Blood flow through arteries in a pathological state: A theoretical study

Misra, J. C.; Shit, G. C.

doi:10.1016/j.ijengsci.2005.12.011

Cited by 74 publications

(55 citation statements)

References 10 publications

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“…The flow geometry of stenosed artery and the stenosis models are illustrated in Fig.1a and Fig.1b. This stenosis is considered as bell-shaped and the geometry of the stenosis is drawn mathematically from the following equation [Misra & Shit, 2006] …”

Section: Problem Formulationmentioning

confidence: 99%

Analysis of Wall Shear Parameters of Physiological Pulsatile Flow Through Mild and Severe Arterial Stenosis and Correlation to Atherosclerosis

Goswami

Mandal²,

Manna

et al. 2017

Mijst

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Section: Problem Formulationmentioning

confidence: 99%

Analysis of Wall Shear Parameters of Physiological Pulsatile Flow Through Mild and Severe Arterial Stenosis and Correlation to Atherosclerosis

Goswami

Mandal²,

Manna

et al. 2017

Mijst

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“…Usually they contain additional elements like nozzles, valves, elbows, etc., which have had an influence on the secondary flows. One of the bio-engineering problems is analysis of blood flow in vanes with stenosis, some of the papers discussed it [2,7]. The negative effects of stenosed vanes or narrowed channels can be tried to be reduced with application of magnetic field.…”

Section: Introductionmentioning

confidence: 99%

Velocity and temperature maldistribution due to the magnetic field influence

Pleskacz¹,

Fornalik-Wajs²,

Roszko³

2014

ZN PRz Mechanika

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The elements that possess the ability of changing the flow structure (neckings, nozzles, valves, elbows) can be found in numerous industrial and medical applications. This ability leads to the velocity and temperature fields modification and can be a reason of negative effects like pressure loss. These negative effects can be reduced by the usage of magnetic field. Magnetic control of weakly magnetic fluids' velocity and temperature distributions is well known. Presented paper considers the numerical analysis of velocity and temperature maldistribution due to the influence of strong magnetic field. The analysis was carried out for threedimensional circular duct with simplified stenosis (narrowing of the blood vessels), which took form of confusor-diffuser section of the pipe. The system included duct and the magnetic coil that was oriented perpendicularly to the flow axis and placed in between confusor and diffuser. The wall of the stenosis was divided into subzones partially heated in order to control the velocity and temperature fields. Biot-Savart's law was applied to calculate the distribution of the magnetic field, which was then used to obtain the magnetic force distribution and added to principle of conservation of momentum equations as the external body force. Commercially available software Ansys Fluent 13 was chosen to conduct the numerical analysis, however special user-defined modulus to calculate the distribution of magnetic force was prepared and implemented in it. The results pointed out that the usage of magnetic field might provide a significant change in both velocity and temperature distribution, especially for low Reynolds number flows.

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“…Different studies on the flow of blood through arterial segments with obstruction have been carried out experimentally and theoretically by several investigators [1][2][3][4][5][6][7]. The assumption of Newtonian behavior of blood is acceptable for high shear rate flow through larger arteries [4].…”

Section: Introductionmentioning

confidence: 99%

Slip Effects on Pulsatile Flow of Blood through a Stenosed Arterial Segment under Periodic Body Acceleration

Sinha

Shit

Kundu

2013

ISRN Biomedical Engineering

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A theoretical investigation concerning the influence of externally imposed periodic body acceleration on the flow of blood through a time-dependent stenosed arterial segment by taking into account the slip velocity at the wall of the artery has been carried out. A mathematical model is developed by treating blood as a non-Newtonian fluid obeying the Casson fluid model. The pulsatile flow is analyzed by considering a periodic pressure gradient and the inertial effects as negligibly small. A suitable generalized geometry for time-dependent stenosis is taken into account. Perturbation method is used to solve the coupled implicit system of nonlinear differential equations that govern the flow of blood. Analytical expressions for the velocity profile, volumetric flow rate, and wall shear stress are obtained. A thorough quantitative analysis has been made through numerical computations of the variables involved in the analysis that are of special interest in this study. The computational results are presented graphically. The results for different values of the parameters involved in the problem under consideration presented here show that the flow is appreciably influenced by slip velocity in the presence of periodic body acceleration.

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Blood flow through arteries in a pathological state: A theoretical study

Cited by 74 publications

References 10 publications

Analysis of Wall Shear Parameters of Physiological Pulsatile Flow Through Mild and Severe Arterial Stenosis and Correlation to Atherosclerosis

Analysis of Wall Shear Parameters of Physiological Pulsatile Flow Through Mild and Severe Arterial Stenosis and Correlation to Atherosclerosis

Velocity and temperature maldistribution due to the magnetic field influence

Slip Effects on Pulsatile Flow of Blood through a Stenosed Arterial Segment under Periodic Body Acceleration

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