Pulsatile flow of Herschel–Bulkley fluid through catheterized arteries – A mathematical model

Sankar, D. S.; Hemalatha, K.

doi:10.1016/j.apm.2006.04.012

Cited by 64 publications

(31 citation statements)

References 14 publications

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“…From Eqs. (17)(18)(19)(20), it is clear that the flow in 1 k r is a four region one, in which the core region has a flat velocity profile and hence forms the plug flow region. In this plug flow region, where the shear stress does not exceed the yield stress, the flow is not sheared in the sense that the fluid streamlines are not moving at different velocities.…”

Section: Methods Of Solutionmentioning

confidence: 98%

“…Sankar and Hemalatha [18,19] studied the steady flow of Herschel-Bulkley fluid (H-B fluid) through catheterized arteries and estimated the increase in the resistance to flow. Bugliarello and Sevilla [20] and Cokelet [21] reported that for blood flowing through narrow blood vessels, there is a peripheral layer of plasma and a core region of suspension of all the erythrocytes.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Two-fluid Herschel-Bulkley model for blood flow in catheterized arteries

Sankar

Lee

2008

J Mech Sci Technol

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The steady flow of blood through a catheterized artery is analyzed, assuming the blood as a two-fluid model with the core region of suspension of all the erythrocytes as a Herschel-Bulkley fluid and the peripheral region of plasma as a Newtonian fluid. The expressions for velocity, flow rate, wall shear stress and frictional resistance are obtained. The variations of these flow quantities with yield stress, catheter radius ratio and peripheral layer thickness are discussed. It is observed that the velocity and flow rate decrease while the wall shear stress and resistance to flow increase when the yield stress or the catheter radius ratio increases when all the other parameters held constant. It is noticed that the velocity and flow rate increase while the wall shear stress and frictional resistance decrease with the increase of the peripheral layer thickness. The estimates of the increase in the frictional resistance are significantly much smaller for the present two-fluid model than those of the single-fluid model.

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Section: Methods Of Solutionmentioning

confidence: 98%

Section: Introductionmentioning

confidence: 99%

Two-fluid Herschel-Bulkley model for blood flow in catheterized arteries

Sankar

Lee

2008

J Mech Sci Technol

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“…Although the effect of sheardependent viscosity and also the effect of fluid's elasticity have already been investigated in constricted channels under pulsatile conditions [14][15][16][17][18][19][20][21][22] , there appears to be no published work addressing pulsatile flow of fluids having time-dependent viscosity, i.e., thixotropic fluids. This is quite surprising realizing the fact that such fluids (i.e., fluids for which viscosity decreases by the progress of time, even at a constant shear rate) are quite common in the real world.…”

Section: Most Industrial Fluids and Virtually All Physiological Fluidsmentioning

confidence: 99%

Pulsatile Flow of Thixotropic Fluids through a Partially-Constricted Tube

Nezamidoost

Sadeghy

Askari

2013

J. Soc. Rheol., Jpn

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Pulsatile flow of thixotropic fluids is investigated numerically in a partially-constricted tube assuming that the fluid obeys Moore's structural model as is constitutive equation. Assuming that the flow is laminar, incompressible, two-dimensional and axisymmetric, the equations of motion are simplified using lubrication theory. The simplified equations are then solved numerically using the finite difference method. A suitable coordinate transformation is used to immobilize the boundary of the tube. The effect of the structure breakdown/reformation parameters is investigated on the velocity field and wall shear stress distribution. The importance of the geometrical parameters of the constriction is also investigated on the flow characteristics.

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“…As a result of the presence of slip, the effective viscosity is reduced. 7 . In a recent study, Kumar,S 11 has considered the non-Newtonian blood flow through an elastic artery.…”

Section: Introductionmentioning

confidence: 99%

Study on the effect of non-Newtonian nature of blood flowing through an elastic artery with slip condition

2017

JCBSC

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A mathematical model is developed in the analysis for studying blood flow through an elastic artery with the consideration of slip velocity at the inner wall of the artery. Power law fluid model have been utilized in the study to account for the presence of red cells (erythrocytes) in plasma. The governing equations of Power law fluid model is solved analytically with slip and other appropriate boundary conditions. The effect of elastic nature of blood and power index on longitudinal velocity of blood are presented graphically for the model under consideration. The other expressions derived analytically and graphically reveal considerable alterations in flow characteristics due to the presence of elastic property of blood vessel and velocity slip at the wall.

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Pulsatile flow of Herschel–Bulkley fluid through catheterized arteries – A mathematical model

Cited by 64 publications

References 14 publications

Two-fluid Herschel-Bulkley model for blood flow in catheterized arteries

Two-fluid Herschel-Bulkley model for blood flow in catheterized arteries

Pulsatile Flow of Thixotropic Fluids through a Partially-Constricted Tube

Study on the effect of non-Newtonian nature of blood flowing through an elastic artery with slip condition

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