A Casson Fluid Model for Multiple Stenosed Artery in the Presence of Magnetic Field

Bali, Rekha; Awasthi, Usha

doi:10.4236/am.2012.35066

Cited by 45 publications

(16 citation statements)

References 24 publications

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“…The subsequent assumptions have been made to form the problem mathematically; blood is incompressible, nonhomogeneous and viscous; flow is two-dimensional, unsteady and fully developed; no induced magnetic field; no external electric field is applied; negligible electric field; transverse magnetic field is applied externally. The governing equation satisfying all these conditions is given by [2] (3)…”

Section: Problem Formulationmentioning

confidence: 99%

Effect of Externally Applied Transverse Magnetic Field on Unsteady Flow of Blood in Tapered Stenosed Artery

Veena¹

2019

IJEAT

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The role of flow parameters of blood is very important in maintaining proper functioning of heart and in turn health body. Herschel–Bulkley fluid model is used for the proposed one-fluid blood flow model. The behavior of important blood flow characteristics wall shear stress, volumetric flow rate and axial velocity of the flow in tapered mild stenosed artery in the presence of externally applied transverse magnetic field is studied. A combination of analytical and numerical methods is used to solve the mathematical model of the system. We report the importance constant/variable viscosity of blood on unsteady flow in the proposed artery. Numerical results are reported for different values of the physical parameters of interest. It is observed with the help of graphs, that the flow characteristics wall shear stress, volumetric flow rate and axial velocity are affected in tapered stenosed artery and flow can be regulated with the help externally applied transverse magnetic field.

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Section: Problem Formulationmentioning

confidence: 99%

Effect of Externally Applied Transverse Magnetic Field on Unsteady Flow of Blood in Tapered Stenosed Artery

Veena¹

2019

IJEAT

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“…The flow is also considered as axially symmetric, incompressible and fully developed. It is entirely reasonable to consider the flow in one direction as the velocity does not change in the direction of flow, except near the entrance and exit regions [10]. Consider an external magnetic field of strength 0 B which makes an angle  with the * z -axis which induced a magnetic field B makes also an angle  to the free stream velocity.…”

Section: Mathematical Formulationmentioning

confidence: 99%

A Numerical Study on Effect of Magnetic field on Stenosed Artery

Hazarika¹,

Sarmah²

2014

IJMTT

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In this paper the flow of blood in a stenosed artery under the influence of external induced magnetic field is studied numerically. The artery is considered as circular tube. The effects of external induced magnetic field on axial velocity, flow rate and wall shear rate are studied. The variation of the axial velocity and magnetic field distribution has been illustrated graphically for variation of different parameters such as Reynolds number, Hartmann number , Magnetic Reynolds number etc. The effects of all the parameters are quite significant on flow characteristics.

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“…Sanyal and Maiti [5] use the series solution for solving a mathematical model on arterial blood flow in the presence of mild stenosis and magnetic field. Bali and Awasthi [20] discussed the effect of an externally applied uniform magnetic field on the multi stenosed artery with core region. They considered blood as casson fluid by properly accounting for yield stress of blood in small blood vessel.…”

Section: Introductionmentioning

confidence: 99%

Mathematical Modelling on blood flow through Stenosed artery under the influence of Magnetic field

qui¹,

Awasthi²,

ta³

2017

IJMTT

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Blood can be assumed as a suspension of magnetic particles in non-magnetic plasma, due to presence of hemoglobin in red blood cells. The hemodynamic and rheological property of blood could help us to diagnose and perceive the pathological condition of stenosis. Stenosis is an abnormal and unnatural growth that is due to the deposits of atherosclerotic plaques, cholesterol, lipids, fats etc. inside the lumen of artery in a cardiovascular system. The governing equation of flowing fluid is solved numerically with the help of Frobenius method. The Einstein equation, dependent on hematocrit concentration of blood also helps to develop this model. The hematocrit is the proportion, by volume, of the blood that consists of red blood cells. The essential theoretical results such as axial velocity profile, pressure gradient and wall shear stress have been calculated numerically using MATLAB. From these results we conclude that the axial velocity decreases for increasing Hartmann number while pressure gradient and wall shear stress increases with increase of it. The variation of the solutions of these theoretical results with regard to different parameters has been shown from the graphical representation and it has been observed that the flow pattern is significantly controlled by the magnetic field.

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A Casson Fluid Model for Multiple Stenosed Artery in the Presence of Magnetic Field

Cited by 45 publications

References 24 publications

Effect of Externally Applied Transverse Magnetic Field on Unsteady Flow of Blood in Tapered Stenosed Artery

Effect of Externally Applied Transverse Magnetic Field on Unsteady Flow of Blood in Tapered Stenosed Artery

A Numerical Study on Effect of Magnetic field on Stenosed Artery

Mathematical Modelling on blood flow through Stenosed artery under the influence of Magnetic field

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