Mathematical model of pulsatile flow of non-Newtonian fluid in tubes of varying cross-sections and its implications to blood flow

Ponalagusamy, R.; Selvi, R. Tamil; Banerjee, A. K.

doi:10.1016/j.jfranklin.2012.02.001

Cited by 30 publications

(7 citation statements)

References 34 publications

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“…2-9, time-dependent shear stress has been plotted against radial distances at a given position of stenosis, z = 28, and varying time in the range t ∈ [1,15]. These graphs show consistent increase in shear stress such that it reaches its maximum value on the boundary wall (x = 1).…”

Section: Discussionmentioning

confidence: 96%

“…An investigation of flow dynamics in a tubular channel on arterial stenosis with inclusion of time parameter was also done by Young [3]. These studies invited multi-faceted analyses [4][5][6][7][8][9][10][11][12][13][14][15][16][17] of propagation of Newtonian fluid through constricting channels including factors of magnetic field, body acceleration and pulsatile nature of blood flow. Deshpande et al [18] gave a new dimension to this investigation by developing a scheme to study Newtonian fluid flow through a stenosis that can be described axisymmetrically.…”

Section: Introductionmentioning

confidence: 99%

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Role of a structural parameter in modelling blood flow through a tapering channel

Shahid

2018

Bound Value Probl

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An investigation of thixotropic parameter influence on blood flow in a stenosed tapered vessel has been carried out by means of analytical and numerical methods. We have studied how variation of a parameter in a range [0,1], chosen following the evolution of transient shear, flows with time in this particular range and impacts the dynamics of an unsteady, non-Newtonian fluid flow. An approximation of a simpler dynamical system was approached with the help of a particular set of non-dimensional variables. Unique representations of axial velocity, shear stress and flow rate have been made such that their dependence on pressure gradient can be further analysed. Some factors that either impede the flow or help to accelerate it in a narrow channel in addition to varying yield stress and thixotropic parameter have been numerically investigated. The purpose of the current investigation is also to decide whether the particular model parameter regulates the dynamics of flow in a vessel differently from other known non-Newtonian models and what specific range or values of this parameter bring this model's results to coincide with other models' results

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Section: Discussionmentioning

confidence: 96%

Section: Introductionmentioning

confidence: 99%

Role of a structural parameter in modelling blood flow through a tapering channel

Shahid

2018

Bound Value Probl

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“…Cross fluid models can reduce the challenges when the shear rate is largely enhanced. Various researchers [24,25] are investigating in this direction for blood as well as its properties. The effect of thermal radiative on Cross nanofluid through heat sour/sink was described by Nazeer et al [26].…”

Section: Introductionmentioning

confidence: 99%

Irreversibility analysis of cross fluid past a stretchable vertical sheet with mixture of Carboxymethyl cellulose water based hybrid nanofluid

Ali

Kumar²,

Loganathan³

et al. 2023

Alexandria Engineering Journal

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“…Using finite volume method they solidified the influence of stenosis and non-Newtonian viscosity on hemodynamic parameters. The rheology of blood as non-Newtonian Herschel-Bulkley model along with the coupled effects of stenosis height and shape on the flow characteristics are examined by Ponalagusamy et al [11]. They have presented a suitable mathematical model for the pulsatile blood flow in tubes of uniform and non-uniform cross-sections.…”

Section: Introductionmentioning

confidence: 99%

Influence of Electromagnetic Field and Thermal Radiation on Pulsatile Blood Flow with Nanoparticles in a Constricted Porous Artery

Selvi

Ponalagusamy

Padma

2021

Int. J. Appl. Comput. Math

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A theoretical model is proposed to investigate the coupled effects of thermal radiation and electromagnetic field on the blood flow in a stenosed tapered artery. Here, blood is treated as a non-Newtonian Jeffrey fluid model which includes magnetic particles. The magnetohydrodynamic flow is pulsatile, and exhibits slip velocity at the complaint wall. The flow medium consists of a cylindrical rigid tube with porous medium that is subjected to periodic body acceleration, transverse external magnetic field and applied electric field in the axial direction. Assuming the existence of mild stenosis, a set of flow governing equations is solved using integral transform method. Further, exact solutions are computed for non-dimensional temperature and velocity profiles of fluid and particles. Additionally, equations for different flow characteristics such as wall shear stress, volumetric flow rate, and flow resistance are derived and discussed through graphical illustrations. Results demonstrate that the temperature of blood increases with the increase of heat absorption coefficient and time. However, the temperature decreases with the increase of radiation number and Peclet number. While the velocity profile is directly proportional to the Grashof number and heat absorption coefficient, it is inversely proportional to the radiation number and Peclet number. The applied electric field diminishes the magnitude of fluid's flow resistance, but it increases with the increase of the magnetic field strength. By combining heat radiation with electromagnetic field, this study contributes to new insights to the physical properties of blood.

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Mathematical model of pulsatile flow of non-Newtonian fluid in tubes of varying cross-sections and its implications to blood flow

Cited by 30 publications

References 34 publications

Role of a structural parameter in modelling blood flow through a tapering channel

Role of a structural parameter in modelling blood flow through a tapering channel

Irreversibility analysis of cross fluid past a stretchable vertical sheet with mixture of Carboxymethyl cellulose water based hybrid nanofluid

Influence of Electromagnetic Field and Thermal Radiation on Pulsatile Blood Flow with Nanoparticles in a Constricted Porous Artery

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