Pulsatile Flow of Blood in a Vessel Using an Oldroyd-B fluid

Sajid, Muhammad; Zaman, Asad; Ali, Nasir; Siddiqui, A. M.

doi:10.1515/ijnsns-2013-0133

Cited by 7 publications

(3 citation statements)

References 26 publications

(27 reference statements)

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“…The thickness of both layer is assumed constant. Based on this fact several authors for instance Maji and Nair [ 33 ], Massoudi and Phouc [ 29 ], Ikbal et al [ 31 ], Bugliarello and sevilla [ 34 ], Sulkla et al [ 35 ], Akay an Kaye [ 36 ], Pralhad and Schultz [ 37 ], Sajid et al [ 38 ] and Srivastava and Sexena [ 39 ] have used two-layered fluid model with constant peripheral thickness to study blood flow through arteries. We have followed these studies in our analysis.…”

Section: Resultsmentioning

confidence: 99%

Numerical and Analytical Study of Two-Layered Unsteady Blood Flow through Catheterized Artery

et al. 2016

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The pulsatile flow of blood in a catheterized blood vessel is analyzed. The flow of blood in vessel is modeled as the flow of two immiscible fluids. The fluid in the core region is characterized as a non-Newtonian viscoelastic fluid satisfying the constitutive equation of an Oldroyd-B fluid. The fluid in the peripheral region is treated as a Newtonian fluid. The catheter inside the vessel is modeled as a rigid tube of very small radius. The resulting differential system for velocity in each region is computed numerically by finite-difference scheme and analytically by Laplace transform. A comparison of numerical solution with Laplace transform solution is carried out. Various physical quantities of interest through the computed velocity are also analyzed.

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Section: Resultsmentioning

confidence: 99%

Numerical and Analytical Study of Two-Layered Unsteady Blood Flow through Catheterized Artery

et al. 2016

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“…Numerical studies of viscoelastic fluids in pulsating flows have also increased considerably in recent years, particularly because the instability or convergence issue at a high Weisenberg number (Wi) or Deborah number (De) has been successfully tackled with a variety of approaches that allow for stabilizing the numerical solution such as the log-conformation tensor approach, among others [ 73 ]. These techniques have allowed the development of numerical studies of the pulsatile flow of viscoelastic fluids in constricted stenosed arteries [ 74 ] and the analysis of the effect of body acceleration on the pulsatile flow of blood in a vessel [ 75 ].…”

Section: Pulsatile Flowmentioning

confidence: 99%

Hemodynamics Challenges for the Navigation of Medical Microbots for the Treatment of CVDs

2021

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Microbots have been considered powerful tools in minimally invasive medicine. In the last few years, the topic has been highly studied by researchers across the globe to further develop the capabilities of microbots in medicine. One of many applications of these devices is performing surgical procedures inside the human circulatory system. It is expected that these microdevices traveling along the microvascular system can remove clots, deliver drugs, or even look for specific cells or regions to diagnose and treat. Although many studies have been published about this subject, the experimental influence of microbot morphology in hemodynamics of specific sites of the human circulatory system is yet to be explored. There are numerical studies already considering some of human physiological conditions, however, experimental validation is vital and demands further investigations. The roles of specific hemodynamic variables, the non-Newtonian behavior of blood and its particulate nature at small scales, the flow disturbances caused by the heart cycle, and the anatomy of certain arteries (i.e., bifurcations and tortuosity of vessels of some regions) in the determination of the dynamic performance of microbots are of paramount importance. This paper presents a critical analysis of the state-of-the-art literature related to pulsatile blood flow around microbots.

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“…Massoudi and Phuoc [28] analysed the blood in the core region as a modified second grade fluid to study pulsatile flow of blood in a normal artery. Recently, Sajid et al [38] analysed the pulsatile flow of blood utilizing the constitutive equation of Oldroyd-B fluid to model the core region, and therein also elaborated on the effects of relaxation and retardation constants on various haemodynamic characteristics.…”

Section: Introductionmentioning

confidence: 99%

Unsteady Two-Layered Blood Flow Through a -Shaped Stenosed Artery Using the Generalized Oldroyd-B Fluid Model

Zaman¹,

Ali²,

Bég³

et al. 2016

ANZIAM J.

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A theoretical study of an unsteady two-layered blood flow through a stenosed artery is presented in this article. The geometry of a rigid stenosed artery is assumed to be $w$-shaped. The flow regime is assumed to be laminar, unsteady and uni-directional. The characteristics of blood are modelled by the generalized Oldroyd-B non-Newtonian fluid model in the core region and a Newtonian fluid model in the periphery region. The governing partial differential equations are derived for each region by using mass and momentum conservation equations. In order to facilitate numerical solutions, the derived differential equations are nondimensionalized. A well-tested explicit finite-difference method (FDM) which is forward in time and central in space is employed for the solution of a nonlinear initial boundary value problem corresponding to each region. Validation of the FDM computations is achieved with a variational finite element method algorithm. The influences of the emerging geometric and rheological parameters on axial velocity, resistance impedance and wall shear stress are displayed graphically. The instantaneous patterns of streamlines are also presented to illustrate the global behaviour of the blood flow. The simulations are relevant to haemodynamics of small blood vessels and capillary transport, wherein rheological effects are dominant.

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Pulsatile Flow of Blood in a Vessel Using an Oldroyd-B fluid

Cited by 7 publications

References 26 publications

Numerical and Analytical Study of Two-Layered Unsteady Blood Flow through Catheterized Artery

Numerical and Analytical Study of Two-Layered Unsteady Blood Flow through Catheterized Artery

Hemodynamics Challenges for the Navigation of Medical Microbots for the Treatment of CVDs

Unsteady Two-Layered Blood Flow Through a -Shaped Stenosed Artery Using the Generalized Oldroyd-B Fluid Model

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