Mathematical analysis of hybrid mediated blood flow in stenosis narrow arteries

Hussain, Azad; Sarwar, Lubna; Rehman, Aysha; Mdallal, Qasem Al; Almaliki, Abdulrazak H.; El-Shafay, A.S.

doi:10.1038/s41598-022-15117-6

Cited by 19 publications

(6 citation statements)

References 32 publications

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“…More recent research employed mathematical modeling and gold nanoparticles to investigate their impact on blood flow and clotting risk in these arterial conditions [22,27]. Hussain et al [28] utilized mathematical modeling techniques and found that nanoparticles could enhance blood flow and reduce the risk of blood clots in narrow arteries affected by stenosis. However, it is important to acknowledge the potential risks associated with nanoparticle use.…”

Section: Introductionmentioning

confidence: 99%

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MHD flow of the novel quadruple hybrid nanofluid model in a stenosis artery with porous walls and thermal radiation: A Sisko model‐based analysis

Omama,

Arafa,

Elsaid

et al. 2024

Z Angew Math Mech

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This study introduces a mathematical model that describes the Magnetohydrodynamics (MHD) flow of blood in a porous stenosis artery, incorporating a new hybrid nanofluid (HNF) model known as ‘Quadruple’ or the tetra‐(HNF) model. An innovative aspect of this study lies in the unexplored combination of tetra‐hybrid nanoparticles with the Sisko rheological model. The conventional Tiwari and Das (HNF) model has been expanded to accommodate the tetra‐(HNFs) case. To transform the governing partial differential equations into ordinary differential equations, a series of variable similarity transformations are employed. The resulting highly nonlinear simultaneous equations are efficiently solved using the shooting method. Numerical computations are conducted to investigate various parametric conditions, and graphs are utilized to visualize notable aspects of flow velocity and temperature. A comprehensive analysis is provided to illustrate the influence of flow parameters on wall shear stress and local Nusselt number, which are depicted through figures and tables. The study shows that the novel tetra‐HNF exhibits enhancements in blood flow when compared to nanofluids with a lower number of hybrids. Increasing the flow power index of non‐Newtonian Sisko model leads to improve convective heat transfer. Furthermore, parameters such as porosity, thermal radiation, and magnetic effects exhibit noticeable impacts on blood flow, temperature, and associated risks in constricted arteries.

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Section: Introductionmentioning

confidence: 99%

“…Hussain et al. [28] utilized mathematical modeling techniques and found that nanoparticles could enhance blood flow and reduce the risk of blood clots in narrow arteries affected by stenosis. However, it is important to acknowledge the potential risks associated with nanoparticle use.…”

Section: Introductionmentioning

confidence: 99%

MHD flow of the novel quadruple hybrid nanofluid model in a stenosis artery with porous walls and thermal radiation: A Sisko model‐based analysis

Omama,

Arafa,

Elsaid

et al. 2024

Z Angew Math Mech

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show abstract

“…To enhance the effectiveness and efficiency of the heat transfer system, nanotechnology is introduced by suspending metallic and non-metallic nanoparticles in conventional fluids, which are known as nanofluids and were first introduced by Choi 22 . This enhancement method is important in many industries sector, such as biomedical, automotive, aerospace, petrochemical, and manufacturing 26 – 28 . The term "nanofluid" refers to a fluid adequately disseminated in conventional heat transfer fluids and contains solid nanoparticles or nanofibers with small volumetric amounts of nanometer-sized particles.…”

Section: Introductionmentioning

confidence: 99%

Unsteady natural convection flow of blood Casson nanofluid (Au) in a cylinder: nano-cryosurgery applications

Azmi

Mohamad

Jiann

et al. 2023

Sci Rep

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Nano-cryosurgery is one of the effective ways to treat cancerous cells with minimum harm to healthy adjacent cells. Clinical experimental research consumes time and cost. Thus, developing a mathematical simulation model is useful for time and cost-saving, especially in designing the experiment. Investigating the Casson nanofluid's unsteady flow in an artery with the convective effect is the goal of the current investigation. The nanofluid is considered to flow in the blood arteries. Therefore, the slip velocity effect is concerned. Blood is a base fluid with gold (Au) nanoparticles dispersed in the base fluid. The resultant governing equations are solved by utilising the Laplace transform regarding the time and the finite Hankel transform regarding the radial coordinate. The resulting analytical answers for velocity and temperature are then displayed and visually described. It is found that the temperature enhancement occurred by arising nanoparticles volume fraction and time parameter. The blood velocity increases as the slip velocity, time parameter, thermal Grashof number, and nanoparticles volume fraction increase. Whereas the velocity decreases with the Casson parameter. Thus, by adding Au nanoparticles, the tissue thermal conductivity enhanced which has the consequence of freezing the tissue in nano-cryosurgery treatment significantly.

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“…Research investigators keep their attention on blood flow through arteries with mule stenosis. The behavior of the flow of blood as a nanofluid through a stenosed artery was studied by Hussain et al [2]. They used similarity transformation for the solution of a differential equation.…”

Section: Introductionmentioning

confidence: 99%

Comparative analysis of numerical simulations of blood flow through the segment of an artery in the presence of stenosis

Shaikh¹,

Hınçal²,

Shaikh³

2023

J. Appl. Math. Comput. Mech.

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A mathematical model is developed to study the characteristics of blood flowing through an arterial segment in the presence of a single and a couple of stenoses. The governing equations accompanied by an appropriate choice of initial and boundary conditions are solved numerically by Taylor Galerkin's time-stepping equation, and the numerical stability is checked. The pressure, velocity, and stream functions have been solved by Cholesky's method. Furthermore, an in-depth study of the flow pattern reveals the separation of Reynolds number for the 30 and 50% blockage of single stenosis and 30% blockage of multi-stenosis. The present results predict the excess pressure drop across the stenosis site than it does for the inlet of the artery with single and multiple stenosis and the increase in the velocity is observed at the center of the artery.

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Mathematical analysis of hybrid mediated blood flow in stenosis narrow arteries

Cited by 19 publications

References 32 publications

MHD flow of the novel quadruple hybrid nanofluid model in a stenosis artery with porous walls and thermal radiation: A Sisko model‐based analysis

MHD flow of the novel quadruple hybrid nanofluid model in a stenosis artery with porous walls and thermal radiation: A Sisko model‐based analysis

Unsteady natural convection flow of blood Casson nanofluid (Au) in a cylinder: nano-cryosurgery applications

Comparative analysis of numerical simulations of blood flow through the segment of an artery in the presence of stenosis

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