Modeling and analysis of MHD two-phase blood flow through a stenosed artery having temperature-dependent viscosity

Tripathi, Bhavya; Sharma, Bhupendra K.; Sharma, Madhu

doi:10.1140/epjp/i2019-12813-9

Cited by 29 publications

(10 citation statements)

References 47 publications

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“…Dimensional initial and boundary slip conditions are (14) Dimensionless initial and boundary slip conditions are (15) depends on the porous material Non dimensional parameters in the governing equations and boundary conditions are transformed to dimensionless form.…”

Section: For and 3 Governing Equationmentioning

confidence: 99%

“…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. Karthikeyan and Jeevitha [15] did a study analysis on the effect of heat and mass transfer on a model in two phases for unsteady blood flow that is pulsatile past an artery with stenosis having a wall that is permeable with radiation and chemical reaction effects.…”

Section: Introductionmentioning

confidence: 99%

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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: For and 3 Governing Equationmentioning

confidence: 99%

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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“…Jha and Gwandu 27 studied MHD free convective flow down a vertical micro-channel with one channel wall surface having no slip and the other having super-hydrophobic properties. The impact of MHD with various other influential factors such as variable viscosity, Joule heating, radiation, and chemical reaction was studied by Tripathi et al 28–30 . Porous media has a wide range of applications in a variety of disciplines.…”

Section: Introductionmentioning

confidence: 99%

Modeling and analysis of magnetic hybrid nanoparticle (Au-Al2O3/blood) based drug delivery through a bell-shaped occluded artery with joule heating, viscous dissipation and variable viscosity effects

Gandhi

Sharma

Kumawat

et al. 2022

Proceedings of the Institution of Mechanical Engineers, Part E:

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The present work deals with the impact of hybrid nanoparticles (Au-Al2O3) on the blood flow pattern through a porous cylindrical artery with a bell-shaped stenosis in the presence of an external magnetic field, Joule heating, and viscous dissipation by considering two-dimensional pulsatile blood flow. The temperature-dependent viscosity model is utilized in this study. The blood flow is assumed to be unsteady, laminar, viscous, and incompressible. The mild stenotic presumption normalizes and reduces the bi-directional flow to uni-directional. The Crank-Nicolson scheme is applied to solve the continuity, momentum, and energy equations with appropriate initial and boundary conditions. Transport characteristics are visualized graphically for key dimensionless parameters such as Magnetic number ([Formula: see text]), Darcy number ( Da), Grashof number ( Gr), viscosity parameter ( β0), Reynolds number ( Re), Eckert Number ( Ec), Prandtl number ( Pr), different concentration of both the nanoparticles ( ϕ1, ϕ2), and pressure gradient parameter ( B1). The velocity contours for different emerging parameters have also been drawn to assess the overall behaviour of blood flow patterns. The non-dimensional velocity profile is enhanced with increment in values of Da, implying that the medium permeability provides less resistance to the flow. Increasing viscous dissipation ( Ec) and Joule heating ([Formula: see text]) parameter simultaneously raise the nanofluid temperature. Hybrid nanoparticles (Au-Al2O3/blood) effectively reduce hemodynamic variables such as wall shear stress and resistance (impedance). The present work finds applications in nano-mediated treatment of atherosclerosis and other diseases.

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“…According to their findings, radial curvature raises the risk of atherosclerosis, whereas heat radiation lowers it. Several other researchers [41][42][43][44][45][46][47][48] developed a mathematical model to illustrate the effect of variable viscosity on MHD flow.…”

Section: Introductionmentioning

confidence: 99%

Hall and ion slip effects on hybrid nanoparticles (Au-GO/blood) flow through a catheterized stenosed artery with thrombosis

Khanduri

Sharma

2022

Proceedings of the Institution of Mechanical Engineers, Part C:

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Present paper deals with the effect of Hall and ion slips on MHD blood flow through a catheterized multi-stenosis artery with thrombosis. Blood is considered a base fluid, and the suspension of Au and GO nanoparticles are used to form the hybrid nano-blood suspension. The hemodynamic mathematical model is presented to mimic the blood flow inside the artery subjected to Joule heating, thermal radiation, Hall and ion slip effects. The effect of the shape of nanoparticles and the variable viscosity depending upon hematocrit is taken into account. The mathematical model is presented in a curvilinear coordinate system, and a mild stenosis assumption is used to get the closed-form solutions. The reduced governing equations are solved using the Crank Nicholson scheme with “MATLAB.” The effect of various pertinent parameters on flow patterns are illustrated graphically. It is observed that increasing the Hall and ion slips parameter causes the increment in the fluid velocity due to an enhancement in the cyclotron frequency of the particles. The hybrid nanoparticles Au-GO/blood has a higher temperature profile than pure blood and unitary nanoparticles, as the thermal conductivity increases with an increase in nanoparticle concentration. Scientists and clinical researchers may find the present study useful in understanding the various illness’s conditions, including cancers, infections, and the removal of blood clots. Furthermore, current research may be helpful in the biomedical area, such as magnetic resonance angiography (MRA), which creates an image of an artery to identify any abnormalities in the artery. The current findings are consistent with recent findings in earlier blood flow research studies.

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Modeling and analysis of MHD two-phase blood flow through a stenosed artery having temperature-dependent viscosity

Cited by 29 publications

References 47 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

Modeling and analysis of magnetic hybrid nanoparticle (Au-Al2O3/blood) based drug delivery through a bell-shaped occluded artery with joule heating, viscous dissipation and variable viscosity effects

Hall and ion slip effects on hybrid nanoparticles (Au-GO/blood) flow through a catheterized stenosed artery with thrombosis

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