Blood flow analysis in tapered stenosed arteries with the influence of heat and mass transfer

Liu, Yadong; Liu, Wenjun

doi:10.1007/s12190-020-01328-5

Cited by 14 publications

(18 citation statements)

References 24 publications

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“…Multiple stenoses are usually form at the femoral and pulmonary arteries [ 11 ]. Considering that fact, Varshney et al [ 11 ] and Liu and Liu [ 27 ] examined the non-Newtonian flow of blood, using the generalised power law and K-L models, respectively, through a straight artery with overlapping shaped stenosis.…”

Section: Introductionmentioning

confidence: 99%

Numerical solution of magnetohydrodynamics effects on a generalised power law fluid model of blood flow through a bifurcated artery with an overlapping shaped stenosis

Zain

Ismail

2023

PLoS ONE

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This paper presents a numerical analysis of blood flow in a diseased vessel within the presence of an external magnetic field. The blood flow was considered to be incompressible and fully developed, in that the non-Newtonian nature of the fluid was characterised as a generalised power law model for shear-thinning, Newtonian, and shear-thickening fluids. The impact of a transverse directed external magnetic field on blood flow through a stenosed bifurcated artery was investigated. The arterial geometry was considered as a bifurcated channel with overlapping shaped stenosis. The problem was treated mathematically using the Galerkin Least-Squares (GLS) method. The implementation of this numerical method managed to overcome the numerical instability faced by the classical Galerkin technique when adopted to a highly viscous flow. The benefit of GLS in circumventing the Ladyzhenskaya-Babuška-Brezzi (LBB) condition was utilized by evaluating both the velocity and pressure components at corner nodes of a unstructured triangular element. The non-linearity that emerged from the convective terms was then treated using the Newton-Raphson method, while the numerical integrals were computed using a Gaussian quadrature rule with six quadrature points. The findings obtained from this study were then compared with available results from the literature as well as Comsol multiphysics software to verify the accuracy and validity of the numerical algorithms. It was found that the application of magnetic field was able to overcome flow reversal by 39% for a shear-thinning fluid, 26% for a Newtonian fluid, and 27% for a shear-thickening fluid. The negative pressure and steep wall shear stress which occurs at the extremities of an overlapping stenosis throat were diminished by rise in magnetic intensity. This prevented thrombosis occurrence and produced a uniform calm flow.

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Section: Introductionmentioning

confidence: 99%

Numerical solution of magnetohydrodynamics effects on a generalised power law fluid model of blood flow through a bifurcated artery with an overlapping shaped stenosis

Zain

Ismail

2023

PLoS ONE

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“…e term bio-mathematics refers to the use of quantities and mathematical methods to solve biological problems [1,2]. e bio-mathematics is an interdisciplinary subject to understand the mechanical properties of living tissues, anatomy and physiology in health and illness, and introductory biomechanics: from cell to organisms, blood ow, and microcirculation [5][6][7]. Bio-uid mechanics is a wellestablished branch of bio-mathematics with the help of its normal functions, changed due to alternation via mathematical analysis [7].…”

Section: Introductionmentioning

confidence: 99%

Roll of Newtonian and Non-Newtonian Motion in Analysis of Two-Phase Hepatic Blood Flow in Artery during Jaundice

Singh

Khan

Kushwaha

et al. 2022

International Journal of Mathematics and Mathematical Sciences

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Biomathematics is an interdisciplinary subject consisting of mathematics and biology, which is widely applicable for the analysis of biological problems. In this paper, we provide a mathematical model of two-phase hepatic blood flow in a jaundice patient’s artery. The blood flow is thought to be a two-phased process. The clinical data of a jaundice patient (blood pressure and hemoglobin) is gathered. To begin, hemoglobin is transformed into hematocrit, and blood pressure is turned to a decline in blood pressure. For the examination of hepatic arteries in Newtonian and non-Newtonian movements, a mathematical model is constructed. The relationship between two-phase blood flow flux and blood pressure reduction in the hepatic artery is established. For various hematocrit levels, the blood pressure decrease is determined. The patient’s states are defined by the slope of the linear relationship between computed blood pressure decrease and hematocrit.

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“…They concluded that the suggested model is more efficacious in describing shear thinning for the blood flow behavior in comparison with Newtonian and Casson's models. Liu and Liu 26 in 2020, considered the blood flow as a K–L model and examined the impact of mass and heat transfer on it. Also, they studied the properties of blood flow.…”

Section: Introductionmentioning

confidence: 99%

Modify homotopy perturbation method using yang transform to study the effect of magnetic field with mass and heat transfer on pulsatile blood flow in tapered stenosis arteries

Al‐Griffi

Al‐Saif

2022

Heat Trans

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The effect of a magnetic field on two-dimensional pulsatile blood flow in tapered stenosis arteries was studied by employing the Yang transform homotopy perturbation method (YTHPM). The mathematical model which was solved by the researchers Liu and Liu, was successfully developed by adding the effect of a magnetic field for the blood flow in addition to the effect of mass and heat transfer on it. The impact of the angle of tapering, the Grashof number, the solutal Grashof number, and the magnetic field on the axial velocity, the wall shear stress, flow resistance, and the volumetric flow rate was investigated in two cases absence and presence of the magnetic field. The results prove that YTHPM is efficacious and highly accurate in finding the analytical approximate solution for pulsatile blood flow in tapered stenosis arteries under the influence of a magnetic field. The convergence of the new solutions is also discussed in the absence and presence of the magnetic field. Further, the graphs of these new solutions show the validity of, a necessity for, and utility of YTHPM, and are in line with results put forward by other studies.

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Blood flow analysis in tapered stenosed arteries with the influence of heat and mass transfer

Cited by 14 publications

References 24 publications

Numerical solution of magnetohydrodynamics effects on a generalised power law fluid model of blood flow through a bifurcated artery with an overlapping shaped stenosis

Numerical solution of magnetohydrodynamics effects on a generalised power law fluid model of blood flow through a bifurcated artery with an overlapping shaped stenosis

Roll of Newtonian and Non-Newtonian Motion in Analysis of Two-Phase Hepatic Blood Flow in Artery during Jaundice

Modify homotopy perturbation method using yang transform to study the effect of magnetic field with mass and heat transfer on pulsatile blood flow in tapered stenosis arteries

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