Unsteady Peristaltic Transport of MHD Fluid through an Inclined Stenosed Artery with Slip Effect

Kumari, S.; Rathee, Rajbala; Nanda, Jagdish

doi:10.37622/ijaer/14.8.2019.1881-1891

Cited by 6 publications

(7 citation statements)

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“…Hence, the blood velocity is greatly affected by the stenosed artery inclination angle. The outcomes for velocity are in agreement with the results published [11,16,21,25,28]. h .…”

Section: Numerical Results and Discussionsupporting

confidence: 92%

“…and other different values of various parameters as used by other researchers [11,16,21,25,28] Moreover, it is also found that blood velocity is controlled by choosing appropriate values of the magnetic field parameter and visco-elasticity parameter. Figure 4 shows the changes in the axial velocity ( ) , u r t versus r for different values of the inclination angle ψ .…”

Section: Numerical Results and Discussionmentioning

confidence: 93%

“…They discovered that fluid velocity decreases in the area of dialatation and skin friction increases at the extremities of the overlaping stenosis. Kumari et al [28] studied an unsteady MHD fluid with peristaltic transport with a slip effect past an inclined stenosed artery.…”

Section: Introductionmentioning

confidence: 99%

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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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“…Hence, the blood velocity is greatly affected by the stenosed artery inclination angle. The outcomes for velocity are in agreement with the results published [11,16,21,25,28]. h .…”

Section: Numerical Results and Discussionsupporting

confidence: 92%

Section: Numerical Results and Discussionmentioning

confidence: 93%

See 1 more Smart Citation

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 Lorentz force is able to oppose the motion of the blood flow because blood consists of red blood cells which contains ions. Similar results were obtained by Kumari et al, (2019) [1] and Sharma et al (2019) [4] who considered the navier slip. Figure 4 shows the effect of increasing body acceleration on axial velocity.…”

Section: Numerical Simulationsupporting

confidence: 88%

“…Mathematical modelling of blood flow in a stenosed artery under the presence of magnetic fields has been worked on by several researchers. Kumari et al, (2019) [1], Haghighi and Aliashrafi (2018) [3], Sharma et al (2019) [4], Rajashekhar et al (2017) [7], Mwanthi et al (2017) [8], Shit et al (2014) [6], studied Magnetohydrodynamics through a stenosed artery. Their studies revealed that the application of the magnetic field causes a decrease in axial speed of blood.…”

Section: Introductionmentioning

confidence: 99%

MHD Arterial Blood Flow and Mass Transfer under the Presence of Stenosis, Body Acceleration and Chemical Reaction: A Case of Magnetic Therapy

Mwapinga¹,

Mureithi²,

James³

et al. 2020

J. Math. Inf.

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A mathematical model has been developed and used to study pulsatile blood flow and mass transfer through a stenosed artery in the presence of body acceleration and magnetic fields. An explicit Finite Difference Method (FDM) has been used to discretize the formulated mathematical model. The discretized model equations were solved in MATLAB software to produce simulations. The effect of Hartman number, Reynolds number, Schmidt number, stenotic height, body acceleration and chemical reactions have been investigated. It has been observed that, the velocity, concentration and skin friction, decrease with increasing stenotic height. Velocity on the other hand increases, as body acceleration increases. It has further been observed that as the Hartman number increases, both the radial and axial velocities diminish. Increase of the Reynolds number results in the increase of the velocity profiles. The higher the chemical reaction parameter is, the lower are the concentration profiles.

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Clark’s Equation: A Useful Difference Equation for Population Models, Predictive Control, and Numerical Approximations

Liz

2020

Qual. Theory Dyn. Syst.

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Unsteady Peristaltic Transport of MHD Fluid through an Inclined Stenosed Artery with Slip Effect

Cited by 6 publications

References 0 publications

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

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

MHD Arterial Blood Flow and Mass Transfer under the Presence of Stenosis, Body Acceleration and Chemical Reaction: A Case of Magnetic Therapy

Clark’s Equation: A Useful Difference Equation for Population Models, Predictive Control, and Numerical Approximations

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