Pulsatile blood flow in constricted tapered artery using a variable-order fractional Oldroyd-B model | Zendy

Hamzah Bakhti | Zendy; L. Azrar | Zendy; Dumitru Băleanu | Zendy

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Pulsatile blood flow in constricted tapered artery using a variable-order fractional Oldroyd-B model

Author(s) -

Hamzah Bakhti,

L. Azrar,

Dumitru Băleanu

Publication year - 2016

Publication title -

thermal science

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.339

H-Index - 43

eISSN - 2334-7163

pISSN - 0354-9836

DOI - 10.2298/tsci160421237b

Subject(s) - pulsatile flow , viscoelasticity , shear stress , blood flow , constitutive equation , fractional calculus , mathematics , mechanics , mathematical analysis , physics , medicine , finite element method , cardiology , thermodynamics

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

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