Cu-blood flow model through a catheterized mild stenotic artery with a thrombosis

Elnaqeeb, Thanaa; Mekheimer, Kh. S.; Alghamdi, Felwah

doi:10.1016/j.mbs.2016.10.003

Cited by 63 publications

(24 citation statements)

References 27 publications

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“…2. The obtained HPM results are validated with the analytical results presented by Elnaqeeb et al [31] by comparing the temperature values. The details are presented in the description of table 2.…”

Section: Discussionsupporting

confidence: 60%

“…Further, the effects of various parameters arising out of the geometry and fluid considered on physiological flow properties such as the resistance of the flow and the wall shear stress are also computed and analysed. The fixed values of various parameters used in the computation are given as follows: In order to validate the scheme adopted, the analytical results obtained by Elnaqeeb et al [31] for temperature of viscous fluid flow are compared with the results obtained by us using HPM for the model discussed by Elnaqeeb et al [31] and for the model considered in the present…”

Section: Resultsmentioning

confidence: 99%

“…The solutions obtained by HPM are uniformly valid for parameters, irrespective of the nature of the parameter. Elnaqeeb et al [31] studied the impact of Copper nanoparticle volume fraction on the blood flow dynamics, during its flow through an asymmetric stenotic and catheterized arterial segment. Ellahi [32] studied the mathematical model for viscous fluid with nano-particles embedded in it.…”

Section: Introductionmentioning

confidence: 99%

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Impact of temperature and concentration dispersion on the physiology of blood nanofluid: links to atherosclerosis

2018

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A theoretical model of blood-silver nanofluid flow through an x-shaped tapered stenotic artery in the presence of a catheter is understood in detail. The rheology of the blood is considered as that of a micro-polar fluid. Suspension of the silver nano-particles in the micro-polar fluid is proposed to investigate the temperature and concentration dispersion from the immersed temperature-sensitive drug-coated nano-particles. The effects of velocity discontinuity at the arterial wall in the stenotic and non-stenotic regions are considered. The outer surface of the catheter is layered with the temperature-sensitive, drug-coated nano-particles. The resulting mathematical formulation involving the coupled non-linear momentum, temperature and concentration equations is solved using the Homotopy Perturbation Method. The efficiency and convergence of the method to the modelled equations are discussed in detail. The consequent effects of the fluid and geometric parameters on pressure drop, flow rate, impedance and wall shear stress of the fluid flow are computed. It is noticed that the high volume fraction of the nano-particles in the blood results in high flow velocity, contributing to secondary flow regions, thus resulting in higher shear stress. Such high volume fraction of the nano-particle may lead to the pathological disorder called aneurysm. This physical model has an important application of drug delivery in biomedical and pharmaceutical industry to prevent obstructions in arteries. Further, the results obtained could be very useful in the manufacturing of related artificial devices.

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Section: Discussionsupporting

confidence: 60%

Section: Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Impact of temperature and concentration dispersion on the physiology of blood nanofluid: links to atherosclerosis

2018

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“…The effect of a catheter on entropy generation in two-phase blood flow is analytically studied by Mekheimer et al [19]. Elnaqeeb et al [11] examined the influence of Cu nanoparticles on the flow of blood, assuming the rheology of blood as Newtonian fluid in a catheterized arterial stenosis with a clot. But it is well recognized that as it flows through small-diameter vessels at low shear rates, blood exhibits non-Newtonian fluid behavior [9,15,30].…”

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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“…A numerical study of blood flow in stenosis tube due to the magnetic field is studied by Varshney and Gaurav [15]. Many other papers discussed blood flow models in stenosed arteries [16][17][18][19].…”

Section: Introductionmentioning

confidence: 99%

Study of Magnetohydrodynamic Pulsatile Blood Flow through an Inclined Porous Cylindrical Tube with Generalized Time-Nonlocal Shear Stress

Shah

Al-Zubaidi

Saleem

2021

Advances in Mathematical Physics

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The effects of pulsatile pressure gradient in the presence of a transverse magnetic field on unsteady blood flow through an inclined tapered cylindrical tube of porous medium are discussed in this article. The fractional calculus technique is used to provide a mathematical model of blood flow with fractional derivatives. The solution of the governing equations is found using integral transformations (Laplace and finite Hankel transforms). For the semianalytical solution, the inverse Laplace transform is found by means of Stehfest’s and Tzou’s algorithms. The numerical calculations were performed by using Mathcad software. The flow is significantly affected by Hartmann number, inclination angle, fractional parameter, permeability parameter, and pulsatile pressure gradient frequency, according to the findings. It is deduced that there exists a significant difference in the velocity of the flow at higher time when the magnitude of Reynolds number is small and large.

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Cu-blood flow model through a catheterized mild stenotic artery with a thrombosis

Cited by 63 publications

References 27 publications

Impact of temperature and concentration dispersion on the physiology of blood nanofluid: links to atherosclerosis

Impact of temperature and concentration dispersion on the physiology of blood nanofluid: links to atherosclerosis

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

Study of Magnetohydrodynamic Pulsatile Blood Flow through an Inclined Porous Cylindrical Tube with Generalized Time-Nonlocal Shear Stress

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