A Two-Layered Suspension Blood Flow Through a Composite Stenosis

Alana Rowena Sankar, Sreedhara Rao Gunakala, Donna M. G. Comissiong


Blood flow in the presence of a composite stenosis is investigated by examining the effects that red cell concentration, stenosis height and a peripheral layer have on blood flow characteristics. A two-layered model with a particle-fluid suspension in the core region and a peripheral plasma layer without any particles is used to represent blood. Expressions for three flow characteristics (impedance, wall shear stress and shear stress at the stenosis throat) are derived. Flow impedance increases with increasing hematocrit, stenosis height and diameter of the vessel but decreases with increasing tube length. The shear stress on the wall increases with increasing hematocrit, stenosis height and diameter of the vessel. Trends in the shear stress at the stenosis throat and impedance are similar with the variation of any parameter. The two-fluid model's flow characteristics are lower than those of the one-fluid model. In the analysis of the particle-fluid suspension the flow characteristics there were higher than when flow is considered to be particle-free. This knowledge of how the peripheral layer affects blood flow characteristics can aid in the understanding of diseased arterial systems.

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DOI: https://doi.org/10.5539/jmr.v5n4p26

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Journal of Mathematics Research   ISSN 1916-9795 (Print)   ISSN 1916-9809 (Online)

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