A study of non-newtonian aspects of blood flow through stenosed arteries and its applications in arterial diseases

Chaturani, P.; Samy, Rp

doi:10.3233/bir-1985-22606

Cited by 136 publications

(74 citation statements)

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“…Blood flow in arteries has been studied by many researchers considering the flow of blood as a two phase flow. Several investigations of multi-phase flows are reported by various researchers (e.g., Bird et al, 1960;Kapur, 1964;Bhattacharya, 1968;Chaturani and Samy, 1985;Rao and Usha, 1979;Bakhtiyarov and Siginer, 1997). The flow and heat transfer in immiscible fluids are of special importance in the petroleum extraction and transport problem.…”

Section: Introductionmentioning

confidence: 99%

Thermodynamic Analysis for the MHD Flow of Two Immiscible Micropolar Fluids Between Two Parallel Plates

Jangili¹,

Murthy²

2015

Frontiers in Heat and Mass Transfer

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The paper aims the heat transfer analysis for the flow of two immiscible micropolar fluids inside a horizontal channel, by the first and second laws of thermodynamics under the action of an imposed transverse magnetic field. The plates of the channel are maintained at constant temperatures higher than that of the fluid. The flow region consists of two zones, the flow of the heavier fluid taking place in the lower zone. The condition of hyper-stick is taken on the plates and continuity of velocity, micro-rotation, temperature, heat flux, shear stress and couple stress are imposed at the interface. The velocity, micro-rotation and temperature profiles are derived analytically and these are used to compute the dimensionless expressions for the entropy generation number and Bejan number. The results are presented graphically. It is observed that the imposed magnetic field reduces the entropy production rate near the walls.

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Section: Introductionmentioning

confidence: 99%

Thermodynamic Analysis for the MHD Flow of Two Immiscible Micropolar Fluids Between Two Parallel Plates

Jangili¹,

Murthy²

2015

Frontiers in Heat and Mass Transfer

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“…Several authors have reported theoretical and experimental studies of the pressure flow relationship for different fluids (such as Newtonian, power-law, and Bingham) in tubes. However, it has been pointed out that in smaller blood vessels at low shear rates, the yield stress for the blood is non-zero and the blood behaves as a non-Newtonian fluid (for details see Chaturani and Ponnalagar [12] and Srivastava and Sexena [13]). The non-Newtonian character of blood is typical in small arteries and veins (where the presence of cells induces that specific behavior).…”

Section: Introductionmentioning

confidence: 99%

“…Recently, Vajravelu et al [19] studied the peristaltic pumping of a Herschel-Bulkley fluid in an inclined tube. Available literature on non-Newtonain fluid model namely, HerschelBulkley fluid model with low shear rates [20][21][22][23][24][25] under different physical situations shows that not much work has been carried out with elastic tubes.…”

Section: Introductionmentioning

confidence: 99%

Mathematical model for a Herschel-Bulkley fluid flow in an elastic tube

et al. 2011

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Abstract:The constitution of blood demands a yield stress fluid model, and among the available yield stress fluid models for blood flow, the Herschel-Bulkley model is preferred (because Bingham, Power-law and Newtonian models are its special cases). The Herschel-Bulkley fluid model has two parameters, namely the yield stress and the power law index. The expressions for velocity, plug flow velocity, wall shear stress, and the flux flow rate are derived. The flux is determined as a function of inlet, outlet and external pressures, yield stress, and the elastic property of the tube. Further when the power-law index = 1 and the yield stress τ 0 → 0, our results agree well with those of Rubinow and Keller [J. Theor. Biol. 35, 299 (1972)]. Furthermore, it is observed that, the yield stress and the elastic parameters ( 1 and 2 ) have strong effects on the flux of the non-Newtonian fluid flow in the elastic tube. The results obtained for the flow characteristics reveal many interesting behaviors that warrant further study on the non-Newtonian fluid flow phenomena, especially the shear-thinning phenomena. Shear thinning reduces the wall shear stress.

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“…The blood may be represented as Newtonian fluid and the flow of the blood is in two layered. Lightfoot [5], Shukla et al [6] and Chaturani [7]. Bird et al [8] found an exact solution for the laminar flow of two immiscible fluids between two parallel plates.…”

Section: Introductionmentioning

confidence: 99%

Non Darcian Approach to Flow of an Incompressible Viscous Fluid Between Two Semi-Infinite Parallel Plates Partially Filled With Highly Porous Medium

K.¹

2018

IJASTR

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The aim of the present paper is to investigate the flow of an incompressible viscous fluid between two semi-infinite parallel plates. The space between the parallel plates is filled partially with highly porous medium. The flow will be two phase flow one in clear region and an other in porous region. The expressions for fluid velocities in both regions and flow rate are obtained sophisticatedly. The effect of permeability parameter on fluid velocities in both regions are investigated. The results are graphically represented.

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A study of non-newtonian aspects of blood flow through stenosed arteries and its applications in arterial diseases

Cited by 136 publications

References 0 publications

Thermodynamic Analysis for the MHD Flow of Two Immiscible Micropolar Fluids Between Two Parallel Plates

Thermodynamic Analysis for the MHD Flow of Two Immiscible Micropolar Fluids Between Two Parallel Plates

Mathematical model for a Herschel-Bulkley fluid flow in an elastic tube

Non Darcian Approach to Flow of an Incompressible Viscous Fluid Between Two Semi-Infinite Parallel Plates Partially Filled With Highly Porous Medium

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