Effects of stenosis on non-newtonian flow of the blood in an artery

Shukla, J.B.; Parihar, Rashmi; Rao, Birju

doi:10.1007/bf02460787

Cited by 108 publications

(35 citation statements)

References 23 publications

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“…Once the axial displacement component of the vessel wall in the transformed space has been obtained, its inversion is also carried out by employing numerical techniques [11]. Using (25) and (26), (20) and (21) can be transformed to the following difference equations:…”

Section: Finite Difference Approximationmentioning

confidence: 99%

Unsteady Flow of a Two-Layer Blood Stream Past a Tapered Flexible Artery under Stenotic Conditions

Chakravarty

Sarifuddin

Mandal³

2004

Comput. Methods Appl. Math.

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The mechanics of the blood flow in a flexible tapered artery with stenosis is studied from the viewpoint of a mathematical model. The flowing blood is represented by a two-fluid model, consisting of a core region of suspension of all erythrocytes assumed to be characterized by a Casson fluid and a peripheral plasma layer free from cells of any kind as a Newtonian fluid. The moving wall of the artery is treated as an anisotropic, linear viscoelastic incompressible circular cylindrical membrane cell. The effect of the surrounding connective tissues on the motion of the artery wall is also given due attention. The unsteady flow mechanism, subjected to a pulsatile pressure gradient has been solved using the finite difference scheme by exploiting the appropriate physically realistic prescribed conditions. The present model is also employed to study the effect of taper angle, the wall deformation, the severity of the stenonis, the viscosity of the peripheral layer, and the non-Newtonian rheology of streaming blood on the dynamic flow field. Finally, the numerical illustration presented at the end of the paper provides an effective quantitative measure of the flux, the resistive impedance and the wall shear stress through their graphical representations and also a few comparisons with the existing results have been made in order to validate the applicability of the present model. 2000 Mathematics Subject Classification: 35A22; 65M06; 74-99; 76D05.

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Section: Finite Difference Approximationmentioning

confidence: 99%

Unsteady Flow of a Two-Layer Blood Stream Past a Tapered Flexible Artery under Stenotic Conditions

Chakravarty

Sarifuddin

Mandal³

2004

Comput. Methods Appl. Math.

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“…The mathematical modeling of non-Newtonian nature of blood flow through a stenosed tube has been studied by Shukla et al [5,6] and Chaturani and Ponnalagar Samy [7]. Blood flow in a stenosed tube has been modeled for couple stress fluid by Pralhad and Schultz [8].…”

Section: Introductionmentioning

confidence: 99%

Rheological properties of Reiner-Rivlin fluid model for blood flow through tapered artery with stenosis

Akbar

Nadeem

Mekheimer

2016

Journal of the Egyptian Mathematical Society

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In the present article, we have analyzed the Reiner-Rivlin fluid model for blood flow through a tapered artery with a stenosis. The constitutive equations for a Reiner-Rivlin fluid have been modeled in cylindrical coordinates. A perturbation series in dimensionless Reiner-Rivlin fluid parameter ðk 1 ( 1Þ have been used to obtain explicit forms for the velocity, resistance impedance, wall shear stress and shearing stress at the stenosis throat. The graphical results of different type of tapered arteries (i.e converging tapering, diverging tapering, non-tapered artery) have been examined for different parameters of interest. 2010 MATHEMATICS SUBJECT CLASSIFICATION: 76Zxx; 76Mxx; 92C10 ª 2014 Production and hosting by Elsevier B.V. on behalf of Egyptian Mathematical Society.

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“…It is well known that, blood being a suspension of cells, behaves like a non-Newtonian fluid at low shear rates and during its flow through narrow blood vessels. Shukla et al [5] investigated the effects of stenosis on non-Newtonian flow of the blood in an artery. Philip and Peeyush Chandra [6] studied the flow of blood, modelling it by a simple micro fluid in the core region with a Newtonian fluid peripheral layer, in a tube in the presence of very mild stenosis.…”

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confidence: 99%

Effect of couple stresses on the flow in a constricted annulus

Srinivasacharya

Srikanth²

2007

Arch Appl Mech

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The flow of an incompressible couple stress fluid in an annulus with local constriction at the outer wall is considered. This configuration is intended as a simple model for studying blood flow in a stenosed artery when a catheter is inserted into it. The effects couple stress fluid parameters α and σ , height of the constriction (ε), and ratio of radii (k) on the impedance and wall shear stresses are studied graphically. Graphical results show that the resistance to the flow as well as the wall shear stress increases as the ratio of the radii increases and decreases as the couple stress fluid parameters increases.

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Effects of stenosis on non-newtonian flow of the blood in an artery

Cited by 108 publications

References 23 publications

Unsteady Flow of a Two-Layer Blood Stream Past a Tapered Flexible Artery under Stenotic Conditions

Unsteady Flow of a Two-Layer Blood Stream Past a Tapered Flexible Artery under Stenotic Conditions

Rheological properties of Reiner-Rivlin fluid model for blood flow through tapered artery with stenosis

Effect of couple stresses on the flow in a constricted annulus

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