Sankar, D. S. and Yatim, Yazariah
(2012)
Comparative Analysis of Mathematical Models for Blood Flow in Tapered Constricted Arteries.
Abstract and Applied Analysis, 2012 (235960).
pp. 1-34.
ISSN 1085-3375
Abstract
Pulsatile flow of blood in narrow tapered arteries with mild overlapping stenosis in the presence
of periodic body acceleration is analyzed mathematically, treating it as two-fluid model with the
suspension of all the erythrocytes in the core region as non-Newtonian fluid with yield stress and
the plasma in the peripheral layer region as Newtonian. The non-Newtonian fluid with yield stress
in the core region is assumed as �i� Herschel-Bulkley fluid and �ii� Casson fluid. The expressions for
the shear stress, velocity, flow rate, wall shear stress, plug core radius, and longitudinal impedance
to flow obtained by Sankar �2010� for two-fluidHerschel-Bulkleymodel and Sankar and Lee �2011�
for two-fluid Casson model are used to compute the data for comparing these fluid models. It
is observed that the plug core radius, wall shear stress, and longitudinal impedance to flow are
lower for the two-fluid H-B model compared to the corresponding flow quantities of the two-fluid
Casson model. It is noted that the plug core radius and longitudinal impedance to flow increases
with the increase of the maximum depth of the stenosis. The mean velocity and mean flow rate of
two-fluid H-B model are higher than those of the two-fluid Casson model.
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