Blood Flow Through an Artery with Mild Stenosis: 
 A Two-layered Model, Different Shapes of Stenoses and Slip Velocity at 
 the Wall

Ponalagusamy, R.

doi:10.3923/jas.2007.1071.1077

Cited by 68 publications

(12 citation statements)

References 17 publications

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“…A number of theoretical studies of suspensions in general and blood flow in particular are given by Jones [13], Nuber [14], Brunn [15], and experimental studies by Bugliarello and Hayden [16]; Bennet [17], suggest the likely presence of slip (a velocity discontinuity) at the flow boundaries (or in their immediate neighbourhood). Misra and Shit [18], Ponalgusamy [19], have developed mathematical models for blood flow through stenosed arterial segment, by taking a velocity slip condition at the constricted wall.…”

Section: Introductionmentioning

confidence: 99%

Pulsatile MHD Flow in an Inclined Catheterized Stenosed Artery with Slip on the Wall

Sharma¹,

Singh²,

Bansal³

2014

JBiSE

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Catheter is commonly used by the surgeons for various reasons in the treatment of a patient suffering with cardiovascular diseases. Catheterization increases the mean flow resistance in the arterial blood flow and many other complications are associated with the presence of catheter in the artery. Effects of catheter in stenosed artery can be estimated non-invasively by means of hemodynamic indicator-WSS, WSSG, volume flow rate and impedance. The effect of slip at the arterial wall, inclination of the artery and magnetic field on the hemodynamic indicators and flow profiles are computed, presented and discussed through graphs.

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Section: Introductionmentioning

confidence: 99%

Pulsatile MHD Flow in an Inclined Catheterized Stenosed Artery with Slip on the Wall

Sharma¹,

Singh²,

Bansal³

2014

JBiSE

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“…The author obtained increasing impedance for hematocrit, stenosis size, and catheter size but decreasing impedance for shape parameter. Ponalagusamy [22] developed an analysis which may be provided more correct results of the blood apparent viscosity, deformability, rigidity and agreeability of red cells. Srivastava [23] presented a brief review of the literature on artery catheterization with and without stenosis.…”

Section: Rdms000803 13(1)2020mentioning

confidence: 99%

Blood Flow Analysis Inside A Stenotic Artery Using Power-Law Fluid Model

Nasrin

Hossain

Zahan³

2020

RDMS

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This paper is devoted to study numerically a recent development of a non-Newtonian blood flow model for a stenosed artery in human blood vessel. For numerical investigation the blood flow modeling method of this research begins with non-Newtonian power-law model. The governing system of equation based on incompressible Navier-Stokes equations with externally imposed magnetic resonance has been generalized to take into account the mechanical properties of blood. The intent of this research is to examine the effects of inlet velocity and imposed magnetic field on the blood flow throughout the artery. The Galerkin's weighted residual method of finite element system has been employed to resolve the governing system of equation with proper boundary conditions. The numerical simulation has been conducted for various inlet velocities from 0.005 to 0.1m/s and magnetic field strength from 0 to 6 tesla with superior convergence of the iterative structure. Results have been shown in terms of velocity, surface plot of velocity, pressure and viscosity contours. Cross-sectional plots of velocity and viscosity magnitudes across the stenotic contraction have also been displayed graphically. Obtained results of the blood flow simulations indicate that viscosity increases due to increasing values of inlet velocity of blood and magnetic strength.

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“…However, there is no direct formula to compute the magnitude of slip velocity. Having said that, Ponalagusamy [51] examined the two-layered blood flow in a stenosed artery with different shapes of stenosis at a non-zero slip velocity boundary condition. He found analytical expressions for slip velocity, core viscosity and peripheral layer thickness.…”

Section: Introductionmentioning

confidence: 99%

Influence of Electromagnetic Field and Thermal Radiation on Pulsatile Blood Flow with Nanoparticles in a Constricted Porous Artery

Selvi

Ponalagusamy

Padma

2021

Int. J. Appl. Comput. Math

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A theoretical model is proposed to investigate the coupled effects of thermal radiation and electromagnetic field on the blood flow in a stenosed tapered artery. Here, blood is treated as a non-Newtonian Jeffrey fluid model which includes magnetic particles. The magnetohydrodynamic flow is pulsatile, and exhibits slip velocity at the complaint wall. The flow medium consists of a cylindrical rigid tube with porous medium that is subjected to periodic body acceleration, transverse external magnetic field and applied electric field in the axial direction. Assuming the existence of mild stenosis, a set of flow governing equations is solved using integral transform method. Further, exact solutions are computed for non-dimensional temperature and velocity profiles of fluid and particles. Additionally, equations for different flow characteristics such as wall shear stress, volumetric flow rate, and flow resistance are derived and discussed through graphical illustrations. Results demonstrate that the temperature of blood increases with the increase of heat absorption coefficient and time. However, the temperature decreases with the increase of radiation number and Peclet number. While the velocity profile is directly proportional to the Grashof number and heat absorption coefficient, it is inversely proportional to the radiation number and Peclet number. The applied electric field diminishes the magnitude of fluid's flow resistance, but it increases with the increase of the magnetic field strength. By combining heat radiation with electromagnetic field, this study contributes to new insights to the physical properties of blood.

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Blood Flow Through an Artery with Mild Stenosis: A Two-layered Model, Different Shapes of Stenoses and Slip Velocity at the Wall

Cited by 68 publications

References 17 publications

Pulsatile MHD Flow in an Inclined Catheterized Stenosed Artery with Slip on the Wall

Pulsatile MHD Flow in an Inclined Catheterized Stenosed Artery with Slip on the Wall

Blood Flow Analysis Inside A Stenotic Artery Using Power-Law Fluid Model

Influence of Electromagnetic Field and Thermal Radiation on Pulsatile Blood Flow with Nanoparticles in a Constricted Porous Artery

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