Unsteady magnetohydrodynamic blood flow through irregular multi-stenosed arteries

Mustapha, Norzieha; Amin, Norsarahaida; Chakravarty, S.; Mandal, Prashanta Kumar

doi:10.1016/j.compbiomed.2009.07.004

Cited by 66 publications

(24 citation statements)

References 14 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The following parameters are used to evaluate the effect of different taper angles on the flow characteristics [5,9,28]: The computational code based on the following algorithm has been successfully programmed using MATLAB language:…”

Section: Numerical Results and Discussionmentioning

confidence: 99%

Mathematical modeling of micropolar fluid flow through an overlapping arterial stenosis

Haghighi

Asl

2015

Int. J. Biomath.

View full text Add to dashboard Cite

In this study a mathematical model for two-dimensional pulsatile blood flow through overlapping constricted tapered vessels is presented. In order to establish resemblance to the in vivo conditions, an improved shape of the time-variant overlapping stenosis in the elastic tapered artery subject to pulsatile pressure gradient is considered. Because it contains a suspension of all erythrocytes, the flowing blood is represented by micropolar fluid. By applying a suitable coordinate transformation, tapered cosine-shaped artery turned into non-tapered rectangular and a rigid artery. The governing nonlinear partial differential equations under the imposed realistic boundary conditions are solved using the finite difference method. The effects of vessel tapering on flow characteristics considering their dependencies with time are investigated. The results show that by increasing the taper angle the axial velocity and volumetric flow rate increase and the microrotational velocity and resistive impedance reduce. It has been shown that the results are in agreement with similar data from the literature.

show abstract

Section: Numerical Results and Discussionmentioning

confidence: 99%

Mathematical modeling of micropolar fluid flow through an overlapping arterial stenosis

Haghighi

Asl

2015

Int. J. Biomath.

View full text Add to dashboard Cite

show abstract

“…24,25 On the other hand, research in pathological geometries has mainly limited to idealized vessels exhibiting one or multiple stenoses. [26][27][28][29][30] Among them is the numerical analysis of MHD blood flow in stenosed arteries treated as a non-Newtonian fluid using the Finite Differences (FD) method, 31 the BFD flow in stenosis, 32 and the study of MHD effects on blood flow through an irregular stenosis. 33 Misra et al 34 have also developed a mathematical model testing the MHD effects in a porous vessel with double stenoses.…”

Section: Introductionmentioning

confidence: 99%

Finite element analysis of magnetohydrodynamic effects on blood flow in an aneurysmal geometry

et al. 2014

View full text Add to dashboard Cite

show abstract

“…Stenoses formed in the cerebral arteries lead to strokes and the stenoses developed in the coronary arteries influences heart failure [7,8]. It has been reported that the fluid dynamical properties of blood flow in the arteries with variable cross-section plays a vital role in the basic understanding and treatment of many cardiovascular diseases [9,10]. Hence, the mathematical analysis of blood flow in constricted arteries is very useful.…”

Section: Introductionmentioning

confidence: 99%

Mathematical Analysis for MHD Flow of Blood in Constricted Arteries

Sankar

Lee

Ismail

2013

Int. J. Nonlinear Sci. Numer. Simul.

View full text Add to dashboard Cite

The unsteady oscillatory magneto-hydrodynamic flow of blood in small diameter arteries with mild constriction is analyzed, blood being modelled as a HerschelBulkley fluid. Finite difference method is employed for solving the associated initial boundary value problem. Explicit finite difference schemes for velocity distribution, flow rate, skin friction and longitudinal impedance to the flow are obtained. The effects of pressure gradient, yield stress, magnetic field, power law index and maximum depth of the stenosis on the aforesaid flow quantities are discussed through appropriate graphs. It is found that the velocity and flow rate decrease and the skin friction and longitudinal impedance to flow increase with the increase of the magnetic field parameter. It was recorded that the flow rate increases and the skin friction decreases with the increase of the phase angle. It was also noted the skin friction and longitudinal impedance to flow that increase almost linearly with the increase of maximum depth of the stenosis. The estimates of the increase in the longitudinal impedance to flow and skin friction are increased considerably by the presence of the magnetic field.

show abstract

Unsteady magnetohydrodynamic blood flow through irregular multi-stenosed arteries

Cited by 66 publications

References 14 publications

Mathematical modeling of micropolar fluid flow through an overlapping arterial stenosis

Mathematical modeling of micropolar fluid flow through an overlapping arterial stenosis

Finite element analysis of magnetohydrodynamic effects on blood flow in an aneurysmal geometry

Mathematical Analysis for MHD Flow of Blood in Constricted Arteries

Contact Info

Product

Resources

About