Effects of the shape of stenosis on the resistance to blood flow through an artery

Haldar, K.

doi:10.1007/bf02460013

Cited by 52 publications

(25 citation statements)

References 10 publications

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“…Let u and v be the longitudinal and transverse velocities, respectively. We assume that the flow of blood in the channel with mild stenosis and the geometry of the stenosis, which is assumed to be symmetric, can be described as [12] h…”

Section: Formulation Of the Problemmentioning

confidence: 99%

Influence of magnetic field and Hall currents on blood flow through a stenotic artery

Mekheimer

Kot

2008

Appl. Math. Mech.-Engl. Ed.

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A micropolar model for blood simulating magnetohydrodynamic flow through a horizontally nonsymmetric but vertically symmetric artery with a mild stenosis is presented. To estimate the effect of the stenosis shape, a suitable geometry has been considered such that the horizontal shape of the stenosis can easily be changed just by varying a parameter referred to as the shape parameter. Flow parameters, such as velocity, the resistance to flow (the resistance impedance), the wall shear stress distribution in the stenotic region, and its magnitude at the maximum height of the stenosis (stenosis throat), have been computed for different shape parameters, the Hartmann number and the Hall parameter. This shows that the resistance to flow decreases with the increasing values of the parameter determining the stenosis shape and the Hall parameter, while it increases with the increasing Hartmann number. The wall shear stress and the shearing stress on the wall at the maximum height of the stenosis possess an inverse characteristic to the resistance to flow with respect to any given value of the Hartmann number and the Hall parameter. Finally, the effect of the Hartmann number and the Hall parameter on the horizontal velocity is examined.

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Section: Formulation Of the Problemmentioning

confidence: 99%

Influence of magnetic field and Hall currents on blood flow through a stenotic artery

Mekheimer

Kot

2008

Appl. Math. Mech.-Engl. Ed.

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“…The published literature on the stenosis further reveals that, except for a few [7][8][9], most of the studies are concerned with the problem of symmetric stenosis. In an actual situation, however, the increase in the arterial wall thickness would not be symmetrical.…”

Section: Introductionmentioning

confidence: 95%

“…Blood, for example, is a suspension of red cells, white cells and platelets in plasma. Several attempts [5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20][21] have been made to understand the blood flow characteristics through stenosed arteries. Most of these theoretical analysis on blood flow have assumed that blood behaves as Newtonian or non-Newtonian fluid.…”

Section: Introductionmentioning

confidence: 99%

The micropolar fluid model for blood flow through a tapered artery with a stenosis

2008

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A micropolar model for axisymmetric blood flow through an axially nonsymmetreic but radially symmetric mild stenosis tapered artery is presented. To estimate the effect of the stenosis shape, a suitable geometry has been considered such that the axial shape of the stenosis can be changed easily just by varying a parameter (referred to as the shape parameter). The model is also used to study the effect of the taper angle φ. Flow parameters such as the velocity, the resistance to flow (the resistance impedance), the wall shear stress distribution in the stenotic region and its magnitude at the maximum height of the stenosis (stenosis throat) have been computed for different values of the shape parameter n, the taper angle φ, the coupling number N and the micropolar parameter m. It is shown that the resistance to flow decreases with increasing the shape parameter n and the micropolar parameter m while it increases with increasing the coupling number N . So, the magnitude of the resistance impedance is higher for a micropolar fluid than that for a Newtonian fluid model. Finally, the velocity profile, the wall shear stress distribution in the stenotic region and its magnitude at the maximum height of the stenosis are discussed for different values of the parameters involved on the problem.

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“…This downstream recirculation would gradually accumulate blood particles on the wall, which may often cause an asymmetric growth in the arterial wall thickness. However, our survey of the literature on the stenotic flows reveals that there are few articles on the asymmetric stenosis [20][21][22]. The so-called linearization approach was used widely in former studies [20][21][22].…”

mentioning

confidence: 97%

“…However, our survey of the literature on the stenotic flows reveals that there are few articles on the asymmetric stenosis [20][21][22]. The so-called linearization approach was used widely in former studies [20][21][22]. First, the degree of the stenosis was assumed to be small, and the incompressible Navier-Stokes equations can be linearized as a system of ordinary differential equations (ODE).…”

mentioning

confidence: 99%

An unstructured finite volume projection method for pulsatile flows through an asymmetric stenosis

2011

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An unstructured finite volume method coupled with a fractional-step projection method is developed for the numerical solution of the incompressible Navier-Stokes equations. Based on the use of the proposed method, numerical investigations are performed for a pulsatile flow through a stenotic channel. The geometry of the stenotic segment is assumed to be asymmetric, which can mimic the deformations in the diseased arteries. The numerical results reveal that for the pulsatile flow, the Womersley and Reynolds numbers have a great influence on the vortex generation and the wall shear stress distributions. The size and number of vortices depend largely on the Womersley number but less on the Reynolds.

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Effects of the shape of stenosis on the resistance to blood flow through an artery

Cited by 52 publications

References 10 publications

Influence of magnetic field and Hall currents on blood flow through a stenotic artery

Influence of magnetic field and Hall currents on blood flow through a stenotic artery

The micropolar fluid model for blood flow through a tapered artery with a stenosis

An unstructured finite volume projection method for pulsatile flows through an asymmetric stenosis

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