Two-layered model of blood flow through stenosed arteries

Haldar, K.; Andersson, Helge I.

doi:10.1007/bf01181050

Cited by 47 publications

(27 citation statements)

References 2 publications

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“…In the region between r ¼ r 0 and r ¼ b, we have s rz P s 0 : Let u ¼ v 1 ðrÞ be the velocity in the peripheral region and v 2 ðrÞ in the core region. Then the equations governing the flow of fluid are (Haldar and Andersson [9] and Vajravelu et al [20]) as follows:…”

Section: Formulation Of the Problemmentioning

confidence: 99%

“…Sharan and Popel [7] and Srivastava [8] have reported that for blood flowing through narrow tubes, there is a peripheral layer of plasma and a core region of suspension of all erythrocytes. Haldar and Andersson [9] have studied a two-layered blood flow model in which the core region is occupied by a Casson type fluid and peripheral region by Newtonian fluid. Chaturani and Upadhya [10,11] analyzed two-fluid model by assuming Newtonian fluid in peripheral region and polar fluids in core region.…”

Section: Introductionmentioning

confidence: 99%

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Effect of slip on Herschel–Bulkley fluid flow through narrow tubes

Nallapu

Radhakrishnamacharya

Chamkha

2015

Alexandria Engineering Journal

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A two-fluid model of Herschel-Bulkley fluid flow through tubes of small diameters and slip at the wall is studied. It is assumed that the core region consists of Herschel-Bulkley fluid and Newtonian fluid in the peripheral region. Following the analysis of Chaturani and Upadhya, the equations of motion have been linearized and analytical solution for velocity, flow flux, effective viscosity, core hematocrit and mean hematocrit has been obtained. The expressions for all these flow relevant quantities have been numerically computed by using Mathematica software and the effects of various relevant parameters on these flow variables have been studied. It is found that effective viscosity, core hematocrit and mean hematocrit of Newtonian fluid are less than those for Bingham fluid, power-law fluid and Herschel-Bulkley fluid. Effective viscosity increases with the yield stress, power-law index, slip and tube hematocrit but decreases with Darcy number. It is observed that the effective viscosity and mean hematocrit increase with tube radius but the core hematocrit decreases with tube radius. Further, it is noticed that the flow exhibits the anomalous Fahraeus-Lindqvist effect. ª 2015 Production and hosting by Elsevier B.V. on behalf of Faculty of Engineering, Alexandria University. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/ licenses/by-nc-nd/4.0/).

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Section: Formulation Of the Problemmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Effect of slip on Herschel–Bulkley fluid flow through narrow tubes

Nallapu

Radhakrishnamacharya

Chamkha

2015

Alexandria Engineering Journal

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“…The problem studied in [15] was revisited for a pulsatile flow with body acceleration by Majhi and Nair [16]. In another paper Halder and Anderson [17] investigated the blood flow in a cosine shape artery using a Casson fluid in the core. The pulsatile nature of blood flow through a stenosed and tapered artery with the wall motion is analyzed by Mandal [18,19].…”

Section: Introductionmentioning

confidence: 98%

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

Sajid

Zaman

Ali

et al. 2015

International Journal of Nonlinear Sciences and Numerical Simulation

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This paper is concerned with the effects of body acceleration on an unsteady pulsatile flow of blood in a vessel. The non-Newtonian behavior of blood is modeled by the constitutive equation of an Oldroyd-B fluid. The behavior of the blood is assumed as an Oldroyd-B fluid in the core and a viscous fluid in the periphery. This new model predicts the relaxation and retardation phenomena in a pulsatile flow. Our interest lies in investigating the effects of stress relaxation and retardation in unsteady pulsatile flow of an Oldroyd-B fluid. The modeled equations are normalized and solved numerically using finite difference method. The results are graphically displayed and influence of the pertinent parameter on various physical quantities of interest is analyzed.

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“…Later, Majhi and Nair [28] studied the same problem under the effect of body acceleration and pulsatile conditions. Haldar and Andersson [29] modeled the core region as a Casson fluid and studied blood flow through an artery with a cosine-shaped constriction. Mandal [30,31] used a generalized power-law model to numerically study the blood flow through a stenosed artery.…”

Section: Introductionmentioning

confidence: 99%

Pulsatile flow of blood using a modified second-grade fluid model

Massoudi

Phuoc

2008

Computers & Mathematics with Applications

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We study the unsteady pulsatile flow of blood in an artery, where the effects of body acceleration are included. The blood is modeled as a modified second-grade fluid where the viscosity and the normal stress coefficients depend on the shear rate. It is assumed that the blood near the wall behaves as a Newtonian fluid, and in the core as a non-Newtonian fluid. This phenomenon is also known as the Fahraeus-Lindqvist effect. The equations are made dimensionless and solved numerically. Published by Elsevier Ltd

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Two-layered model of blood flow through stenosed arteries

Cited by 47 publications

References 2 publications

Effect of slip on Herschel–Bulkley fluid flow through narrow tubes

Effect of slip on Herschel–Bulkley fluid flow through narrow tubes

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

Pulsatile flow of blood using a modified second-grade fluid model

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