Hemodynamic Characteristics of Gold Nanoparticle Blood Flow Through a Tapered Stenosed Vessel with Variable Nanofluid Viscosity

Elnaqeeb, Thanaa; Shah, Nehad Ali; Mekheimer, Kh. S.

doi:10.1007/s12668-018-0593-5

Cited by 58 publications

(12 citation statements)

References 52 publications

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“…Hossain et al ( 2013 ) attempted to predict the deposition of particles in a patient-specific arterial tree, but also considered blood to behave as a Newtonian fluid. The same approach was followed by others as well (Shaw et al 2014 ; Elnaqeeb et al 2019 ; Abdelsalam et al 2020 ; Ahmed et al 2020 ; Tripathi et al 2021 ) who considered nanoblood to behave as a Newtonian fluid with a viscosity that depends on the particle’s volume fraction using the Brickman model. Gentile et al (Gentile et al 2008 ; Gentile and Decuzzi 2010 ) analyzed mathematically the longitudinal transport of particles in blood vessels by considering blood to be rheologically described as a Casson fluid and derived an expression for the effective longitudinal diffusion.…”

Section: Introductionmentioning

confidence: 97%

Elucidating the rheological implications of adding particles in blood

Stephanou

2021

Rheol Acta

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Graphical abstract In the past few decades, nanotechnology has been employed to provide breakthroughs in the diagnosis and treatment of several diseases using drug-carrying particles (DCPs). In such an endeavor, the optimal design of DCPs is paramount, which necessitates the use of an accurate and trustworthy constitutive model in computational fluid dynamics (CFD) simulators. We herein introduce a continuum model for elaborating on the rheological implications of adding particles in blood. The model is developed using non-equilibrium thermodynamics to guarantee thermodynamic admissibility. Red blood cells are modeled as deformed droplets with a constant volume that are able to aggregate, whereas particles are considered rigid spheroids. The model predictions are compared favorably against rheological data for both spherical and non-spherical particles immersed in non-aggregating blood. It is expected that the use of this model will allow for the testing of DCPs in virtual patients and for their tailor-design in treating various diseases. Supplementary Information The online version contains supplementary material available at 10.1007/s00397-021-01289-x.

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Section: Introductionmentioning

confidence: 97%

Elucidating the rheological implications of adding particles in blood

Stephanou

2021

Rheol Acta

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“…Tang et al [5] propounded that when the blood pressure is low, stenotic vessels get collapsed and the perfusion of the area beyond stenosis is highly compromised leading to ischemia/infarct. Applications of micropolar fluids in biomedical sciences have received attention for blood flow in arteries [6][7][8].…”

Section: Introductionmentioning

confidence: 99%

An Analytical Approach to Study the Blood Flow over a Nonlinear Tapering Stenosed Artery in Flow of Carreau Fluid Model

Ahmad

Farooqi

et al. 2021

Complexity

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The current study provides an analytical approach to analyze the blood flow through a stenosed artery by using the Carreau fluid model. The flow governing equations are derived under the consideration of mild stenosis. Mathematical analysis has been carried out by considering the blood as non-Newtonian nature. Then, the analytical solution has been investigated by using the regular perturbation technique. The solutions obtained by this perturbation are up to the second-order in dimensionless Weissenberg number We . The performed computations of various parameter values such as velocity, wall shear stress, shear stress, and resistance impedance at the stenotic throat are discussed in detail for different values of Weissenberg number We . The obtained results demonstrate that for shear-thinning fluid, the fluid velocity increases with the increasing parameter m while opposite behavior is observed with the increase in We . Hence, the presented numerical analysis reveals many aspects of the flow by considering the blood as a non-Newtonian Carreau fluid model, and the presented model can be equally applicable to other bio-mathematical studies.

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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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Hemodynamic Characteristics of Gold Nanoparticle Blood Flow Through a Tapered Stenosed Vessel with Variable Nanofluid Viscosity

Cited by 58 publications

References 52 publications

Elucidating the rheological implications of adding particles in blood

Elucidating the rheological implications of adding particles in blood

An Analytical Approach to Study the Blood Flow over a Nonlinear Tapering Stenosed Artery in Flow of Carreau Fluid Model

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

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