Mathematical modeling of micropolar fluid flow through an overlapping arterial stenosis

Haghighi, Ahmad Reza; Asl, Mohammad Shahbazi

doi:10.1142/s1793524515500564

Cited by 36 publications

(18 citation statements)

References 33 publications

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“…Thus, there exists a vast number of recent results concerning the engineering applications, primarily in biomedicine (see e.g. [2], [3], [4]) as well as rigorous results (see e.g. [5], [6], [7], [8]) providing various effective models for micropolar fluid flows.…”

Section: Introductionmentioning

confidence: 99%

On The Lubrication of a Rotating Shaft with Incompressible Micropolar Fluid

Paloka¹,

Pažanin²,

Radulović³

2020

Topical Problems of Fluid Mechanics 2020

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In this work, we investigate the lubrication process of a slipper bearing. The slipper bearing consists of two coaxial cylinders in relative motion, where an incompressible micropolar fluid (lubricant) is injected in a thin gap between them. We compute the asymptotic approximation of the solution to the governing micropolar system as a power series in terms of the small parameter ε representing the thickness of the shaft. The proposed approximation is given in the explicit form, allowing us to clearly observe the effects of the micropolar nature of the fluid.

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Section: Introductionmentioning

confidence: 99%

On The Lubrication of a Rotating Shaft with Incompressible Micropolar Fluid

Paloka¹,

Pažanin²,

Radulović³

2020

Topical Problems of Fluid Mechanics 2020

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“…In this way, we obtain a coupled system of partial differential equations that are well suited for modeling the behavior of various non-Newtonian fluids including liquid crystals, animal blood, muddy fluids, certain polymeric fluids, and even water at small scales. For this reason, there exist a vast number of recent results concerning the engineering applications of the model, primarily in biomedicine and blood flow modeling (see, e.g., [2][3][4][5]), as well as a number of papers providing rigorous mathematical treatment of various effective models for micropolar fluids (see, e.g., [6][7][8][9][10][11]). A comprehensive survey of the modern mathematical theory underlying the micropolar fluid model can be found in the monograph [12].…”

Section: Introductionmentioning

confidence: 99%

Justification of the Higher Order Effective Model Describing the Lubrication of a Rotating Shaft with Micropolar Fluid

2020

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Motivated by the lubrication processes naturally appearing in numerous industrial applications (such as steam turbines, pumps, compressors, motors, etc.), we study the lubrication process of a slipper bearing consisting of two coaxial cylinders in relative motion with an incompressible micropolar fluid (lubricant) injected in the thin gap between them. The asymptotic approximation of the solution to the governing micropolar fluid equations is given in the form of a power series in terms of the small parameter ε representing the thickness of the shaft. The regular part of the approximation is obtained in the explicit form, allowing us to acknowledge the effects of fluid’s microstructure clearly through the presence of the microrotation viscosity in the expressions for the first-order velocity and microrotation correctors. We provide the construction of the boundary layer correctors at the upper and lower boundary of the shaft along with the construction of the divergence corrector, allowing us to improve our overall estimate. The derived effective model is rigorously justified by proving the error estimates, evaluating the difference between the original solution of the considered problem and the constructed asymptotic approximation.

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“…compared with the previous works, in this way, a dynamical parameter is added to the simulation of blood flow [11][12]. This acceleration affects the blood flow to have some abnormal and sometimes dangerous reactions against the sudden movements which need to be investigated (loss of vision, increasing heart rate, abdominal pain, bleeding in the face) [13][14][15]. Zaman et al [16] performed an interesting work on the unsteady blood flow inside a catheterized artery as a mild stenotic in channel using the micropolar model to clarify the rheological Factors of the blood.…”

Section: Introductionmentioning

confidence: 99%

A Numerical Study of Heat Transfer and Flow Characteristics of Pulsatile Blood Flow in a Tapered Artery with a Combination of Stenosis and Aneurysm

Haghighi¹,

Pirhadi²

2019

IJHT

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This research focuses on numerical patterns of temperature distribution and blood flow through tapered arteries. The blood flow is considered as an incompressible and fully developed flow with Non-Newtonian nature assumed as modified Cross fluid which is inside a body under certain acceleration. Also, the impact of heat transfer regarding a single layer model on an unstable and pulsatile blood flow through a designed tapered artery with a combination of stenotic and aneurysm is investigated. The wall of artery is designed as an elastic tube, so, its geometry changes during the numerical computations is up to time. This research uses a suitable coordinate transformation to create an exact mesh with rectangular mesh units. In the case of the thermophysical parameters of blood flow field including the velocity pattern and temperature distributions, the governing equations are managed and solved based on the finite difference method and then, the reported results are discussed as a function of velocity and temperature. The outputs of this mathematical modeling are compared with some available and proved results in previous researches to confirm the accuracy and validity of the method. The variations in dynamic features of blood flow wall shear stress, volumetric flow rate and flow resistance can be analyzed and computed on basis of the pattern of velocity profile in assumed domain. Furthermore, contour plots of temperature and velocity for specified parameters are provided.

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Mathematical modeling of micropolar fluid flow through an overlapping arterial stenosis

Cited by 36 publications

References 33 publications

On The Lubrication of a Rotating Shaft with Incompressible Micropolar Fluid

On The Lubrication of a Rotating Shaft with Incompressible Micropolar Fluid

Justification of the Higher Order Effective Model Describing the Lubrication of a Rotating Shaft with Micropolar Fluid

A Numerical Study of Heat Transfer and Flow Characteristics of Pulsatile Blood Flow in a Tapered Artery with a Combination of Stenosis and Aneurysm

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