Laminar flows of a non-newtonian fluid in mild stenosis

Theodorou, G.; Bellet, D.

doi:10.1016/0045-7825(86)90038-1

Cited by 16 publications

(7 citation statements)

References 7 publications

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“…The Power-law fluid showed far more non-Newtonian influence as evident from the experimental findings of Perktold et al [20]. A number of researchers have studied the flow of non-Newtonian fluids [21][22][23][24][25][26][27][28][29][30][31][32] with various perspectives.…”

Section: Introductionmentioning

confidence: 89%

An unsteady analysis of non-Newtonian blood flow through tapered arteries with a stenosis

Mandal¹

2005

International Journal of Non-Linear Mechanics

270

104

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Section: Introductionmentioning

confidence: 89%

An unsteady analysis of non-Newtonian blood flow through tapered arteries with a stenosis

Mandal¹

2005

International Journal of Non-Linear Mechanics

270

104

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“…The study of blood flow through a stenotic artery requires a coupling of the fluid and arterial wall mechanics (Theodorou and Bellet 1986;Tang et al 1999). The influence of constrictions of the artery on the blood flow characteristics and artery wall deformation is analysed using the fluid -biphasic finite element model.…”

Section: Blood Flow Through Stenosed Arterymentioning

confidence: 99%

Tissue–fluid interface analysis using biphasic finite element method

Unnikrishnan

Reddy

2009

Computer Methods in Biomechanics and Biomedical Engineering

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Numerical studies on fluid-structure interaction have primarily relied on decoupling the solid and fluid sub-domains with the interactions treated as external boundary conditions on the individual sub-domains. The finite element applications for the fluid-structure interactions can be divided into iterative algorithms and sequential algorithms. In this paper, a new computational methodology for the analysis of tissue-fluid interaction problems is presented. The whole computational domain is treated as a single biphasic continuum, and the same space and time discretisation is carried out for the sub-domains using a penalty-based finite element model. This procedure does not require the explicit modelling of additional boundary conditions or interface elements. The developed biphasic interface finite element model is used in analysing blood flow through normal and stenotic arteries. The increase in fluid flow velocity when passing through a stenosed artery and the drop in pressure at the region are captured using this method.

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“…In diseased state, the actual flow is distinctly pulsatile [1,[9][10][11]. Several researchers have studied the non-Newtonian behavior and pulsatile flow of blood through stenosed arteries [5,[12][13][14].…”

Section: Introductionmentioning

confidence: 99%

Two-fluid flow of Blood through Asymmetric and Axisymmetric Stenosed Narrow Arteries

Sankar¹

2009

International Journal of Nonlinear Sciences and Numerical Simulation

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The present study analyses the pulsatile flow of blood through asymmetric and axially symmetric stenosed narrow arteries, by treating the flowing blood as the two-fluid model with the suspension of all the erythrocytes in the core region as a Casson fluid model and the plasma in the peripheral layer as a Newtonian fluid model. Perturbation method is applied to solve the coupled implicit system of non-linear differential equations. The expressions for velocity, wall shear stress, plug core radius, flow rate and resistance to flow are obtained. The effects of pulsatility, asymmetry of the stenosis, depth of the stenosis, peripheral layer thickness and non-Newtonian behavior of blood on these flow quantities are discussed. It is found that the pressure drop, plug core radius, wall shear stress and resistance to flow increase as the yield stress or stenosis height or stenosis shape parameter increases while all other parameters held constant. It is also observed that the velocity increases, plug core radius and longitudinal impedance decrease as the amplitude of the flow increases or the thickness of the peripheral region thickness increases. The estimates of the increase in the longitudinal impedance of the two-fluid Casson model are significantly lower than those of the single-fluid Casson model.

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Laminar flows of a non-newtonian fluid in mild stenosis

Cited by 16 publications

References 7 publications

An unsteady analysis of non-Newtonian blood flow through tapered arteries with a stenosis

An unsteady analysis of non-Newtonian blood flow through tapered arteries with a stenosis

Tissue–fluid interface analysis using biphasic finite element method

Two-fluid flow of Blood through Asymmetric and Axisymmetric Stenosed Narrow Arteries

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