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. 134.
ISSN 10853375
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 twofluid model with the
suspension of all the erythrocytes in the core region as nonNewtonian fluid with yield stress and
the plasma in the peripheral layer region as Newtonian. The nonNewtonian fluid with yield stress
in the core region is assumed as �i� HerschelBulkley 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 twofluidHerschelBulkleymodel and Sankar and Lee �2011�
for twofluid 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 twofluid HB model compared to the corresponding flow quantities of the twofluid
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
twofluid HB model are higher than those of the twofluid Casson model.
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