Slip Effects on Pulsatile Flow of Blood through a Stenosed Arterial Segment under Periodic Body Acceleration

Sinha, A.; Shit, G. C.; Kundu, Prabir Kumar

doi:10.1155/2013/925876

Cited by 15 publications

(3 citation statements)

References 30 publications

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“…Sinha et al [13] did a study on the slip and periodic body acceleration effect on pulsatile flow of blood passing through a segmented stenosed artery. Tripathi and Sharma [14] did a study on heat and mass transfer effects of a blood flow two phases which is pulsatile past a stenosed artery that is narrow with chemical reaction and radiation.…”

Section: Introductionmentioning

confidence: 99%

Treatment and Slip Effect on MHD Blood Flow through a Stenotic Artery: A Mathematical Model

Omamoke

Amos

2023

ARJOM

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Theoretical study of the treatment and slip effect on Magneto-hydrodynamic (MHD) blood flow through a stenotic artery where the porous wall and the boundary slip at the wall of the artery have a significant effect on the blood flow was investigated. The magnetic field is applied radially on the stenotic region of the artery with blood flowing axially. Dimensionless governing equations was solved using Frobenius series method to obtain a solution for the velocity of the blood flow, blood concentration, wall shear stress, fluid acceleration and the volumetric flow rate. The Results showed that, an increase in the chemical reaction increased the blood viscosity causing a decrease in the blood velocity, acceleration and shear stress at the wall but increases the volumetric flow rate of the blood. Increased slip at the wall with stenosis decreases the blood velocity, acceleration and volumetric flow rate but causes an increase in the wall shear stress.

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Section: Introductionmentioning

confidence: 99%

Treatment and Slip Effect on MHD Blood Flow through a Stenotic Artery: A Mathematical Model

Omamoke

Amos

2023

ARJOM

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“…Saddiqui, et al [15] studied the effect of both the slip velocity and body acceleration on the pulsatile blood flow on a casson fluid though an artery with stenosis. Sinha et al [16] did a study on the effect of slip on pulsatile blood flow through an artery with stenosed segment with the influence of body acceleration that is periodic. Considering the slip velocity at the wall of the artery the body acceleration which is periodic, has an influence on the blood flow through an artery with a stenosed segment that is time dependent.…”

Section: Introductionmentioning

confidence: 99%

MHD Pulsatile Blood Flow Through an Inclined Stenosed Artery with Body Acceleration and Slip Effects

Amos¹,

Omamoke²,

Nwaigwe³

2022

IJTAM

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In this work, the combined effect of slip velocity, pulsatility of the blood flow and body acceleration effect on Newtonian unsteady blood flow past an artery with stenosis and permeable wall is theoretically studied with results discussed. The magnetic field is applied to the stenosed artery with permeable walls which is inclined at a varying angle with the fluid considered to be electrically conducting non-Newtonian elastic-viscous fluid. The momentum equation was transformed from dimensional form to dimensionless form with the Frobenius power series method used to solve the axially symmetric differential momentum equation with suitable boundary conditions. For clarity of the applicability of the study, results was shown graphically with behavior of the blood flow through the artery with stenosis shown for the velocity in the axial direction, blood acceleration, wall shear stress and volumetric flow rate. Results showed that, an increase in the body acceleration Go and pulsatile pressure Pl causes an increase in the blood flow, blood acceleration, shear stress at the artery walls and volumetric flow rate. The increase in the magnetic field M causes a decrease in the blood flow velocity, blood acceleration, shear stress at the artery walls and volumetric flow rate. The increase in the artery inclination ϕ results to an increase in the blood flow velocity, wall shear stress and the volumetric flow rate but an irregular behavior in the blood acceleration while the increase in slip velocity h at the wall decreases the velocity and blood acceleration, while the shear stress at the wall increases and the volumetric flow rate decreases.

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“…They found that temperature field reduces with the enhancement of the slip parameter and Jeffrey parameter. Sinha et al [19] examined the influence of slip on flow of blood in a constricted artery under the impact of body acceleration. They showed that flow resistance enhances with the stenosis height increase and velocity slip increase.…”

Section: Introductionmentioning

confidence: 99%

Visco-Elastic Fluid Model in an Inclined Porous Stenosed Artery with Slip Effect and Body Acceleration

Manisha

Kumar

2022

International Journal of Applied Mechanics and Engineering

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The present paper analyzes an unsteady magnetohydrodynamic blood flow model of an visco-elastic fluid through an inclined porous stenosed artery with body acceleration and slip effect. Navier-Stokes equations have been used to describe the blood flow model. The governing equation of blood flow is solved by an analytic method by considering blood as an incompressible, visco-elastic fluid, and suspension of RBC’s in plasma. Axial velocity, blood acceleration, flow rate, and shear stress are derived numerically by using the finite Laplace and Hankel transformation and their inverse. The effect of parameters such as the visco-elasticity parameter, Womersley number, Hartmann number, inclination angle, parameter of slip, and body acceleration frequency is analyzed. Axial velocity reduces as the Hartmann number and visco-elasticity parameter enhance and it enhances with the enhancement of the slip parameter and inclination angle. The study is beneficial for finding the effect of slip parameter, porosity factor and Hartmann number when a human body is exposed to MRI and CT scan.

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Slip Effects on Pulsatile Flow of Blood through a Stenosed Arterial Segment under Periodic Body Acceleration

Cited by 15 publications

References 30 publications

Treatment and Slip Effect on MHD Blood Flow through a Stenotic Artery: A Mathematical Model

Treatment and Slip Effect on MHD Blood Flow through a Stenotic Artery: A Mathematical Model

MHD Pulsatile Blood Flow Through an Inclined Stenosed Artery with Body Acceleration and Slip Effects

Visco-Elastic Fluid Model in an Inclined Porous Stenosed Artery with Slip Effect and Body Acceleration

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