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Open Access. Powered by Scholars. Published by Universities.®

Prairie View A&M University

2011

Critical height

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Full-Text Articles in Physics

A Two-Layered Non-Newtonian Arterial Blood Flow Through An Overlapping Constriction, V. P. Srivastava, Rochana Vishnoi, Shailesh Mishra, Poonam Sinha Jun 2011

A Two-Layered Non-Newtonian Arterial Blood Flow Through An Overlapping Constriction, V. P. Srivastava, Rochana Vishnoi, Shailesh Mishra, Poonam Sinha

Applications and Applied Mathematics: An International Journal (AAM)

The problem of blood flow through an overlapping constriction in arteries is investigated in this work. To account for the non-Newtonian behavior and the peripheral layer, blood has been represented by a two-fluid model, consisting of a core region of suspension of all the erythrocytes assumed to be a Casson fluid and a peripheral layer of plasma (Newtonian fluid). The expression for the flow characteristics, namely, the impedance, the wall shear stress, the shear stress at the stenosis throats and at the critical height of the stenosis has been derived. Moreover, we present some results concerning the dependence of these …