On micropolar fluid model for blood flow through narrow tubes

Chaturani, P.; Upadhya, V.S.

doi:10.3233/bir-1979-16606

Cited by 38 publications

(23 citation statements)

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“…The values of effective viscosity computed from the present model are in good agreement, within the acceptable range, with the corresponding values of the effective viscosity obtained in the theoretical models of Haynes [5], Chaturani and Upadhya [10,11] and Santhosh and Radhakrishnamacharya [24]. Further, for given values of yield stress (s p ), power-law index (n), slip (a), tube hematocrit (H 0 ) and Darcy number (Da), the effective viscosity (l eff ) increases with tube radius (a) (Figs.…”

Section: Resultssupporting

confidence: 82%

“…(17), (22) and (25)), have been numerically computed by using Mathematica software and the results are graphically presented in Figs. 2-19. In the present analysis, the following values are chosen: l p ¼ 1:2 centipoise (cp), l c ¼ 4:0 cp and d ¼ 1 À ðe=aÞ in which e = 3.12 lm for 40% hematocrit, 3.60 lm for 30% and 4.67 lm for 20% (Haynes [5], Chaturani and Upadhya [10]). The effects of various parameters on effective viscosity (l eff ) are shown in Figs.…”

Section: Resultsmentioning

confidence: 99%

“…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. Chamkha et al [12] considered a micropolar fluid flow in a vertical parallel plate channel with asymmetric heating.…”

Section: Introductionmentioning

confidence: 99%

“…The objective of this paper was to study the slip effect on Herchel-Bulkley fluid flow through narrow tubes. Following the analysis of Chaturani and Upadhya [10] and Vajravelu et al [20], the linearized equations of motion have been solved and analytical solution has been obtained. The analytical expressions for velocity, flow rate, effective viscosity, core hematocrit and mean hematocrit have been obtained.…”

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: Resultssupporting

confidence: 82%

Section: Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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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“…But it does not reduce the importance of shear stress calculation for pulsatile blood flow in vessels of cardiovascular system with dilation, obstruction or bifurcation. In final we compare our results for the axial velocity field with Bugliarello's experimental measurements [18] and the microrotation field of pulsatile flow through the rigid tube with Chaturani's exact solution [29] in Figures 12 and 13, respectively.…”

Section: Resultsmentioning

confidence: 87%

Continuous Model for Dispersion of Discrete Blood Cells with an ALE Formulation of Pulsatile Micropolar Fluid Flow in Flexible Tube

Maddah

Navidbakhsh

Atefi

2013

Journal of Dispersion Science and Technology

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In this article, the problem of pulsatile micropolar fluid flow through an elastic vessel has been studied. An arbitrary Lagrangian-Eulerian (ALE) formulation for the governing equations has been produced to model the fully coupled fluid-structure interaction (FSI) and has been solved numerically using the finite difference scheme by exploiting a mesh generation technique leading to a uniformly spaced grid in the computational plane. This model is best for simulation of unsteady flows or the flow of many suspensions (e.g., blood cell dispersion in plasma through the arteries), without involving in difficulties of discrete cells modeling. The comparison with different experimental results for blood flow shows that this simulation error is just 3.1% versus the classical Newtonian model, which has an approximate 16% error. The magnitude of shear stress in the blood flow field is the main factor for increases in damage to the cells; the respective results have been presented as well.

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