South Africa

来源：

CHAOS SOLITONS & FRACTALS | 2020年 / 140卷

关键词：

Bio fluid; Body acceleration; Magnetic field; Integral transforms;

D O I：

10.1016/j.chaos.2020.110204

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this article, the dynamics of blood with suspended magnetic particles in coronal and femoral arteries are investigated. The flow of blood is examined in the presence of external magnetic field, periodic body acceleration and a pressure gradient of an oscillating type. Expressions for the velocity of blood and velocity of magnetic particles will be yielded by employing integral transforms. The analytical results will be expressed in terms of steady-state and transient parts. Moreover, to get insight of the control of the material parameters such as amplitude, the lead angle, frequency of body acceleration, magnetic field and particles' concentration parameter, numerical simulations and graphical illustrations will be used and useful consequences will be summarized. (c) 2020 Elsevier Ltd. All rights reserved.

引用

页数：12

共 29 条

[11] Haik Y., 1999, Biomagnetic Fluid Dynamics at Interfaces
[12] Investigation of third-grade non-Newtonian blood flow in arteries under periodic body acceleration using multi-step differential transformation method
Hatami, M.
Ghasemi, S. E.
Sahebi, S. A. R.
Mosayebidorcheh, S.
Ganji, D. D.
Hatami, J.
[J]. APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION, 2015, 36 (11) : 1449 - 1458
[13] A new fractional HRSV model and its optimal control: A non-singular operator approach
Jajarmi, Amin
Yusuf, Abdullahi
Baleanu, Dumitru
Inc, Mustafa
[J]. PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2020, 547 (547)
[14] TRANSIENT MAGNETOHYDRODYNAMIC DUCT FLOW
LUNDGREN, TS
ATABEK, BH
CHANG, CC
[J]. PHYSICS OF FLUIDS, 1961, 4 (08) : 1006 - 1011
[15] sAn unsteady analysis of non-Newtonian blood flow through tapered arteries with a stenosis
Mandal, PK
[J]. INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, 2005, 40 (01) : 151 - 164
[16] McDonald D A., 1974, BLOOD FLOW ARTERIES
[17] PRESSURE-FLOW RELATIONS OF HUMAN BLOOD IN HOLLOW FIBERS AT LOW RATES
MERRILL, EW
BENIS, AM
GILLILAN.ER
SHERWOOD, TK
SALZMAN, EW
[J]. JOURNAL OF APPLIED PHYSIOLOGY, 1965, 20 (05) : 954 - &
[18] A numerical simulation of unsteady blood flow through multi-irregular arterial stenoses
Mustapha, Norzieha
Mandal, Prashanta K.
Johnston, Peter R.
Amin, Norsarahaida
[J]. APPLIED MATHEMATICAL MODELLING, 2010, 34 (06) : 1559 - 1573
[19] EXACT SOLUTIONS FOR THE BLOOD FLOW THROUGH A CIRCULAR TUBE UNDER THE INFLUENCE OF A MAGNETIC FIELD USING FRACTIONAL CAPUTO-FABRIZIO DERIVATIVES
Riaz, M. B.
Zafar, A. A.
[J]. MATHEMATICAL MODELLING OF NATURAL PHENOMENA, 2018, 13 (01)
[20] A new adaptive synchronization and hyperchaos control of a biological snap oscillator
Sajjadi, Samaneh Sadat
Baleanu, Dumitru
Jajarmi, Amin
Pirouz, Hassan Mohammadi
[J]. CHAOS SOLITONS & FRACTALS, 2020, 138

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