A study on two-layered model (Casson–Newtonian) for blood flow through an arterial stenosis: Axially variable slip velocity at the wall

Ponalagusamy, R.; Selvi, R. Tamil

doi:10.1016/j.jfranklin.2011.06.020

Cited by 37 publications

(8 citation statements)

References 33 publications

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“…Blood plasma, which is a Newtonian fluid, is very similar in physical properties to water. It is considered very important in blood flow modelling through arterial stenosis [11,12]. Most investigations assume that blood exists in the core region of the artery as a non-Newtonian fluid, whereas plasma is found in the peripheral layer as a Newtonian fluid [12].…”

Section: Introductionmentioning

confidence: 99%

Effects of Viscous Dissipation on the Slip MHD Flow and Heat Transfer past a Permeable Surface with Convective Boundary Conditions

et al. 2011

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This paper presents an analysis of the energy exchange resulting from a 2D steady magnetohydrodynamics (MHD) flow past a permeable surface with partial slip in the presence of the viscous dissipation effect under convective heating boundary conditions. A magnetic field can effectively control the motion of an electrically conducting fluid in micro scale systems, which can be applied for fluid transportation. Local similarity solutions for the transformed governing equations are obtained, and the reduced ordinary differential equations solved numerically via an explicit Runge-Kutta (4, 5) formula, the Dormand-Prince pair and shooting method, which is valid for fixed positions along the surface. The effects of various physical parameters, such as the magnetic parameter, the slip coefficient, the suction/injection parameter, the Biot number, the Prandtl number and the Eckert number, on the flow and heat transfer characteristics are presented graphically and discussed. The results indicate that the heat transfer rate increases with the increase in Biot number, slip coefficient, suction and magnetic parameter, whereas it decreases with the increase in Eckert number and injection.

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Section: Introductionmentioning

confidence: 99%

Effects of Viscous Dissipation on the Slip MHD Flow and Heat Transfer past a Permeable Surface with Convective Boundary Conditions

et al. 2011

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“…In addition, Bugliarello, Sevilla [7] and Cokelet [10] have experimentally confirmed that there is a peripheral plasma layer (Newtonian viscous fluid) near the vessel wall and a central area of suspension of all erythrocytes as a non-Newtonian fluid when blood passes through the small blood vessels. Several authors [13,20,23] have examined the two-layered model of blood flow in a stenosed artery in which the central core region consisting of Casson fluid and the peripheral layer containing the Newtonian fluid.…”

Section: Introductionmentioning

confidence: 99%

Mathematical study on two-fluid model for flow of K–L fluid in a stenosed artery with porous wall

Ponalagusamy

Manchi

2021

SN Appl. Sci.

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The present communication presents a theoretical study of blood flow through a stenotic artery with a porous wall comprising Brinkman and Darcy layers. The governing equations describing the flow subjected to the boundary conditions have been solved analytically under the low Reynolds number and mild stenosis assumptions. Some special cases of the problem are also presented mathematically. The significant effects of the rheology of blood and porous wall of the artery on physiological flow quantities have been investigated. The results reveal that the wall shear stress at the stenotic throat increases dramatically for the thinner porous wall (i.e. smaller values of the Brinkman and Darcy regions) and the rate of increase is found to be 18.46% while it decreases for the thicker porous wall (i.e. higher values of the Brinkman and Darcy regions) and the rate of decrease is found to be 10.21%. Further, the streamline pattern in the stenotic region has been plotted and discussed.

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“…Blood is a suspension of different cells such as red and white blood cells, leukocytes, and platelets in a special liquid called plasma [11][12][13]. Chakravarty and Mandal [14] took blood flow as a non-linear and incompressible flow through a stenosed artery and investigated the blood flow characteristics considering the mentioned conditions. They noted that assumption of the vessels rigidity isn't acceptable, so the vessels is considered to be an elastic domain and the stenosis's geometries are considered as a time-dependent boundaries.…”

Section: Introductionmentioning

confidence: 99%

Mathematical modeling of pulsatile blood flow and heat transfer under magnetic and vibrating environment

Haghighi¹,

Aliashrafi²

2018

IJHT

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In the present study, a two-dimensional pulsatile blood flow model is created and the related heat transfer characteristics through a stenosed artery are investigated in the presence of a defined magnetic field with the body acceleration. The blood domain is assumed as a nonlinear, time-dependent, incompressible and laminar flow. The blood flow is considered with the unsteady characteristics because the pulsatile pressure gradient is arising due to the systematic reactions between the heart and the body acceleration. The non-linear momentum and continuity equations are solved with suitable initial and boundary conditions using the Crank-Nicolson scheme. In this study, the blood flow characteristics (velocity profiles, temperature, volumetric flow rate and flow resistance) are evaluated, also effects of the defined stenosis severity, the heat transfer factors and the considered magnetic field on the effective flow properties are discussed. Besides, the blood flow characteristics have been analyzed in a comparison form for two rigid and elastic arteries. Finally, it should be said that the present outputs are in good agreement with some available and validated results.

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A study on two-layered model (Casson–Newtonian) for blood flow through an arterial stenosis: Axially variable slip velocity at the wall

Cited by 37 publications

References 33 publications

Effects of Viscous Dissipation on the Slip MHD Flow and Heat Transfer past a Permeable Surface with Convective Boundary Conditions

Effects of Viscous Dissipation on the Slip MHD Flow and Heat Transfer past a Permeable Surface with Convective Boundary Conditions

Mathematical study on two-fluid model for flow of K–L fluid in a stenosed artery with porous wall

Mathematical modeling of pulsatile blood flow and heat transfer under magnetic and vibrating environment

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