Numerical simulation of generalized newtonian blood flow past a couple of irregular arterial stenoses

Mustapha, Norzieha; Mandal, Prashanta Kumar; Abdullah, Imran Ho; Namin, Norsarahaida; Hayat, Tasawar

doi:10.1002/num.20563

Cited by 17 publications

(15 citation statements)

References 34 publications

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“…So, several studies were conducted by Misra et al [4], Minagar et al [5], Johnston and Kilpatrick [6], and Mustapha and Amin [7] to understand the effects of double stenoses on blood flow in arteries. A numerical investigation has been conducted for generalized Newtonian blood flows past a couple of irregular arterial stenoses [8].…”

Section: Introductionmentioning

confidence: 99%

Pulsatile Non-Newtonian Laminar Blood Flows through Arterial Double Stenoses

2014

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The paper presents a numerical investigation of non-Newtonian modeling effects on unsteady periodic flows in a two-dimensional (2D) pipe with two idealized stenoses of 75% and 50% degrees, respectively. The governing Navier-Stokes equations have been modified using the Cartesian curvilinear coordinates to handle complex geometries. The investigation has been carried out to characterize four different non-Newtonian constitutive equations of blood, namely, the (i) Carreau, (ii) Cross, (iii) Modified Casson, and (iv) Quemada models. The Newtonian model has also been analyzed to study the physics of fluid and the results are compared with the non-Newtonian viscosity models. The numerical results are represented in terms of streamwise velocity, pressure distribution, and wall shear stress (WSS) as well as the vorticity, streamlines, and vector plots indicating recirculation zones at the poststenotic region. The results of this study demonstrate a lower risk of thrombogenesis at the downstream of stenoses and inadequate blood supply to different organs of human body in the Newtonian model compared to the non-Newtonian ones.

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Section: Introductionmentioning

confidence: 99%

Pulsatile Non-Newtonian Laminar Blood Flows through Arterial Double Stenoses

2014

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“…The quantitative results of the α, β, n, δ, N t , andN b for diverging tapering, converging tapering, and non-tapered arteries are observed physically in Figures 2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22 that with an increase in the thermophoresis parameter N t and stenosis shape n, the velocity profile decreases, while velocity profile increases with an increase in the maximum height of the stenosis δ, Brownian motion parameter N b , and Prandtl parameters α and β. It is also seen that for the case of converging tapering, it has a larger value as compared with the case of diverging tapering and non-tapered arteries.…”

Section: Resultsmentioning

confidence: 99%

“…In another article, Nadeem and Akbar [12] revisited the flow analysis of Nadeem et al [11] for Jeffrey fluid. Mustafa et al [13] make the analysis of blood flow for the generalized Newtonian fluid through a couple of irregular arterial stenosis. Blood flow with an irregular stenosis in the presence of magnetic field has been touched by Abdullah et al [14].…”

Section: Introductionmentioning

confidence: 99%

Nanoparticle analysis for blood flow of Prandtl fluid model with stenosis

2013

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In this article, we have discussed blood flow in the nano-Prandtl fluid flow analysis in tapered stenosed arteries. The occurrence of nanoparticle fraction and heat transfer was found. Gravitational effects were also considered because the tube was taken vertically upward. Homotopy perturbation method was used to find the analytical solution of coupled nonlinear differential equations. Physical features have been discussed through graphs of concentration profile σ , velocity profile w, resistance impedance λ, temperature profile θ , wall shear stress S rz , wall shear stress at the stenosis throat τ s , and the stream lines.

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“…According to their observation the magnitude of the resistance impedance is higher for a micropolar fluid than that for a Newtonian fluid model. Numerical simulation of generalized Newtonian blood flow past a couple of irregular arterial stenosis have been presented by Mustapha et al [5]. They saw that in corresponding Newtonian model the generalized Newtonian fluid experiences higher pressure drop, lower peakwall shear stress and smaller separation region.…”

Section: Introductionmentioning

confidence: 97%

Biomechanical Analysis of Eyring Prandtl Fluid Model for Blood Flow in Stenosed Arteries

Akbar

Nadeem

Lee

2013

International Journal of Nonlinear Sciences and Numerical Simul

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In this article, we have examined biomechanical analysis of Eyring Prandtl fluid model for blood flow in stenosed arteries. Blood flow in arteries is an important phenomenon from biological and medical point of view. No one can survive without blood flow in tapered arteries. Blood flow is the continuous running of blood in the cardiovascular system. The human body is made up of several processes all carrying out various functions. We have the gastrointestinal system which aids the digestion and the absorption of food. We also have the respiratory system which is responsible for the absorption of O 2 and elimination of CO 2 . The urinary system removes waste from the body. The cardiovascular system helps to distribute food, O 2 and other products of metabolism. The reproductive system is responsible for perpetuating the species. The nervous and endocrine system is responsible for coordinating the integration and functions of other system. The equations govern the flow for considered model are presented in cylindrical coordinates. Perturbation solutions are developed in terms of small Eyring Prandtl fluid parameter β for the velocity, impedance resistance, wall shear stress and shearing stress at the stenosis throat. Three types of arteries i.e converging, diverging and non-tapered arteries have been considered for the analysis and discussion. Graphical results have been presented for different physical parameters of the flow problem. Streamlines have been plotted at the end of the article. We observed that due to increase in Eyring Prandtl fluid parameter α, β the stenosis shape n and maximum height of the stenosis δ the velocity profile increases.

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Numerical simulation of generalized newtonian blood flow past a couple of irregular arterial stenoses

Cited by 17 publications

References 34 publications

Pulsatile Non-Newtonian Laminar Blood Flows through Arterial Double Stenoses

Pulsatile Non-Newtonian Laminar Blood Flows through Arterial Double Stenoses

Nanoparticle analysis for blood flow of Prandtl fluid model with stenosis

Biomechanical Analysis of Eyring Prandtl Fluid Model for Blood Flow in Stenosed Arteries

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