MATHEMATICAL ANALYSIS OF CASSON FLUID FLOW THROUGH ELASTIC TUBE WITH APPLICATIONS TO BLOOD FLOW – A MATHEMATICAL STUDY

2016 ◽  
Vol 19 (3) ◽  
pp. 489-506
Author(s):  
D. S. Sankar ◽  
Maziri bin Dr. Hj Morsidi
Keyword(s):  
Blood Flow ◽  
Fluid Flow ◽  
Mathematical Analysis ◽  
Casson Fluid ◽  
Elastic Tube ◽  
Mathematical Study ◽  
Flow Through

A Non-Newtonian Fluid Flow Model for the Slip Condition on Blood Flow through a Stenosed Artery using Power-law Fluid

2018 ◽  
Vol 9 (7) ◽  
pp. 871-879
Author(s):  
Rajesh Shrivastava ◽  
R. S. Chandel ◽  
Ajay Kumar ◽  
Keerty Shrivastava and Sanjeet Kumar
Keyword(s):  
Blood Flow ◽  
Fluid Flow ◽  
Newtonian Fluid ◽  
Power Law ◽  
Flow Model ◽  
Slip Condition ◽  
Power Law Fluid ◽  
Stenosed Artery ◽  
Flow Through

scholarly journals Mechanics of non-Newtonian blood flow in an artery having multiple stenosis and electroosmotic effects

2021 ◽  
Vol 104 (3) ◽  
pp. 003685042110316
Author(s):  
Salman Akhtar ◽  
Luthais B McCash ◽  
Sohail Nadeem ◽  
Salman Saleem ◽  
Alibek Issakhov
Keyword(s):  
Blood Flow ◽  
Flow Problem ◽  
Fluid Model ◽  
Casson Fluid ◽  
Viscous Effects ◽  
Heating Effects ◽  
Casson Fluid Model ◽  
Flow Through ◽  
Mathematical Equations ◽  
Mathematica Software

The electro-osmotically modulated hemodynamic across an artery with multiple stenosis is mathematically evaluated. The non-Newtonian behaviour of blood flow is tackled by utilizing Casson fluid model for this flow problem. The blood flow is confined in such arteries due to the presence of stenosis and this theoretical analysis provides the electro-osmotic effects for blood flow through such arteries. The mathematical equations that govern this flow problem are converted into their dimensionless form by using appropriate transformations and then exact mathematical computations are performed by utilizing Mathematica software. The range of the considered parameters is given as [Formula: see text]. The graphical results involve combine study of symmetric and non-symmetric structure for multiple stenosis. Joule heating effects are also incorporated in energy equation together with viscous effects. Streamlines are plotted for electro-kinetic parameter [Formula: see text] and flow rate [Formula: see text]. The trapping declines in size with incrementing [Formula: see text], for symmetric shape of stenosis. But the size of trapping increases for the non-symmetric case.

The effect of body acceleration on the dispersion of solute in a non-Newtonian blood flow through an artery

2021 ◽  
Vol ahead-of-print (ahead-of-print) ◽  
Author(s):  
Nur Husnina Saadun ◽  
Nurul Aini Jaafar ◽  
Md Faisal Md Basir ◽  
Ali Anqi ◽  
Mohammad Reza Safaei
Keyword(s):  
Blood Flow ◽  
Boundary Conditions ◽  
Yield Stress ◽  
Solute Concentration ◽  
Casson Fluid ◽  
Blood Velocity ◽  
Content Type ◽  
Body Acceleration ◽  
Lead Angle ◽  
Flow Through

Purpose The purpose of this study is to solve convective diffusion equation analytically by considering appropriate boundary conditions and using the Taylor-Aris method to determine the solute concentration, the effective and relative axial diffusivities. Design/methodology/approach >An analysis has been conducted on how body acceleration affects the dispersion of a solute in blood flow, which is known as a Bingham fluid, within an artery. To solve the system of differential equations analytically while validating the target boundary conditions, the blood velocity is obtained. Findings The blood velocity is impacted by the presence of body acceleration, as well as the yield stress associated with Casson fluid and as such, the process of dispersing the solute is distracted. It graphically illustrates how the blood velocity and the process of solute dispersion are affected by various factors, including the amplitude and lead angle of body acceleration, the yield stress, the gradient of pressure and the Peclet number. Originality/value It is witnessed that the blood velocity, the solute concentration and also the effective and relative axial diffusivities experience a drop when either of the amplitude, lead angle or the yield stress rises.

scholarly journals Unsteady solute dispersion in blood rheology with reversible phase exchange at the artery wall

2018 ◽  
Vol 7 (2) ◽  
pp. 750
Author(s):  
D S Sankar ◽  
Nurul Aini Jaafar ◽  
Yazariah Yatim
Keyword(s):  
Blood Flow ◽  
Diffusion Coefficient ◽  
Blood Rheology ◽  
Expansion Method ◽  
Casson Fluid ◽  
Longitudinal Diffusion ◽  
Flowing Fluid ◽  
Derivative Series ◽  
Flow Through ◽  
Reversible Phase

The effect of reversible phase exchange between the flowing fluid and wall tissues of arteries in the unsteady dispersion of solute in blood flow through a narrow artery is analysed mathematically, modelling the blood as Casson fluid. The resulting convective diffusion equation along with the initial and boundary conditions is solved analytically using the derivative series expansion method. The expressions for the negative asymptotic phase exchange, negative asymptotic convection, longitudinal diffusion coefficient and mean concentration are obtained. It is noted that when the solute disperses in blood flow through a narrow artery, the negative exchange coefficient, the negative convection coefficient increase and the longitudinal diffusion coefficient decreases with the increase of the Damköhler number and partition coefficient.

MATHEMATICAL STUDY OF BLOOD FLOW IN AN ELASTIC TUBE WITH WALL DEFORMATION

2015 ◽  
Vol 92 (2) ◽  
pp. 81-93
Author(s):  
Rashid Ali ◽  
Monika Gupta ◽  
M. P. Singh ◽  
V. K. Katiyar
Keyword(s):  
Blood Flow ◽  
Elastic Tube ◽  
Mathematical Study ◽  
Wall Deformation

Analytical Modeling of a Descending Aorta Containing Human Blood Flow

2018 ◽  
Vol 384 ◽  
pp. 117-129 ◽  
Author(s):  
Mehdari Abdessamad ◽  
Mohamed Hasnaoui ◽  
Mohamed Agouzoul
Keyword(s):  
Blood Flow ◽  
Thin Shell ◽  
Analytical Modeling ◽  
Flow Behavior ◽  
Geodesic Curvature ◽  
Elastic Tube ◽  
Axisymmetric Vibration ◽  
Curvature Parameter ◽  
Flow Through ◽  
The Mathematical Model

In the recent years, blood flow through an aorta has been the main focus of many investigators. It shows particular interest in analyzing human aortic stiffness and blood flow behavior. Mainly, an unsteady state is applied for incompressible fluid, which is assumed to be newtonian. Artery is considered an elastic tube and the wall boundaries are isotropic. The analytical modeling of blood involves adopting an asymptotic approach according to a small aspect radio,which is inversely proportionalto Reynolds number. The wall has been assumed a thin shell, which generates a small axisymmetric vibration. The mathematical model of the wall is developed using the thin shell theory based on geodesic curvature parameter. In the end, the analytical results simulation is applied to have better understanding of the effects of blood flow behavior over the elasticity aortic wall properties.

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