Unsteady Flow of a Two-Layer Blood Stream Past a Tapered Flexible Artery under Stenotic Conditions

Verfasser / Beitragende:
Chakravarty, Santabrata; Sarifuddin,; Mandal, Prashanta Kumar
Ort, Verlag, Jahr:
2004
Enthalten in:
Computational Methods in Applied Mathematics, 4/4(2004), 391-409
Format:
Artikel (online)
ID: 378936689
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024 7 0 |a 10.2478/cmam-2004-0022  |2 doi 
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245 0 0 |a Unsteady Flow of a Two-Layer Blood Stream Past a Tapered Flexible Artery under Stenotic Conditions  |h [Elektronische Daten] 
520 3 |a The mechanics of the blood flow in a flexible tapered artery with stenosis is studied from the viewpoint of a mathematical model. The flowing blood is represented by a two-fluid model, consisting of a core region of suspension of all erythrocytes assumed to be characterized by a Casson fluid and a peripheral plasma layer free from cells of any kind as a Newtonian fluid. The moving wall of the artery is treated as an anisotropic, linear viscoelastic incompressible circular cylindrical membrane cell. The effect of the surrounding connective tissues on the motion of the artery wall is also given due attention. The unsteady flow mechanism, subjected to a pulsatile pressure gradient has been solved using the finite difference scheme by exploiting the appropriate physically realistic prescribed conditions. The present model is also employed to study the effect of taper angle, the wall deformation, the severity of the stenonis, the viscosity of the peripheral layer, and the non-Newtonian rheology of streaming blood on the dynamic flow field. Finally, the numerical illustration presented at the end of the paper provides an effective quantitative measure of the flux, the resistive impedance and the wall shear stress through their graphical representations and also a few comparisons with the existing results have been made in order to validate the applicability of the present model. 
540 |a This article is distributed under the terms of the Creative Commons Attribution Non-Commercial License, which permits unrestricted non-commercial use, distribution, and reproduction in any medium, provided the original work is properly cited. 
690 7 |a Casson model  |2 nationallicence 
690 7 |a tapered artery  |2 nationallicence 
690 7 |a stenosis  |2 nationallicence 
690 7 |a wall shear stress  |2 nationallicence 
690 7 |a peripheral layer  |2 nationallicence 
700 1 |a Chakravarty  |D Santabrata  |u Department of Mathematics, Visva-Bharati University, P.O.-Santiniketan,731235, W.B., INDIA 
700 1 |a Sarifuddin,  |u Department of Mathematics, Visva-Bharati University, P.O.-Santiniketan,731235, W.B., INDIA 
700 1 |a Mandal  |D Prashanta Kumar  |u Department of Mathematics, Krishnath College, P.O.-Berhampore, 742101 W.B., INDIA. 
773 0 |t Computational Methods in Applied Mathematics  |d De Gruyter  |g 4/4(2004), 391-409  |x 1609-4840  |q 4:4<391  |1 2004  |2 4  |o cmam 
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950 |B NATIONALLICENCE  |P 700  |E 1-  |a Chakravarty  |D Santabrata  |u Department of Mathematics, Visva-Bharati University, P.O.-Santiniketan,731235, W.B., INDIA 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Sarifuddin  |u Department of Mathematics, Visva-Bharati University, P.O.-Santiniketan,731235, W.B., INDIA 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Mandal  |D Prashanta Kumar  |u Department of Mathematics, Krishnath College, P.O.-Berhampore, 742101 W.B., INDIA 
950 |B NATIONALLICENCE  |P 773  |E 0-  |t Computational Methods in Applied Mathematics  |d De Gruyter  |g 4/4(2004), 391-409  |x 1609-4840  |q 4:4<391  |1 2004  |2 4  |o cmam 
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