caa a22 4500 378936689 CHVBK 20180305123642.0 cr unu---uuuuu 161128s2004 xx s 000 0 eng 10.2478/cmam-2004-0022 doi (NATIONALLICENCE)gruyter-10.2478/cmam-2004-0022 Unsteady Flow of a Two-Layer Blood Stream Past a Tapered Flexible Artery under Stenotic Conditions [Elektronische Daten] 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. 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. Casson model nationallicence tapered artery nationallicence stenosis nationallicence wall shear stress nationallicence peripheral layer nationallicence Chakravarty Santabrata Department of Mathematics, Visva-Bharati University, P.O.-Santiniketan,731235, W.B., INDIA Sarifuddin, Department of Mathematics, Visva-Bharati University, P.O.-Santiniketan,731235, W.B., INDIA Mandal Prashanta Kumar Department of Mathematics, Krishnath College, P.O.-Berhampore, 742101 W.B., INDIA. Computational Methods in Applied Mathematics De Gruyter 4/4(2004), 391-409 1609-4840 4:4<391 2004 4 cmam https://doi.org/10.2478/cmam-2004-0022 text/html Onlinezugriff via DOI 1 research article jats NATIONALLICENCE 856 40 https://doi.org/10.2478/cmam-2004-0022 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Chakravarty Santabrata Department of Mathematics, Visva-Bharati University, P.O.-Santiniketan,731235, W.B., INDIA NATIONALLICENCE 700 1- Sarifuddin Department of Mathematics, Visva-Bharati University, P.O.-Santiniketan,731235, W.B., INDIA NATIONALLICENCE 700 1- Mandal Prashanta Kumar Department of Mathematics, Krishnath College, P.O.-Berhampore, 742101 W.B., INDIA NATIONALLICENCE 773 0- Computational Methods in Applied Mathematics De Gruyter 4/4(2004), 391-409 1609-4840 4:4<391 2004 4 cmam CC0 http://creativecommons.org/publicdomain/zero/1.0 nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-gruyter