Mathematical modeling of power law and Herschel - Buckley non-Newtonian fluid of blood flow through a stenosed artery with permeable wall: Effects of slip velocity

In the present study, blood flow in a stenosed tube is modeled. Blood is assumed to be represented by couple stress fluid. The growth projects into the lumen of the artery and blood flow is disturbed; thus, a potential coupling develops between the growth and the blood flow through the artery. An analysis of the effect of an axially symmetric growth into the lumen of a tube of constant cross-section through which a Newtonian fluid is steadily flowing is presented. The importance of the effect of slip velocity in stenosed tube is highlighted.

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Mathematical Modeling on Blood flow through a stenosed artery with Heat Transfer under the Impact of Slip condition

Journal of Physics Conference Series ◽

10.1088/1742-6596/1850/1/012127 ◽

2021 ◽

Vol 1850 (1) ◽

pp. 012127

Author(s):

D. Karthikeyan ◽

V. Kavitha ◽

R. Sathishkumar

Keyword(s):

Mathematical Modeling ◽

Heat Transfer ◽

Blood Flow ◽

Slip Condition ◽

Stenosed Artery ◽

Flow Through ◽

The Impact

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UNSTEADY TWO-LAYERED BLOOD FLOW THROUGH A -SHAPED STENOSED ARTERY USING THE GENERALIZED OLDROYD-B FLUID MODEL

The ANZIAM Journal ◽

10.1017/s1446181116000134 ◽

2016 ◽

Vol 58 (1) ◽

pp. 96-118 ◽

Cited By ~ 2

Author(s):

AKBAR ZAMAN ◽

NASIR ALI ◽

O. ANWAR BEG ◽

M. SAJID

Keyword(s):

Blood Flow ◽

Differential Equations ◽

Newtonian Fluid ◽

Numerical Solutions ◽

Fluid Model ◽

Initial Boundary ◽

Momentum Conservation ◽

Rheological Parameters ◽

Stenosed Artery ◽

Flow Through

A theoretical study of an unsteady two-layered blood flow through a stenosed artery is presented in this article. The geometry of a rigid stenosed artery is assumed to be$w$-shaped. The flow regime is assumed to be laminar, unsteady and uni-directional. The characteristics of blood are modelled by the generalized Oldroyd-B non-Newtonian fluid model in the core region and a Newtonian fluid model in the periphery region. The governing partial differential equations are derived for each region by using mass and momentum conservation equations. In order to facilitate numerical solutions, the derived differential equations are nondimensionalized. A well-tested explicit finite-difference method (FDM) which is forward in time and central in space is employed for the solution of a nonlinear initial boundary value problem corresponding to each region. Validation of the FDM computations is achieved with a variational finite element method algorithm. The influences of the emerging geometric and rheological parameters on axial velocity, resistance impedance and wall shear stress are displayed graphically. The instantaneous patterns of streamlines are also presented to illustrate the global behaviour of the blood flow. The simulations are relevant to haemodynamics of small blood vessels and capillary transport, wherein rheological effects are dominant.

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The Effect of Slip Velocity on Unsteady Peristalsis MHD Blood Flow through a Constricted Artery Experiencing Body Acceleration

International Journal of Applied Mechanics and Engineering ◽

10.2478/ijame-2019-0040 ◽

2019 ◽

Vol 24 (3) ◽

pp. 645-659 ◽

Cited By ~ 2

Author(s):

J. Nandal ◽

S. Kumari ◽

R. Rathee

Keyword(s):

Blood Flow ◽

Shear Stress ◽

Wall Shear Stress ◽

Flow Rate ◽

Axial Velocity ◽

Slip Velocity ◽

Volumetric Flow Rate ◽

Body Acceleration ◽

Stenosed Artery ◽

Flow Through

Abstract In this analysis, we present a theoretical study to examine the combined effect of both slip velocity and periodic body acceleration on an unsteady generalized non-Newtonian blood flow through a stenosed artery with permeable wall. A constant transverse magnetic field is applied on the peristaltic flow of blood, treating it as an elastico-viscous, electrically conducting and incompressible fluid. Appropriate transformation methods are adopted to solve the unsteady non-Newtonian axially symmetric momentum equation in the cylindrical polar coordinate system with suitably prescribed conditions. To validate the applicability of the proposed analysis, analytical expressions for the axial velocity, fluid acceleration, wall shear stress and volumetric flow rate are computed and for having an adequate insight to blood flow behavior through a stenosed artery, graphs have been plotted with varying values of flow variables, to analyse the influence of the axial velocity, wall shear stress and volumetric flow rate of streaming blood.

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