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there is no difference between the Casson's plots and the Herschel-Bulkley
plots of experimental data over the range where the Casson's plot is valid.
Also, he suggested that the assumptions included in the Casson's equation
are unsuitable for cow's blood and that the Herschel-Bulkley equation
represents fairly closely what is occurring in the blood. As the Herschel-
Bulkley equation contains one more parameter than as compared to Cas-
son's equation, it will be expected that more detailed information about
blood properties could be obtained by the use of the Herschel-Bulkley
equation. It has been demonstrated by Blair [3] and Copley [4] that the
Casson fluid model is adequate for the representation of the simple shear
behavior of blood in narrow arteries. Casson [5] examined the validity of
Casson fluid model in his studies pertaining to the flow characteristics
of blood and reported that at low shear rates the yield stress for blood is
nonzero. It has been established by Merrill et al. [6] that the Casson fluid
model predicts satisfactorily the flow behaviors of blood in tubes with the
diameter of 130-1,000
μ
m. Charm and Kurland [7] pointed out in their
experimental findings that the Casson fluid model could be the best repre-
sentative of blood when it flows through narrow arteries at low shear rates
and that it could be applied to human blood at a wide range of hematocrit
and shear rates. Aroesty and Gross [8] developed a Casson fluid theory
for pulsatile blood flow through narrow uniform arteries. Chaturani and
Samy [9] analyzed the pulsatile flow of Casson fluid through stenosed
arteries using the perturbation method. Misra and Chakraborty [10] de-
veloped a mathematical model to study unsteady flow of blood through
arteries treating blood as a Newtonian viscous incompressible fluid paying
due attention to the orthotropic material behavior of the wall tissues. The
analysis explored the wall stress in the stenotic region and the shear stress
at stenotic throat. The tapered blood vessel segment having a stenosis in
its lumen is modeled as a thin elastic tube with a circular cross-section
containing a non-Newtonian incompressible fluid. Nanda and Basu Mallik
[11] presented a theoretical study for the distribution of axial velocity for
blood flow in a branch capillary emerging out of a parent artery at various
locations of the branch. The results are computed for various values of
r
and the angle made by the branch capillary with the parent artery. A math-
ematical analysis of MHD flow of blood in very narrow capillaries in the
presence of stenosis has been studied by Jain et al. [12]. It is assumed that
the arterial segment is a cylindrical tube with time-dependent multisteno-
sis. In the proposed investigation, an attempt will be made to deal with a
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