A micropolar fluid model of blood flow through a tapered artery with a stenosis

A nonlinear two‐dimensional micropolar fluid model for blood flow in a tapered artery with a single stenosis is considered. This model takes into account blood rheology in which blood consists of microelements suspended in plasma. The classical Navier–Stokes theory is inadequate to describe the micr...

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Bibliographic Details
Published in:Mathematical methods in the applied sciences Vol. 33; no. 16; pp. 1910 - 1923
Main Authors: Abdullah, Ilyani, Amin, Norsarahaida
Format: Journal Article
Language:English
Published: Chichester, UK John Wiley & Sons, Ltd 15.11.2010
Wiley
Subjects:
Algebraic topology
blood flow
Exact sciences and technology
finite-difference scheme
Mathematical analysis
mathematical model
Mathematics
micropolar fluid
Numerical analysis
Numerical analysis. Scientific computation
Partial differential equations
Partial differential equations, boundary value problems
Partial differential equations, initial value problems and time-dependant initial-boundary value problems
Sciences and techniques of general use
Topology. Manifolds and cell complexes. Global analysis and analysis on manifolds
micropolar fluid
Initial value problem
finite-difference scheme
Two dimensional model
Mathematical method
Partial differential equation
Non linear equation
Numerical analysis
Boundary value problem
Applied mathematics
Non linear model
Abstract space
Mathematical model
blood flow
Finite difference method
ISSN:0170-4214, 1099-1476
Online Access:Get full text
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Summary:A nonlinear two‐dimensional micropolar fluid model for blood flow in a tapered artery with a single stenosis is considered. This model takes into account blood rheology in which blood consists of microelements suspended in plasma. The classical Navier–Stokes theory is inadequate to describe the microrotations or particles' spin of such suspension in a viscous medium. The governing equations involving unsteady nonlinear partial differential equations are solved using a finite difference scheme. A quantitative analysis performed through numerical computation shows that the axial velocity profile and the flow rate decrease and the wall shear stress increases once the artery is narrower in the presence of the polar effect. Furthermore, the taper angle certainly bears the potential to influence the velocity and the flow characteristics to considerable extent. Copyright © 2010 John Wiley & Sons, Ltd.
Bibliography:JPA (SLAB)
ArticleID:MMA1303
Vote 78087
ark:/67375/WNG-C1MS5CJ8-9
istex:719A322ED055DFA01D78428C31F248C2DD699B3C
UMT
UTM
ISSN:0170-4214
1099-1476
DOI:10.1002/mma.1303