THERMAL SCIENCE

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Hamzah Bakhti

,

Lahcen Azrar

,

Baleanu Dumitru

PULSATILE BLOOD FLOW IN CONSTRICTED TAPERED ARTERY USING A VARIABLE-ORDER FRACTIONAL OLDROYD-B MODEL

ABSTRACT
The aim of this paper is to deal with the pulsatile flow of blood in stenosed arteries using one of the known constitutive models that describe the viscoelasticity of blood witch is the generalized Oldroyd-B model with a variable-order fractional derivative. Numerical approximation for the axial velocity and wall shear stress were obtained by use of the implicit finite-difference scheme. The velocity profile is analyzed by graphical illustrations. This mathematical model gives more realistic results that will help medical practitioners and it has direct applications in the treatment of cardiovascular diseases.
KEYWORDS
blood flow, Oldroyd-B, variable-order fractional derivative, stenosed tapered artery
PAPER SUBMITTED: 2016-04-21
PAPER REVISED: 2016-05-20
PAPER ACCEPTED: 2016-06-10
PUBLISHED ONLINE: 2016-10-01
DOI REFERENCE: https://doi.org/10.2298/TSCI160421237B
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2017, VOLUME 21, ISSUE Issue 1, PAGES [29 - 40]
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Pulsatile blood flow in constricted tapered artery using a variable-order fractional Oldroyd-B model

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