THEORETICAL ANALYSIS OF BLOOD FLOW THROUGH AN ARTERIAL SEGMENT HAVING MULTIPLE STENOSES

2008 ◽  
Vol 08 (02) ◽  
pp. 265-279 ◽  
Author(s):  
J. C. MISRA ◽  
A. SINHA ◽  
G. C. SHIT
Keyword(s):  
Plasma Layer ◽  
Casson Fluid ◽  
Core Region ◽  
Computational Results ◽  
Arterial Segment ◽  
Peripheral Plasma ◽  
Stenosed Artery ◽  
Generalized Geometry ◽  
Flow Through ◽  
Peripheral Plasma Layer

The present paper is concerned with the study of a mathematical model for the flow of blood through a multi-stenosed artery. Blood is considered here to consist of a peripheral plasma layer which is free from red cells, and a core region which is represented by a Casson fluid. A suitable generalized geometry of multiple stenoses existing in the arterial segment under consideration is taken for the study. A thorough quantitative analysis has been made through numerical computations of the variables involved in the analysis that are of special interest in the study. The computational results are presented graphically.

scholarly journals MATHEMATICAL ANALYSIS OF BLOOD FLOW THROUGH AN ARTERIAL SEGMENT WITH TIME‐DEPENDENT STENOSIS

2008 ◽  
Vol 13 (3) ◽  
pp. 401-412 ◽  
Author(s):  
Jagadis Chandra Misra ◽  
Sudi D. Adhikary ◽  
Gopal Chandra Shit
Keyword(s):  
Pulsatile Flow ◽  
Plasma Layer ◽  
Volumetric Flow Rate ◽  
Core Layer ◽  
Casson Fluid ◽  
Time Dependent ◽  
Arterial Segment ◽  
Small Vessels ◽  
Physiological Fluid ◽  
Peripheral Plasma Layer

A mathematical model is developed here with an aim to study the pulsatile flow of blood through an arterial segment having a time‐dependent stenosis. Blood is considered to consist of a core layer where erythrocytes are concentrated and a peripheral plasma layer that is free from erythrocytes. The plasma layer is taken to behave as a Newtonian fluid, while the core layer is represented by as a Casson fluid (non‐Newtonian) model. The pulsatile flow is analyzed by considering a periodic pressure gradient, which is a function of time. A perturbation analysis is employed to solve the governing differential equations by taking the Womersley frequency parameter to be small (α < 1). This is a realistic assumption for physiological fluid flows, particularly for flow of blood in small vessels. Using appropriate boundary conditions, analytical expressions for the velocity profile, the volumetric flow rate, the wall shear stress and the flow resistance have been derived. These expressions are computed numerically and the computational results are presented graphically, in order to illustrate the variation of different quantities that are of particular interest in the study.

scholarly journals Magneto Hydro Dynamic two fluid flow of blood through stenosed artery

2016 ◽  
Vol 12 (2) ◽  
pp. 5938-5944
Author(s):  
Surendra Kumar
Keyword(s):  
Magnetic Field ◽  
Fluid Flow ◽  
Plasma Layer ◽  
Plug Flow ◽  
Flow Region ◽  
Two Phase ◽  
The Core ◽  
Stenosed Artery ◽  
Flow Through ◽  
Two Fluid

When blood flow through artery, the two-phase nature of blood as a suspension becomes  important as the diameter of the red blood cell (RBC) becomes comparable to the tube diameter. The aim of the present study  is to analyzed the effect of magnetic field on the plug flow region, shear stress in the core and plasma layer in two-fluid flow of blood through stenosed artery. Besides magnetic field, the effect of Womersley parameter, thickness of stenosis and width of plasma layer are also discussed. Generated data are analyzed and discussed through graphs.

scholarly journals Numerical Simulation of Magnetohydrodynamic Influences on Casson Model for Blood Flow through an Overlapping Stenosed Artery

2021 ◽  
pp. 1016-1024
Author(s):  
Ahmed Bakheet ◽  
Esam A. Alnussairy
Keyword(s):  
Blood Flow ◽  
Flow Characteristics ◽  
Correction Method ◽  
Casson Fluid ◽  
Governing Equations ◽  
Finite Difference Technique ◽  
Stenosed Artery ◽  
Flow Phenomena ◽  
Flow Through ◽  
Unsteady Blood Flow

Magnetohydrodynamic (MHD) effects of unsteady blood flow on Casson fluid through an artery with overlapping stenosis were investigated. The nonlinear governing equations accompanied by the appropriate boundary conditions were discretized and solved based on a finite difference technique, using the pressure correction method with MAC algorithm. Moreover, blood flow characteristics, such as the velocity profile, pressure drop, wall shear stress, and patterns of streamlines, are presented graphically and inspected thoroughly for understanding the blood flow phenomena in the stenosed artery.

scholarly journals Numerical Simulation of Nonlinear Pulsatile Newtonian Blood Flow through a Multiple Stenosed Artery

2015 ◽  
Vol 2015 ◽  
pp. 1-10 ◽  
Author(s):  
Satyasaran Changdar ◽  
Soumen De
Keyword(s):  
Blood Flow ◽  
Flow Model ◽  
Cylindrical Tube ◽  
Navier Stokes ◽  
Normal Functioning ◽  
Arterial Segment ◽  
Navier Stokes Equation ◽  
Stenosed Artery ◽  
Incompressible Newtonian Fluid ◽  
Flow Through

An appropriate nonlinear blood flow model under the influence of periodic body acceleration through a multiple stenosed artery is investigated with the help of finite difference method. The arterial segment is simulated by a cylindrical tube filled with a viscous incompressible Newtonian fluid described by the Navier-Stokes equation. The nonlinear equation is solved numerically with the proper boundary conditions and pressure gradient that arise from the normal functioning of the heart. Results are discussed in comparison with the existing models.

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
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