Slip effects on unsteady non-Newtonian blood flow through an inclined catheterized overlapping stenotic artery

被引：26

作者：

Zaman, Akbar ^{[1
]}

Ali, Nasir ^{[1
]}

Sajid, M. ^{[2
]}

机构：

[1] Int Islamic Univ, Dept Math & Stat, Islamabad 44000, Pakistan

[2] PINSTECH, Div Theoret Phys, Islamabad 44000, Pakistan

来源：

AIP ADVANCES | 2016年 / 6卷 / 01期

关键词：

SUSPENSION MODEL; FLUID; RHEOLOGY; TUBE;

D O I：

10.1063/1.4941358

中图分类号：

TB3 [工程材料学];

学科分类号：

0805 ; 080502 ;

摘要：

Slip effects on unsteady non-Newtonian blood hydro-magnetic flow through an inclined catheterized overlapping stenotic artery are analyzed. The constitutive equation of power law model is employed to simulate the rheological characteristics of the blood. The governing equations giving the flow derived by assuming the flow to be unsteady and two-dimensional. Mild stenosis approximation is employed to obtain the reduced form of the governing equations. Finite difference method is employed to obtain the solution of the non-linear partial differential equation in the presence of slip at the surface. An extensive quantitative analysis is performed for the effects of slip parameter, Hartmann number, cathetered parameter and arterial geometrical parameters of stenosis on the quantities of interest such as axial velocity, flow rate, resistance impedance and wall shear stress. The streamlines for the blood flow through the artery are also included. (C) 2016 Author(s).

引用

页数：10

共 25 条

[1] Hydromagnetic flow in a viscoelastic fluid due to the oscillatory stretching surface [J].

Abbas, Z. ;

Wang, Y. ;

Hayat, T. ;

Oberlack, M. .

INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, 2008, 43 (08) :783-793

[2] Unsteady non-Newtonian blood flow through a tapered overlapping stenosed catheterized vessel [J].

Ali, N. ;

Zaman, A. ;

Sajid, M. ;

Nieto, J. J. ;

Torres, A. .

MATHEMATICAL BIOSCIENCES, 2015, 269 :94-103

[3] Flow rate pressure drop relation in coronary angioplasty: Catheter obstruction effect [J].

Back, LH ;

Kwack, EY ;

Back, MR .

JOURNAL OF BIOMECHANICAL ENGINEERING-TRANSACTIONS OF THE ASME, 1996, 118 (01) :83-89

[4]

Biswas D, 2015, APPL APPL MATH, V10, P474

[5]

Branes H.A., 1989, INTRO RHEOLOGY

[6] Suspension model blood flow through an inclined tube with an axially non-symmetrical stenosis [J].

Chakraborty, Uday Shankar ;

Biswas, Devajyoti ;

Paul, Moumita .

KOREA-AUSTRALIA RHEOLOGY JOURNAL, 2011, 23 (01) :25-32

[7]

Fung Y.C., 1984, Biodynamics Circulation

[8]

Hoffmann K.A., 2000, COMPUTATIONAL FLUID, V1, P67208

[9] Unsteady response of non-Newtonian blood flow through a stenosed artery in magnetic field [J].

Ikbal, Md. A. ;

Chakravarty, S. ;

Wong, Kelvin K. L. ;

Mazumdar, J. ;

Mandal, P. K. .

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2009, 230 (01) :243-259

[10]

Kanai H., 1996, MED BIOL ENG, V28, P483

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